question_answer 1)
Which one of the following is not central tendency?
A)
Mean deviation done
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B)
Arithmetic mean done
clear
C)
Median done
clear
D)
Mode done
clear
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question_answer 2)
Which one of the following groups has different class size from others?
A)
\[\text{12}0\text{ }\text{ 125}\] done
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B)
\[\text{243 }-\text{ 249}\] done
clear
C)
\[\text{141}.\text{5 }-\text{ 146}.\text{5}\] done
clear
D)
\[\text{315}.\text{5 }-\text{ 32}0.\text{5}\] done
clear
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question_answer 3)
A student got marks in 5 subjects in a monthly test is given below : 2, 3, 4, 5, 6 in these obtained marks, 4 is the
A)
Mean and median done
clear
B)
Median but no mean done
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C)
Mean but no median done
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D)
Mode done
clear
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question_answer 4)
The statistical data are of two types. These types are
A)
technical data and presentation data done
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B)
primary data and secondary data done
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C)
primary data and personal data done
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D)
none of these done
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question_answer 5)
The difference between the maximum and the minimum observations in the data is
A)
class interval done
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B)
frequency done
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C)
cumulative frequency done
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D)
range done
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question_answer 6)
The number of times a particular item occurs in a class interval is called its
A)
mean done
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B)
frequency done
clear
C)
cumulative frequency done
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D)
none of these done
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question_answer 7)
If the mean of \[\text{x}\]and \[\frac{1}{x}\] is M, then the mean of \[{{\text{x}}^{3}}and\,\,\frac{1}{{{x}^{3}}}\]
A)
\[\frac{M({{M}^{2}}-3)}{2}\] done
clear
B)
\[N(4{{M}^{2}}-3)\] done
clear
C)
\[{{\text{M}}^{\text{3}}}\] done
clear
D)
\[{{\text{M}}^{\text{3}}}+\text{3}\] done
clear
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question_answer 8)
Allocations to various sectors of the yearly budget t for Rs. 1000 crore are represented by the following pie diagram. The expenditure (in rupees) on agriculture is
A)
250 crore done
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B)
150 crore done
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C)
300 crore done
clear
D)
200 crore done
clear
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question_answer 9)
The average weight of 10 men is decreased by 3 kg when one of them whose weight is 80 kg is replaced by a new person. The weight of the new person is
A)
70 done
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B)
60 done
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C)
50 done
clear
D)
73 done
clear
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question_answer 10)
The geometric mean of two numbers a and b is 8 and their harmonic mean is 6.4. The numbers are
A)
2.8 done
clear
B)
4.16 done
clear
C)
4.8 done
clear
D)
2.16 done
clear
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question_answer 11)
The mean of the following frequency distribution is
Class Interval Frequency 0 - 10 4 10 - 20 6 20 - 30 10 30 - 40 16 40 - 50 14
A)
25 done
clear
B)
35 done
clear
C)
30 done
clear
D)
31 done
clear
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question_answer 12)
What is the mode from the following table?
Marks obtained Frequency 3 7 1 11 23 15 33 8 43 3
A)
13 done
clear
B)
43 done
clear
C)
33 done
clear
D)
23 done
clear
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question_answer 13)
\[\overline{x}=a+\frac{\sum fd}{N}\]is the formula of
A)
Median done
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B)
Mode done
clear
C)
Arithmetic mean done
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D)
Mean deviation done
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question_answer 14)
The Sturges rule for determining the number of classes (n) in a frequency distribution with total frequency N is
A)
\[\text{n }=\text{ 1 }+\text{ 2}.\text{3 log N}\] done
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B)
\[\text{N }=\text{ 1 }+\text{ 3}.\text{3 log N}\] done
clear
C)
\[\text{n }=\text{ 1 }+\text{ 3}.\text{3 log N}\] done
clear
D)
\[\text{n }=\text{1}-\text{3}.\text{3 log N}\] done
clear
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question_answer 15)
If the class intervals in a frequency distribution are \[\left( \text{72}-\text{73}.\text{9} \right),\left( \text{74}-\text{75}.\text{9} \right),\left( \text{76}-\text{77}.\text{9} \right),\left( \text{78}-\text{79}.\text{9} \right)\]etc., then the mid-point of the class (74-75.9) is
A)
74.50 done
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B)
74.90 done
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C)
74.95 done
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D)
75.00 done
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question_answer 16)
The given histogram shows a frequency distribution of marks obtained by 56 students in a subject.
Number of students securing marks between 70 and 100 is
A)
2 done
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B)
4 done
clear
C)
6 done
clear
D)
8 done
clear
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question_answer 17)
What is the sum of the frequencies of the intervals 40-50 and 50-60?
A)
15 done
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B)
25 done
clear
C)
45 done
clear
D)
20 done
clear
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question_answer 18)
Mean of twenty observations is 15. If two observations 3 and 14 replaced by 8 and 9 respectively, then the new mean will be
A)
14 done
clear
B)
15 done
clear
C)
16 done
clear
D)
17 done
clear
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question_answer 19)
Factory A Factory B No. of wage earners 250 200 Average daily wage Rs. 2.00 Rs.2.50
The average of daily wages for the earners of the two factories combined is
A)
Rs. 2.12 done
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B)
Rs. 2.06 done
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C)
Rs. 2.20 done
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D)
Rs. 2.22 done
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question_answer 20)
Kavita obtained 16, 14, 18 and 20 marks (out of 25) in Maths in weekly tests in the month of Jan 2000; then mean marks of Kavita is
A)
16 done
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B)
16.5 done
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C)
17 done
clear
D)
17.5 done
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question_answer 21)
Which one of the following is not correct?
A)
statistics is liable to be misused done
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B)
the data collected by the investigator to be used by himself are called primary data done
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C)
statistical laws are exact done
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D)
statistics do not take into account of individual cases done
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question_answer 22)
The weighted arithmetic mean of the first n natural numbers whose weights are equal to the corresponding numbers is given by
A)
\[\frac{1}{2}(n+1)\] done
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B)
\[\frac{1}{2}(n+2)\] done
clear
C)
\[\frac{1}{3}(2n+1)\] done
clear
D)
\[\frac{1}{3}n(2n+1)\] done
clear
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question_answer 23)
If the mean of \[{{X}_{1}}\] and \[{{X}_{2}}\] is \[{{M}_{1}}\], and that of \[{{\text{X}}_{1}},{{\text{X}}_{2}},{{\text{X}}_{\text{3}}},{{\text{X}}_{\text{4}}}\]is \[{{M}_{2}}\], the mean of \[{{\text{X}}_{1}}\],\[\frac{{{\text{X}}_{2}}}{a}\],\[{{\text{X}}_{\text{3}}}+a\]\[{{\text{X}}_{\text{4}}}\text{- a}\] is
A)
\[{{M}_{2}}+\frac{(a-1)({{x}_{1}}-2{{M}_{1}})}{4a}\] done
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B)
\[{{M}_{1}}+\frac{(a-1){{x}_{1}}+2{{M}_{2}}}{4a}\] done
clear
C)
\[\frac{{{M}_{2}}}{4a}+(a-1){{x}_{1}}+2{{M}_{1}}\] done
clear
D)
\[\frac{{{M}_{1}}}{4a}+(a-1){{x}_{2}}+2{{M}_{2}}\] done
clear
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question_answer 24)
If the mean of x and\[\frac{1}{x}\] is M, then the mean of \[{{x}^{2}}\,\,and\,\,\frac{1}{{{x}^{2}}}\]
A)
\[{{M}^{2}}\] done
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B)
\[\frac{{{M}^{2}}}{4}\] done
clear
C)
\[2{{M}^{2}}-1\] done
clear
D)
\[2{{M}^{2}}+1\] done
clear
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question_answer 25)
The height of 30 boys of a class are given in the following table :
Height in cm Frequency 120 - 129 2 130 - 139 8 140 - 149 10 150 - 159 7 160 - 169 3
If by joining of a boy of height 140 cm, the median of the heights is changed from \[{{M}_{1}}\] to \[{{M}_{2}}\], then\[{{M}_{1}}-{{M}_{2}}\]in cm is
A)
0.1 done
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B)
-0.1 done
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C)
0 done
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D)
0.2 done
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question_answer 26)
The mean of the following natural numbers 1,2,3, ... 10 is
A)
6.5 done
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B)
4.5 done
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C)
5.5 done
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D)
5.4 done
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question_answer 27)
The marks awarded to seven students in a school admission test were :
Mathematics English A 55 35 B 45 32 C 75 44 D 15 50 E 10 45 F 40 60 G 06 40
Which subject has the better median value?
A)
Mathematics done
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B)
English done
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C)
Both [a] and [b] above done
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D)
None of the above done
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question_answer 28)
Formula to find mode is
A)
Mean - 2 Median done
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B)
3 Median - 2 Mean done
clear
C)
3 Median - Mean done
clear
D)
Mean + Median done
clear
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question_answer 29)
If (1 - 100), (101 - 200), (201 - 300), (301 - 400) (401 - 500) and (501 - 600) are the class intervals of a frequency distribution, then the true class width is
A)
99 done
clear
B)
99.5 done
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C)
100 done
clear
D)
100.5 done
clear
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question_answer 30)
The given component bar diagram shows percentage of marks obtained by a student in different subjects in a test: The height of the line AB from x-axis is
A)
21 cm approximately done
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B)
38 cm done
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C)
86 cm approximately done
clear
D)
48 cm done
clear
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question_answer 31)
A family spends Rs. 6,000 p.m. to meet the monthly expenditure. The expenditure has been shown in the given pie diagram. The miscellaneous expenditure is
A)
Rs. 2,000 done
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B)
Rs. 1,500 done
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C)
Rs. 1,200 done
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D)
Rs.3,000 done
clear
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question_answer 32)
When 10 is subtracted from all the observations, the mean is reduced to 60% of its value. If 5 is added to all the observations, then the mean will be
A)
25 done
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B)
30 done
clear
C)
60 done
clear
D)
65 done
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question_answer 33)
Average scores of fifty students in a class is 44. Later on it was found that a score 23 was incorrectly recorded as 73. The correct average score is
A)
42 done
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B)
43 done
clear
C)
45 done
clear
D)
44 done
clear
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question_answer 34)
an examination, a candidate scores the following percentage of marks : English ? 44; Hindi ? 58; Maths ? 74; physics ? 61; Chemistry ? 62. If weights 2,4, 4, 5, 3 respectively allotted to these subjects, then the candidate's weighted mean percentage is
A)
61 done
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B)
61.5 done
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C)
62 done
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D)
62.5 done
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question_answer 35)
HI. If the standard deviation for the marks obtained r by a student in monthly tests is 36 then the variance is
A)
6 done
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B)
36 done
clear
C)
1296 done
clear
D)
None of these done
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question_answer 36)
The mean of the ungrouped data is given by
A)
\[\text{Mean}=\frac{\sum xi}{\Sigma f}\] done
clear
B)
\[\text{Mean}=\frac{\sum x}{n}\] done
clear
C)
\[\text{Mean}=\frac{\sum fx}{\Sigma n}\] done
clear
D)
\[\text{Mean}=a+\frac{\sum fx}{n}\] done
clear
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question_answer 37)
A variable x takes the values 0, 1, 2, ...n with frequencies proportional to\[qn\,,\,n{{C}_{1}}.q{{n}^{-1}}.p\], \[n{{C}_{2}}\,qn{{~}^{-2}}.{{p}^{2}}....\]respectively and \[\text{p }+\text{ q }=\text{ 1};\]then the mean is
A)
\[\left( \text{n}+\text{q} \right)\text{p}\] done
clear
B)
\[\left( \text{n}+\text{p} \right)\text{n}\] done
clear
C)
np done
clear
D)
\[\text{n}+\text{pq}\] done
clear
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question_answer 38)
Class intervals in a frequency distribution are (3 - 6), (7 - 10), (11 - 14), (15 - 18) etc. The actual upper limit of the class interval (7 - 10) is
A)
\[10+\frac{1}{2}(11-10)\] done
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B)
\[10-\frac{1}{2}(11-10)\] done
clear
C)
\[10+\frac{1}{2}(11+10)\] done
clear
D)
\[10-\frac{1}{2}(11+10)\] done
clear
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question_answer 39)
The given graph shows the petrol consumption of a country in millions of tons from 1952 to 1962. The approximate percentage increase on the 1952 figure over the next ten years will be
A)
25% done
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B)
40% done
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C)
60% done
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D)
85% done
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question_answer 40)
The age-specific death rates for a town are given in the following table :
Age group (Years) Specific death rate 0 - 1 85 1 - 5 46 5 - 15 20 15 - 25 12 25 - 40 18 40 - 50 24 50 - 60 33 60 - 75 40 75 and above 76
The curve drawn between ages and specific death rates will be
A)
an increasing curve done
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B)
bell-shaped curve done
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C)
J-shaped curve done
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D)
U-shaped curve done
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question_answer 41)
If \[{{f}_{1}}\] is the frequency of the variable xi and \[\overline{x}\] is the arithmetic mean, then always
A)
\[\sum\limits_{i=1}^{{}}{{{f}_{i}}({{x}_{i}}+\overline{x})=0}\] done
clear
B)
\[\sum\limits_{i=1}^{{}}{{{f}_{i}}({{x}_{i}}-\overline{x})=0}\] done
clear
C)
\[\sum\limits_{i=1}^{n}{{{f}_{i}}{{({{x}_{i}}+\overline{x})}^{2}}=0}\] done
clear
D)
\[\sum\limits_{i=1}^{n}{{{f}_{i}}{{({{x}_{i}}-\overline{x})}^{2}}=0}\] done
clear
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question_answer 42)
The mean yearly salary of an employee of a company was Rs. 20,000. If the mean yearly salaries of male and female employees were Rs. 20800 and Rs. 16800 respectively, then the percentages of males and females employed by the company are respectively.
A)
80% and 20% done
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B)
70% and 30% done
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C)
55% and 45% done
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D)
50% and 50% done
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question_answer 43)
If the arithmetic mean of n numbers of a series is \[\overline{x}\] and sum of the first (n-1) numbers is k, then which one of the following is the nth number of the series?
A)
\[\overline{x}-nk\] done
clear
B)
\[n\overline{x}-k\] done
clear
C)
\[k\overline{x}-n\] done
clear
D)
\[nk\overline{x}\] done
clear
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question_answer 44)
The average monthly income of a four members of a family is Rs. 610.25, after the marriage of one girl the average income of the family becomes Rs. 650.75, then the salary of married girl is
A)
Rs. 488.25 done
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B)
Rs. 488.75 done
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C)
Rs. 479.75 done
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D)
Rs. 489.25 done
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question_answer 45)
The mean of \[{{x}_{1}}\] and \[{{x}_{2}}\] is\[{{M}_{1}}\] and that of \[{{X}_{1}},{{X}_{2}},{{X}_{3}}....\,{{X}_{4}}\]is \[{{M}_{2}}\], then the mean of \[a{{X}_{1}},a{{X}_{2}},\frac{{{x}_{3}}}{a},\frac{{{x}_{4}}}{a}\]is
A)
\[\frac{{{M}_{1}}+{{M}_{2}}}{2}\] done
clear
B)
\[\frac{a{{M}_{1}}+\left( \frac{{{M}_{2}}}{a} \right)}{2}\] done
clear
C)
\[\frac{1}{2a}[({{a}^{2}}-1){{M}_{1}}+2{{M}_{2}}]\] done
clear
D)
\[\frac{1}{2a}[2({{a}^{2}}-1){{M}_{1}}+{{M}_{2}}]\] done
clear
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question_answer 46)
The median of 3, 5, 6, x, 9, 15 is 7. The value of x is
A)
7 done
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B)
4 done
clear
C)
8 done
clear
D)
none of these done
clear
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question_answer 47)
The numbers 4, 6 and 8 are the frequencies (x + 2), x and (x - 1) and if their arithmetic mean is 8, the value of x is
A)
7 done
clear
B)
6 done
clear
C)
9 done
clear
D)
8 done
clear
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question_answer 48)
The following table gives the frequency distribution of marks obtained by a batch of 20 students
Marks 5 15 25 35 45 No. of students 5 4 6 3 2
In this table the cumulative frequency of 45 is
A)
18 done
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B)
12 done
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C)
20 done
clear
D)
8 done
clear
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question_answer 49)
If the standard deviation of 5, 7, 9 and 11 is 2, then coefficient of variation is
A)
15 done
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B)
25 done
clear
C)
17 done
clear
D)
19 done
clear
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question_answer 50)
An orderly distribution of the raw data into certain specified categories is known as
A)
Frequency distribution done
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B)
Frequency done
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C)
Cumulative frequency done
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D)
Primary data done
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question_answer 51)
The mean of \[{{X}_{1}},{{X}_{2}},...{{X}_{50}}\]is M, if every xi i = 1, 2 ... 50 is replaced by \[\frac{{{x}_{i}}}{50}\] then the mean is
A)
\[M\] done
clear
B)
\[M+\frac{1}{50}\] done
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C)
\[\frac{50}{M}\] done
clear
D)
\[\frac{M}{50}\] done
clear
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question_answer 52)
If the first five elements of the set xi + 5 \[\text{i }=\text{ 1},\text{ 2},\text{ 3},\text{ }....\text{5}\]and the next five elements are replaced by \[\text{xj}-\text{5},\text{ j}=\text{6 }....\text{ 1}0\]then the mean will change by
A)
0 done
clear
B)
5 done
clear
C)
10 done
clear
D)
25 done
clear
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question_answer 53)
The mean of the cubes of the first n natural numbers is
A)
\[\frac{n{{(n+1)}^{2}}}{2}\] done
clear
B)
\[\frac{n{{(n+1)}^{2}}}{4}\] done
clear
C)
\[\frac{n(n+1)(n+2)}{8}\] done
clear
D)
\[{{n}^{2}}+n+1\] done
clear
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question_answer 54)
If \[M=\frac{{{x}_{1}}+{{x}_{2}}+.....+{{x}_{20}}}{20}\], then the value of\[\sum\limits_{i=1}^{20}{\frac{({{x}_{1}}-M)}{20}}\]is
A)
\[\frac{19M}{20}\] done
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B)
1 done
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C)
0 done
clear
D)
\[\frac{1}{20}\] done
clear
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question_answer 55)
The class mid-points in a frequency distribution table are 125, 132, 139, 146 and 153. The class boundaries of the last class are
A)
\[\text{135}.\text{5}-\text{142}.\text{5}\] done
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B)
\[\text{136}-\text{143}\] done
clear
C)
\[\text{149}.\text{5}-\text{156}.\text{5}\] done
clear
D)
\[\text{15}0-\text{157}\] done
clear
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question_answer 56)
The frequency distribution of monthly salaries of 500 workers in a factory is given below :
Wages (Rs.) No. of workers 0 - 49 90 50 - 99 150 100 - 149 100 150 - 199 80 200 - 249 70 250or more 10
It is proposed to give an in term relief per month at the rate of 10% of the lower boundary of each class interval or Rs. 10, whichever is more. Then the financial burden (in Rs.) on the part of the factory owner is
A)
4100 done
clear
B)
4600 done
clear
C)
5500 done
clear
D)
6250 done
clear
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question_answer 57)
Annual Develop in net Expenditure of a state under different heads is as follows :
Agriculture 40% Education 35% Industry 15% Misc. 10%
Which one of the following charts represents this information?
A)
B)
C)
D)
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question_answer 58)
The arithmetic mean of n numbers is x. If the sum of the first (n -1) numbers is k, then the nth number is
A)
\[n\overline{x}+k\] done
clear
B)
\[n\overline{x}-k\] done
clear
C)
\[X-\frac{k}{n}\] done
clear
D)
\[\overline{x}+\frac{k}{n}\] done
clear
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question_answer 59)
The mean of the first n natural numbers is
A)
\[\frac{n}{2}\] done
clear
B)
\[\frac{n+1}{2}\] done
clear
C)
\[\frac{n}{2}+1\] done
clear
D)
\[\frac{{{n}^{2}}+n+1}{n}\] done
clear
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question_answer 60)
The mean of the squares of the first n natural numbers is
A)
\[{{n}^{2}}+1\] done
clear
B)
\[\frac{{{n}^{4}}+1}{n}\] done
clear
C)
\[\frac{(n+1)(2n+1)}{6}\] done
clear
D)
\[\frac{(n+1)(n+2)}{m}\] done
clear
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question_answer 61)
A school has 20 teachers, one of them retires at the age of 60 years and a new teacher replaces him, this change reduces the average age of the staff by 2 years, the age of new teacher is
A)
28 years done
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B)
25 years done
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C)
20 years done
clear
D)
18 years done
clear
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question_answer 62)
Which one of the following definitions is for frequency curve?
A)
The polygon formed by joining the middle points of the tops of bars of the histogram done
clear
B)
A special type of bar graph to represent a frequency distribution. Here the bars are drawn adjacent to each other, class intervals are represented on the horizotnal axis and frequency on the vertical axis. done
clear
C)
If the class intervals are plotted on the horizontal axis and the cumulative frequencies on the vertical axis against the upper class boundaries then the free hand curve through the points so plotted. done
clear
D)
The curve formed by joining the middle points of the tops of bars of the histogram. done
clear
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question_answer 63)
For a given distribution, the arithmetic mean is 10 and the standard deviation is 8. The coefficient of dispersion is given as
A)
8 done
clear
B)
80 done
clear
C)
8 done
clear
D)
1.25 done
clear
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question_answer 64)
The mean of the following distribution is
Class Frequency 0 - 5 4 5 - 10 5 10 - 15 7 15 - 20 12 20 - 25 7 25 - 30 5
A)
15 done
clear
B)
16 done
clear
C)
17 done
clear
D)
18 done
clear
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question_answer 65)
The ages (in years) of a family of 6 members are 1, 5, 12, 15, 38 and 40. The standard deviation is found to be 15.9. After 10 years the standard deviation is
A)
Increased done
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B)
Decreased done
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C)
Remains same done
clear
D)
None of these done
clear
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question_answer 66)
The arithmetic mean of the set of variable \[\text{a},\text{a}+\text{d},\text{a}+\text{2d},\text{a}+\text{3d}...\text{ a}+\text{2nd}\]is
A)
\[\text{a}+\text{nd}\] done
clear
B)
\[\text{a}-\text{nd}\] done
clear
C)
\[\left( \text{a}+\text{n} \right)\text{d}\] done
clear
D)
\[~\text{ad}+\text{n}\] done
clear
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question_answer 67)
In tossing a coin, the chance of throwing head and tail alternatively in 3 successive trials is
A)
\[\frac{1}{8}\] done
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B)
\[\frac{1}{6}\] done
clear
C)
\[\frac{1}{5}\] done
clear
D)
\[\frac{1}{4}\] done
clear
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question_answer 68)
The mean of first odd n natural numbers is
A)
n done
clear
B)
2n done
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C)
n + 2 done
clear
D)
\[\frac{n}{2}\] done
clear
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question_answer 69)
The following numbers are given 61, 62, 63, 61, 63,64, 64, 60, 6^, 63, 64, 65, 66, 64. The, difference between their mean and median is
A)
0.4 done
clear
B)
0.3 done
clear
C)
0.2 done
clear
D)
0.1 done
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question_answer 70)
Arithmetic mean for the given data is
Marks
No. of I students
0 - 10
5
10 - 20
10
20 - 30
25
30 - 40
30
40 - 50
20
50 - 60
10
A)
55 done
clear
B)
35 done
clear
C)
33 done
clear
D)
2 done
clear
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question_answer 71)
The value of \[\sum\limits_{i=1}^{n}{({{x}_{i}}-\overline{x})}\], where \[\overline{x}\] is the arithmetic mean of \[{{x}_{i}}\] is
A)
1 done
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B)
0 done
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C)
\[n\overline{x}\] done
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D)
None of these done
clear
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question_answer 72)
The average of 15 numbers is 18. The average of first 8 is 19 and that last 8 is 17, then the 8th number is
A)
15 done
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B)
16 done
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C)
18 done
clear
D)
20 done
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question_answer 73)
The attendance of a class of 45 boys for 10 days given as 40, 42, 30, 35, 45, 44, 41, 38, 44 and 4? then the mean attendance of a class is
A)
39 done
clear
B)
40 done
clear
C)
41 done
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D)
43 done
clear
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question_answer 74)
The mean of n numbers\[{{x}_{1}},{{x}_{2}}....\,xn\]is M. 'If \[{{X}_{1}}\] is replaced by \[X',\] then the new mean is
A)
\[M-{{X}_{1}}+X'\] done
clear
B)
\[\frac{(n-1)M+x'}{n}\] done
clear
C)
\[\frac{nM-{{x}_{1}}+x'}{n}\] done
clear
D)
\[\frac{M-{{x}_{1}}+x'}{n}\] done
clear
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question_answer 75)
Which one of the following statements is correct?
A)
The standard deviation for a given distribution is the sqtiare of the variance. done
clear
B)
The standard deviation for a given distribution is the square root of the variance. done
clear
C)
The standard deviation for a given distribution is equal to the variance. done
clear
D)
The standard deviation for a given distribution is half of the variance. done
clear
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question_answer 76)
A candidate obtained the following percentage of marks in an examination English 60, Maths 90, Physics 75, Chemistry 66. If weights 2, 4, 3,3 are allotted to these subjects respectively, then the weight mean is given by
A)
\[\frac{\text{6}0+\text{9}0+\text{75}+\text{66}}{\text{2}+\text{4}+\text{3}+\text{3}}\] done
clear
B)
\[\frac{\text{6}0\times \text{2}+\text{9}0\times \text{4}+\text{75}\times \text{3}+\text{66}\times \text{3}}{\text{2}+\text{4}+\text{3}+\text{3}}\] done
clear
C)
\[\frac{\text{6}0\times \text{2}+\text{9}0\times \text{4}+\text{75}\times \text{3}+\text{66}\times \text{3}}{4}\] done
clear
D)
\[\frac{\text{6}0+\text{9}0+\text{75}+\text{66}}{4}\] done
clear
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question_answer 77)
A student obtained the following marks percentage in an examination : English - 50, Accounts - 75, Economics - 60, B. Std. - 80, Hindi - 55. If weights are 2, 3, 3, 2, 1 respectively allotted to the subjects, his weighted mean is
A)
\[\frac{\text{5}0+\text{75}+\text{6}0+\text{8}0+\text{55}}{\text{2}+\text{3}+\text{3}+\text{2}+\text{1}}\] done
clear
B)
\[\frac{~\left( \text{5}0\times \text{2} \right)+\left( \text{75}\times \text{3} \right)+\left( \text{6}0\times \text{3} \right)+\left( \text{8}0\times \text{2} \right)+\left( \text{55}\times \text{1} \right)}{5}\] done
clear
C)
\[\frac{\text{5}0\times \text{2}+\text{75}\times \text{3}+\text{6}0\times \text{3}+\text{8}0\times \text{2}+\text{55}\times \text{1}}{\text{2}+\text{3}+\text{3}+\text{2}+\text{1}}\] done
clear
D)
none done
clear
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question_answer 78)
The geometric mean of 2, 6, 8, 24 is
A)
\[\sqrt{48}=4\sqrt{8}\] done
clear
B)
16 done
clear
C)
24 done
clear
D)
36 done
clear
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question_answer 79)
In an examination, 10 students scored the following marks in Mathematics 35, 19, 28, 32, 63, 02, 47, 31, 13, 98. Its range is
A)
2 done
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B)
96 done
clear
C)
98 done
clear
D)
50 done
clear
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question_answer 80)
What is the mean of the following frequency distribution?
A)
\[\frac{\text{1}0\times \text{7}\times \text{4}0\times \text{36}\times \text{36}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\] done
clear
B)
\[\frac{\text{5}+\text{7}+\text{8}+\text{9}+\text{12}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\] done
clear
C)
\[\frac{\left( \text{5}+\text{7}+\text{8}+\text{9}+\text{12} \right)-\left( \text{2}+\text{1}+\text{5}+\text{4}+\text{3} \right)}{\left( \text{5}+\text{7}+\text{8}+\text{9}+\text{12} \right)+\left( \text{2}+\text{1}+\text{5}+\text{4}+\text{3} \right)}\] done
clear
D)
\[\frac{\text{5}\times \text{2}+\text{7}\times \text{1}+\text{8}\times \text{5}+\text{9}\times \text{4}+\text{12}\times \text{3}}{\text{2}+\text{1}+\text{5}+\text{4}+\text{3}}\] done
clear
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question_answer 81)
A contractor employed 18 labourers at Rs. 12 per day, 10 labourers at Rs. 13.50 per day, 5 labourers at Rs. 25 per day and 2 labourers at Rs. 42 per day. The average wage of a labourer per day is
A)
Rs. 16 done
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B)
Rs. 20 done
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C)
Rs. 24 done
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D)
Rs. 28 done
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question_answer 82)
In a class test in English 10 students scored 75 marks, 12 students scored 60 marks, 8 scored 40 marks and 3 scored 30 marks, the mode for their score is
A)
75 done
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B)
30 done
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C)
60 done
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D)
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question_answer 83)
Which class-interval has the minimum frequency?
A)
20-30 done
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B)
40-50 done
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C)
50-60 done
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D)
10-20 done
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question_answer 84)
What is frequency of the class-interval 20-30?
A)
25 done
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B)
20 done
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C)
5 done
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D)
10 done
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question_answer 85)
How many class-intervals have equal frequency?
A)
2 done
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B)
3 done
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C)
1 done
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D)
None done
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question_answer 86)
What is the cumulative frequency of the interval 40-50?
A)
70 done
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B)
60 done
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C)
50 done
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D)
80 done
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question_answer 87)
What is the difference of frequencies of the intervals 30-40 and 40-50?
A)
5 done
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B)
20 done
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C)
15 done
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D)
25 done
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question_answer 88)
Which class-interval has the maximum frequency?
A)
0-10 done
clear
B)
30-40 done
clear
C)
10-20 done
clear
D)
40-50 done
clear
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