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question_answer1)
In a frequency distribution, the mid value of a class is 15 the width of the class is 4. The lower limit of the class is _______
A)
11 done
clear
B)
10 done
clear
C)
8 done
clear
D)
13 done
clear
E)
None of these done
clear
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question_answer2)
The width of each of 8 continuous classes in a frequency distribution is 7 and the higher class-limit of the lowest class 18. The lower limit of the highest class is ________
A)
58 done
clear
B)
60 done
clear
C)
62 done
clear
D)
65 done
clear
E)
None of these done
clear
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question_answer3)
Which one among the following statements is/ are correct?
A)
The range of the data 7, 1, 3, 8, 9, 13, 18, 19, 4, 3 is 17. done
clear
B)
In the class interval 12-17, 17-22, 22-27, the number 22 is not included in 17-22. done
clear
C)
Class size is the difference between the upper and lower class limits. done
clear
D)
All the above done
clear
E)
None of these done
clear
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question_answer4)
Let \[\left( \mathbf{k}-\mathbf{1} \right)\] be the mid-point and 'm' be the lower class limit of a class in a continuous frequency distribution. The upper class-limit of the class is ___________
A)
\[\left( k-1 \right)-m\] done
clear
B)
\[\left( k-1 \right)+m\] done
clear
C)
\[2\left( k-1 \right)-m\] done
clear
D)
\[2\left( k+1 \right)-m\] done
clear
E)
None of these done
clear
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question_answer5)
If each observation of the data is decreased by 10, then their mean ________
A)
remains the same done
clear
B)
becomes 10 times the original mean done
clear
C)
is increased by 10 done
clear
D)
is decreased by 10 done
clear
E)
None of these done
clear
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question_answer6)
The class marks of frequency distribution are given as follows: 12, 18, 24, __________ The class corresponding to the class mark 24 is ________
A)
22\[-\]26 done
clear
B)
20\[-\]28 done
clear
C)
21\[-\]27 done
clear
D)
21\[-\]28 done
clear
E)
None of these done
clear
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question_answer7)
If \[\overline{\mathbf{x}}\] is the arithmetic mean of n observations \[{{\mathbf{x}}_{\mathbf{1}}},\text{ }{{\mathbf{x}}_{\mathbf{2}}},\text{ }{{\mathbf{x}}_{\mathbf{3}}},\text{ }\ldots \ldots \ldots .,\text{ }{{\mathbf{x}}_{\mathbf{n}}},\]then ________
A)
\[\sum\limits_{i=1}^{n}{({{x}_{n}}-\overline{x})}=0\] done
clear
B)
\[\sum\limits_{i=1}^{n}{({{x}_{n}}-\overline{x})}=1\] done
clear
C)
\[\overline{x}=\frac{({{x}_{1}}+{{x}_{2}}+{{x}_{3}}+.....+{{x}_{n}})}{n}\] done
clear
D)
both A and C are correct done
clear
E)
None of these done
clear
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question_answer8)
The difference of the mean of first five prime numbers to the mean of first 5 multiple of 3 is ________
A)
9 done
clear
B)
5.6 done
clear
C)
2.8 done
clear
D)
3.4 done
clear
E)
None of these done
clear
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question_answer9)
The mean of 18 items was found to be 25. On rechecking it was found that two items were wrongly taken as 23 and 20 instead of 26 and 30 respectively. The correct mean is _____
A)
25.60 done
clear
B)
25.32 done
clear
C)
25.72 done
clear
D)
25.52 done
clear
E)
None of these done
clear
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question_answer10)
If 8 be the mean of the observations \[\mathbf{x-13, x + 5, x + 9, x + 14, x + 15}\]then find the mean of the last four observations.
A)
12 done
clear
B)
12.75 done
clear
C)
11.75 done
clear
D)
13 done
clear
E)
None of these done
clear
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question_answer11)
If a be the mean of \[{{\mathbf{x}}_{\mathbf{1}}},\text{ }{{\mathbf{x}}_{\mathbf{2}}},\text{ }{{\mathbf{x}}_{\mathbf{3}}},\text{ }.........\text{ }{{\mathbf{x}}_{\mathbf{n}}},\]and \[\overline{b}\] be the mean of \[{{\mathbf{y}}_{\mathbf{1}}},\text{ }{{\mathbf{y}}_{\mathbf{2}}},\text{ }{{\mathbf{y}}_{\mathbf{3}}},\text{ }........~\]If \[\overline{c}\] is the mean of \[{{\mathbf{x}}_{\mathbf{1}}},\text{ }{{\mathbf{x}}_{\mathbf{2}}},\text{ }{{\mathbf{x}}_{\mathbf{3}}},......,\text{ }{{\mathbf{x}}_{\mathbf{n}}},\text{ }{{\mathbf{y}}_{\mathbf{1}}},\text{ }{{\mathbf{y}}_{\mathbf{2}}},.......\text{ }{{\mathbf{y}}_{\mathbf{n}}},\]then \[\overline{c}\] is equal to
A)
\[\frac{\overline{a}-\overline{b}}{2}\] done
clear
B)
\[\overline{\text{a}}\text{+}\overline{\text{b}}\] done
clear
C)
\[\frac{\overline{a}+\overline{b}}{2}\] done
clear
D)
\[\frac{\overline{a}+\overline{b}}{n}\] done
clear
E)
None of these done
clear
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question_answer12)
If the mean of 29 observation is 35. Out of these observations, If the mean of first 15 observation is 30 and that of last 15 observation 38, the 15th observation is:
A)
15 done
clear
B)
18 done
clear
C)
8 done
clear
D)
5 done
clear
E)
None of these done
clear
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question_answer13)
Two coins are tossed 500 times the outcomes are recorded as below: |
No. of tails | 0 | 1 | 2 |
Frequency | 120 | 175 | 205 |
Based on this information, the probability for at least 1 tail is _________ |
A)
\[\frac{1}{25}\] done
clear
B)
\[\frac{17}{25}\] done
clear
C)
\[\frac{18}{25}\] done
clear
D)
\[\frac{19}{25}\] done
clear
E)
None of these done
clear
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question_answer14)
If \[{{\mathbf{x}}_{\mathbf{1}}},\text{ }{{\mathbf{x}}_{\mathbf{2}}},\text{ }\ldots \ldots \ldots ,\text{ }{{\mathbf{x}}_{\mathbf{n}}}\]are n values of variables X such that \[\sum\limits_{\mathbf{i=1}}^{\mathbf{k}}{\mathbf{(}{{\mathbf{x}}_{\mathbf{i}}}\mathbf{-3)}}\mathbf{=135}\] and \[\sum\limits_{\mathbf{i=1}}^{\mathbf{k}}{\mathbf{(}{{\mathbf{x}}_{\mathbf{i}}}\mathbf{-6)}}\mathbf{=60}\]Then the value of mean is ________
A)
7.4 done
clear
B)
9.2 done
clear
C)
8.4 done
clear
D)
8.6 done
clear
E)
None of these done
clear
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question_answer15)
Find the value of \[3{{f}_{1}}-{{f}_{2}}\] if mean for the following frequency distribution is 1.46. |
Variable | 0 | 1 | 2 | 3 | 4 | 5 | Total |
Frequency | 46 | 76 | 38 | f1 | 10 | f2 | 200 |
A)
60 done
clear
B)
70 done
clear
C)
80 done
clear
D)
65 done
clear
E)
None of these done
clear
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question_answer16)
The median of the data when mean and mode are respectively 45 and 36 is
A)
38 done
clear
B)
42 done
clear
C)
49 done
clear
D)
39 done
clear
E)
None of these done
clear
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question_answer17)
The mean of a set of 15 observations is 18 and another set of 21 observation is 19, The mean of the combined set is _________
A)
16.38 done
clear
B)
17.48 done
clear
C)
18.58 done
clear
D)
19.68 done
clear
E)
None of these done
clear
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question_answer18)
If mode of the observations 7, 3, 5, 8, 3, 3, 5, 6, 9, 7, x, 8, 8, 5 and 4 is 5 the median of the observations is _____
A)
3.5 done
clear
B)
5 done
clear
C)
5.5 done
clear
D)
6 done
clear
E)
None of these done
clear
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question_answer19)
Consider the following data: \[\mathbf{4}\frac{\mathbf{3}}{\mathbf{5}}\], \[\mathbf{4}\frac{\mathbf{5}}{\mathbf{7}}\], \[\mathbf{4}\frac{\mathbf{3}}{\mathbf{6}}\], \[\mathbf{4}\frac{\mathbf{1}}{\mathbf{3}}\], \[\mathbf{4}\frac{\mathbf{1}}{\mathbf{3}}\] and \[\mathbf{4}\frac{\mathbf{1}}{\mathbf{3}}\]Based on the above data, which one among the following is correct?
A)
Mean = 4.49 done
clear
B)
Median = 4.45 done
clear
C)
Median = 4.5 done
clear
D)
Both A and B done
clear
E)
None of these done
clear
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question_answer20)
The semi interquartile range of the observations 5, 7, 10, 9, 6, 8, 11, 18, 17, 16 is __________
A)
1.5 done
clear
B)
2.5 done
clear
C)
3.5 done
clear
D)
4.5 done
clear
E)
None of these done
clear
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question_answer21)
For the observations 21, 5, 8, 15, 52, 68, 45, x, 48, y, 18, 9. Which of the following will not change? (Where x lies between 20 and 30 and y lies between 30 and 40) |
Quartile deviation. Mean, Median, Range |
A)
Quartile deviation done
clear
B)
Mean done
clear
C)
Median done
clear
D)
Range done
clear
E)
None of these done
clear
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question_answer22)
If the ratio of mean and median for some observations is 8 : 11, then for same observations, the ratio of mode and mean is _________
A)
17 : 8 done
clear
B)
17 : 16 done
clear
C)
8 : 33 done
clear
D)
18 : 33 done
clear
E)
None of these done
clear
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question_answer23)
The mean deviation for the following data about median is ________. |
Class Interval | 15-19 | 20-24 | 25-29 | 30-34 | 35-39 |
Frequency | 16 | 8 | 10 | 12 | 4 |
A)
11.04 done
clear
B)
13.08 done
clear
C)
10.02 done
clear
D)
12.98 done
clear
E)
None of these done
clear
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question_answer24)
If a < b < 2a and median and of a, b and 2a are p respectively, then the mean of a and b is ________
A)
3q+2p done
clear
B)
\[\frac{3q+2p}{6}\] done
clear
C)
\[\frac{3q+2p}{3}\] done
clear
D)
\[\frac{3p+2q}{6}\] done
clear
E)
None of these done
clear
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question_answer25)
The probability that a non-leap year has exactly 53 Tuesdays is ________
A)
\[\frac{2}{7}\] done
clear
B)
\[\frac{1}{7}\] done
clear
C)
\[\frac{3}{7}\] done
clear
D)
\[\frac{1}{6}\] done
clear
E)
None of these done
clear
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question_answer26)
The following observations are arranged in ascending order: 36, 39, 45, 48, x, x + 4, 57, 62, 65, 68 If the median is 54, then the mean of the observations is
A)
52.8 done
clear
B)
50.6 done
clear
C)
51.8 done
clear
D)
531.8 done
clear
E)
None of these done
clear
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question_answer27)
In a medical examination of students of a class, the following blood groups are recorded: |
Blood group | A | B | O | AB |
No. of students | 35 | 28 | 19 | 13 |
A student is selected at random from the class. The probability that he/ she has blood group other than ?O? is _______ |
A)
\[\frac{1}{5}\] done
clear
B)
\[\frac{7}{19}\] done
clear
C)
\[\frac{13}{95}\] done
clear
D)
\[\frac{4}{5}\] done
clear
E)
None of these done
clear
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question_answer28)
Distance: Consider the mortality table given below: |
Age (in years) |
Number of persons surviving out of a sample of one million |
60 |
17384 |
61 |
12560 |
62 |
9008 |
63 |
5980 |
64 |
4050 |
65 |
2730 |
Based on above information answer the following questions: |
The probability that a person 'aged 61' will die within a year is ________ |
A)
\[\frac{9008}{12560}\] done
clear
B)
\[\frac{222}{785}\] done
clear
C)
\[\frac{9008}{17384}\] done
clear
D)
\[\frac{3552}{9008}\] done
clear
E)
None of these done
clear
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question_answer29)
Distance: Consider the mortality table given below: |
Age (in years) |
Number of persons surviving out of a sample of one million |
60 |
17384 |
61 |
12560 |
62 |
9008 |
63 |
5980 |
64 |
4050 |
65 |
2730 |
The probability that a person 'aged 62' will live for 3 years is ________
A)
\[\frac{1365}{4504}\] done
clear
B)
\[\frac{6278}{2730}\] done
clear
C)
\[\frac{2730}{6278}\] done
clear
D)
\[\frac{1}{4}\] done
clear
E)
None of these done
clear
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question_answer30)
Distance: Consider the mortality table given below: |
Age (in years) |
Number of persons surviving out of a sample of one million |
60 |
17384 |
61 |
12560 |
62 |
9008 |
63 |
5980 |
64 |
4050 |
65 |
2730 |
In the given table, probability for an event is \[\mathbf{P=}\frac{\mathbf{14656}}{\mathbf{17384}}\], then P should be the probability that a person
A)
'aged 60' will die within two years. done
clear
B)
'aged 65' will die within a year. done
clear
C)
'aged 62' will die within 3 years. done
clear
D)
'aged 60' will die within 5 years. done
clear
E)
None of these done
clear
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question_answer31)
Directions: Ages of employers in an organization is distributed as follows: |
Age (in years) | 20-29 | 30-39 | 40-49 | 50-59 | 60 & above |
No. of workers | 42 | 28 | 14 | 8 | 4 |
If a person is chosen at random, the probability that the person is under 50 years.
A)
\[\frac{1}{8}\] done
clear
B)
\[\frac{3}{5}\] done
clear
C)
\[\frac{7}{8}\] done
clear
D)
\[\frac{4}{7}\] done
clear
E)
None of these done
clear
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question_answer32)
Directions: Ages of employers in an organization is distributed as follows: |
Age (in years) | 20-29 | 30-39 | 40-49 | 50-59 | 60 & above |
No. of workers | 42 | 28 | 14 | 8 | 4 |
Find the probability that the person is under 40 but over 19 years.
A)
\[\frac{5}{8}\] done
clear
B)
\[\frac{35}{48}\] done
clear
C)
\[\frac{35}{96}\] done
clear
D)
\[\frac{48}{92}\] done
clear
E)
None of these done
clear
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question_answer33)
Directions: Ages of employers in an organization is distributed as follows: |
Age (in years) | 20-29 | 30-39 | 40-49 | 50-59 | 60 & above |
No. of workers | 42 | 28 | 14 | 8 | 4 |
Find the probability that the person is more than 29 years.
A)
\[\frac{8}{9}\] done
clear
B)
\[\frac{9}{14}\] done
clear
C)
\[\frac{1}{16}\] done
clear
D)
\[\frac{9}{16}\] done
clear
E)
None of these done
clear
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question_answer34)
Following are the marks obtained (Out of 50) by the students in a class. |
Marks | No. of Students |
10-20 | 8 |
20-30 | X |
30-40 | 9 |
40-50 | 6 |
One student from the class is selected at random. If the, probability that his marks is 20 or more but less than 40, is \[\frac{\mathbf{5}}{\mathbf{7}}\], then find the value of x. |
A)
13 done
clear
B)
18 done
clear
C)
6 done
clear
D)
26 done
clear
E)
None of these done
clear
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question_answer35)
In a game of shooting if a person hits a target 7 times and missed it by 28 times then probability that he missed the target is _________
A)
\[\frac{1}{5}\] done
clear
B)
\[\frac{4}{5}\] done
clear
C)
\[\frac{1}{4}\] done
clear
D)
\[\frac{2}{5}\] done
clear
E)
None of these done
clear
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question_answer36)
A bag contains x white balls, 15 red balls and y black balls. A ball is drawn at random from the bag. If the probability that the drawn ball is white, is \[\frac{\mathbf{4}}{\mathbf{15}}\] and the probability that the drawn ball is red, is \[\frac{\mathbf{1}}{\mathbf{3}}\], then the values of x and y are respectively _________
A)
18, 12 done
clear
B)
12, 18 done
clear
C)
14, 16 done
clear
D)
16, 14 done
clear
E)
None of these done
clear
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question_answer37)
The mean marks (out of 100) of boys and girls in an examination are 64 and 80 respectively. If the mean marks of all the students in that examination is 73, then the ratio of the number of girls to the number of boys is ________
A)
8 : 9 done
clear
B)
9 : 7 done
clear
C)
4 : 1 done
clear
D)
3 : 5 done
clear
E)
None of these done
clear
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question_answer38)
The mean of the following distribution is 44.35 |
x | F |
10 | 18 |
25 | a-3 |
40 | 27 |
55 | a-6 |
70 | 34 |
The value of a is _______ |
A)
12 done
clear
B)
9 done
clear
C)
15 done
clear
D)
18 done
clear
E)
None of these done
clear
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question_answer39)
The frequency distribution of the marks obtained by 56 students in a test carrying 50 marks is given below: |
Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
No. of students | 7 | 14 | 13 | 12 | 10 |
Find the mode of the data. |
A)
18.25 done
clear
B)
19.65 done
clear
C)
18.75 done
clear
D)
20.25 done
clear
E)
None of these done
clear
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question_answer40)
One card is selected from a well shuffled deck of cards. The probability that it is a red jack is ________
A)
\[\frac{2}{13}\text{ }\] done
clear
B)
\[\frac{1}{52}\text{ }\] done
clear
C)
\[\frac{1}{26}\text{ }\] done
clear
D)
\[\frac{1}{13}\text{ }\] done
clear
E)
None of these done
clear
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