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question_answer1)
If the mean of 6, y, 7, 14 and\[x\]is 8. Then, the value of \[x+y\]is ____.
A)
13 done
clear
B)
12 done
clear
C)
10 done
clear
D)
15 done
clear
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question_answer2)
If the mode of the data 4, 3, 2, 5,\[x\], 4, 5, 1, 7, 3, 2, 1 is 4, then value of \[x\] is ____.
A)
4 done
clear
B)
3 done
clear
C)
2 done
clear
D)
1 done
clear
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question_answer3)
The mean of 13 observations is 14. If the mean of the first 7 observations is 16 and that of the last 7 observations is 12, then the 7th observation is ____.
A)
12 done
clear
B)
14 done
clear
C)
16 done
clear
D)
18 done
clear
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question_answer4)
The mean of ten items is p and if each item is decreased by 3, then its mean will be
A)
\[10p-3\] done
clear
B)
3p done
clear
C)
\[p-3\] done
clear
D)
\[10+p\] done
clear
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question_answer5)
Find the median of the data given below. 14, 6, 9, 15, 14, 9, 21, 21, 25, 21, 27, 29, 21, 8, 6, 15, 25, 14, 21, 9, 21, 25, 27, 29, 6, 14, 21, 21, 27, 25, 27, 9, 15, 14,9
A)
25 done
clear
B)
21 done
clear
C)
14 done
clear
D)
9 done
clear
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question_answer6)
Find the mode of the given data. 7, 4, 3, 5, 6, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 3, 2, 2, 4, 3, 5, 4, 3, 4, 3, 4, 3, 1, 2, 3
A)
3 done
clear
B)
4 done
clear
C)
5 done
clear
D)
2 done
clear
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question_answer7)
The mean of 11 numbers is 10. What should be added as 12th number to make the mean 14?
A)
10 done
clear
B)
72 done
clear
C)
58 done
clear
D)
90 done
clear
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question_answer8)
If the mean of 10 observations is 20 and that of another 15 observations is 16, then the mean of 25 observations is ____.
A)
18 done
clear
B)
18.2 done
clear
C)
17.6 done
clear
D)
17 done
clear
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question_answer9)
The following observations have been arranged in the ascending order. If the median of the data 29, 32, 48, 50,\[x,x+2,\]72, 78, 84, 95 is 63, then the value of\[x\]is
A)
63 done
clear
B)
62 done
clear
C)
61 done
clear
D)
60 done
clear
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question_answer10)
If\[x\]is the mean of\[{{x}_{1}},{{x}_{2}},......,{{x}_{n}},\]then for\[a\ne 0,\] the mean of \[a{{x}_{1}},a{{x}_{2}},....,a{{x}_{n}},\]\[\frac{{{x}_{1}}}{a},\frac{{{x}_{2}}}{a},.....,\frac{{{x}_{n}}}{a}\]is._____.
A)
\[\left( a+\frac{1}{a} \right)\overline{X}\] done
clear
B)
\[\left( a+\frac{1}{a} \right)\frac{\overline{X}}{2}\] done
clear
C)
\[\left( a+\frac{1}{a} \right)\frac{\overline{X}}{n}\] done
clear
D)
\[\frac{\left( a+\frac{1}{a} \right)\bar{X}}{2n}\] done
clear
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question_answer11)
If mean of the following data is 11. Find the value of P.
\[{{x}_{i}}\] | 13 | 5 | 7 | 19 | 11 | 13 |
\[{{x}_{i}}\] | 6 | 8 | P | 11 | 8 | 4 |
A)
11 done
clear
B)
15 done
clear
C)
17 done
clear
D)
13 done
clear
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question_answer12)
Mean of 11 observations is 17.5. If one observation value 15 is deleted, then the mean of remaining observations is ____.
A)
15.75 done
clear
B)
16.75 done
clear
C)
17.75 done
clear
D)
18.75 done
clear
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question_answer13)
Find the mean of two digit natural numbers which have both digits same.
A)
55 done
clear
B)
45 done
clear
C)
65 done
clear
D)
50 done
clear
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question_answer14)
The average of n numbers\[{{x}_{1}},{{x}_{2}},{{x}_{3}},.....,{{x}_{n}}\]is A. If \[{{x}_{1}}\]is replaced by\[(x+a){{x}_{1}},{{x}_{2}}\]is replaced by \[(x+a){{x}_{2}},.....,\]then the new average is______.
A)
\[(x+a)A\] done
clear
B)
\[\frac{(x-1)A+n{{x}_{n}}}{n}\] done
clear
C)
\[\frac{nA+(n+1){{x}_{n}}}{n}\] done
clear
D)
\[\frac{(n+1)A+{{x}_{n}}}{n}\] done
clear
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question_answer15)
The difference between the maximum and the minimum observation in the data is called ____.
A)
Frequency done
clear
B)
Class interval done
clear
C)
Range done
clear
D)
Cumulative frequency done
clear
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question_answer16)
A contractor employed 18 labourers at ` 12 each per day, 10 labourers at ` 13.50 each per day, 5 labourers at ` 25 each per day and 2 labourers at ` 42 each per day. The average wages paid is ____.
A)
` 16 done
clear
B)
` 20 done
clear
C)
` 24 done
clear
D)
` 28 done
clear
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question_answer17)
In a class test, in Mathematics, 10 students scored 75 marks, 12 students scored 60 marks, 8 students scored 40 marks and 3 students scored 30 marks. The mean of their score is (approximately) ____.
A)
57 marks done
clear
B)
56 marks done
clear
C)
15 marks done
clear
D)
54 marks done
clear
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question_answer18)
In a class, the mean weight of 60 students is 40 kg. The mean weight of boys is 50 kg while that of the girls is 30 kg. The number of boys and girls respectively are ____.
A)
30, 30 done
clear
B)
35, 25 done
clear
C)
25, 35 done
clear
D)
20, 40 done
clear
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question_answer19)
Arnav scored 63 marks in English, 57 in Hindi, 82 in Mathematics, 55 in Social Science and\[x\]in Science. If the average he scored is 60, find the average of best four of the them.
A)
63.25 done
clear
B)
65.15 done
clear
C)
64.25 done
clear
D)
60.75 done
clear
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question_answer20)
In a school, there are 40 students in which boys and girls are in the ratio 3:1. The mean age of the boys is 20 years and the mean age of the girls is 18 years. If there is increase in girls by 5 and decrease in boys by 10, then find the new average age (approx.) when the students joining or leaving doesn't change the average age of boys and girls respectively.
A)
15 years done
clear
B)
19 years done
clear
C)
16 years done
clear
D)
Can't say done
clear
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question_answer21)
The owner of a plant nursery wanted to test the effectiveness of a new type of fertilizer. He measured the heights of 5 plants, and then gave each an equal amount of fertilizer. Two weeks later, he measured the heights of the plants again. The graph below shows the height of the plants before and after the addition of fertilizer.
KEY |
Height before addition of fertilizer Height after addition of fertilizer |
What was the mean growth of the plants?
A)
4.5 cm done
clear
B)
5 cm done
clear
C)
5.5 cm done
clear
D)
6 cm done
clear
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question_answer22)
The sum of the squares of two consecutive even numbers is two more than two times the square of their mean. This statement is
A)
Never true done
clear
B)
Always true done
clear
C)
True when the numbers are more than 100. done
clear
D)
True when the numbers are less than or equal to 100. done
clear
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question_answer23)
Match the following.
Column I | Column II |
(P) data which is collected for the first time by the statistical investigator or with the help of his workers is called | (1) Secondary data |
(Q) These are the data already collected by a person or a society and these may be in published form is | (2) Variable |
(R) When the data is complied in the same form and order in which it is collected, it is known as | (3) Primary Data |
(S) A quantity which can vary from one individual to another is called | (4) Raw Data |
A)
B)
C)
D)
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question_answer24)
State T for true and 'F' for false.
(i) If the number of observations is even, then the median is mean of \[{{\left( \frac{n}{2} \right)}^{th}}\]and\[{{\left( \frac{n}{2}+1 \right)}^{th}}\]terms. |
(ii) After four vertical lines for a tally marks, if the tally marks occurs for the fifth time, then the fifth line is put vertically with previous four lines. |
(iii) If the range of the data with minimum value 16, is 87, then the maximum value is 71. |
(iv) Mode of the data, 14, 71, 51, 91, 15, 2, 15, 51, 19, 41, 51, 15, 51 is 51. |
(v) Mean of first ten natural numbers is 5.5 |
A)
B)
C)
D)
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question_answer25)
Fill in the blanks.
(i) The P of class interval is called its class mark. |
(ii) The Q can be calculated graphically. |
(iii) The R of all bars in histogram should be equal. |
(iv) Width of the class interval called S of class interval. |
A)
B)
C)
D)
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