Class 10 Maths MCQs Chapter 14 Statistics

Class 10 Maths MCQs Chapter 14 Statistics

MCQ on Statistics Class 10 Question 1. One of the methods for determining mode is
(a) Mode = 2 Median -3 Mean
(b) Mode = 3 Median – 2 Mean
(c) Mode = 2 Mean – 3 Median
(d) Mode = 3 Mean – 2 Median

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2. Mode is the
(a) middle most frequent value
(b) least frequent value
(c) maximum frequent value
(d) none of these

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3. The algebraic sum of the deviations of a frequency distribution from its mean is always,
(a) greater than zero
(b) less than zero
(c) zero
(d) a non-zero number

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MCQ Questions for Class 10 Maths Statistics Question 4. While computing mean of grouped data, we assume that the frequencies are
(a) centred at the upper limits of the classes
(b) centred at the lower limits of the classes
(c) centred at the classmarks of the classes
(d) evenly distributed over all the classes
5. Construction of a cumulative frequency table is useful in determining the
(a) mean
(b) median
(c) mode
(d) none of these

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6. Which of the following can not be determined graphically?
(a) Mean
(b) Median
(c) Mode
(d) None of these

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Statistics MCQ Class 10 Question 7. The absccissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its
(a) Mean
(b) Median
(c) Mode
(d) None of these

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8. For the following distribution

C.I.	0-10	10-20	20-30	30-40	40-50
f	20	30	24	40	18

the sum of lower limits of the modal class and the median class is
(a) 20
(b) 30
(c) 40
(d) 50

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9. For the following distribution

C.I.	0-5	6-11	12-17	18-23	24-29
f	26	20	30	16	22

the upper limit of the median class is
(a) 18.5
(b) 18
(c) 17.5
(d) 17

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MCQ of Statistics Class 10 Question 10. For the following distribution

Marks	No. of students
Less than 20	4
Less than 40	12
Less than 60	25
Less than 80	56
Less than 100	74
Less than 120	80

the modal class is
(a) 20 – 40
(b) 40 – 60
(c) 60 – 80
(d) 80 -100

Answer

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11. For the following distribution

Monthly Expenditure (?)	No. of families
Expenditure les than ? 10,000	15
Expenditure les than ? 13,000	31
Expenditure les than ? 16,000	50
Expenditure les than ? 19,000	67
Expenditure les than ?22,000	85
Expenditure les than ?25,000	100

The number of families having expenditure range (in ?) 16,000 – 19,000 is
(a) 15
(b) 16
(c) 17
(d) 19

Answer

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12. In the given data:

C.I.	f
65-85	4
85 – 105	5
105 – 125	13
125 – 145	20
145 – 165	14
165 – 185	7
185 – 205	4

the difference of the upper limit of the median class and the lower limit of the modal class is
(a) 38
(b) 20
(c) 19
(d) 0

Answer

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Statistics Class 10 MCQ Question 13. For the following distribution

Cl	0-5	5-10	10-15	15-20	20-25
f	10	15	12	20	9

the difference of the upper limit of the median class and the lower limit of the modal class is
(a) 0
(b) 5
(c) 10
(d) -5

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14. For the following distribution

Marks	0-10	10-20	20-30	30-40	40-50
No. of students	3	9	13	10	5

the number of students who got marks less than 30 is
(a) 13
(b) 25
(c) 10
(d) 12

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15. For the following distribution

Marks obtained	No. of students
More than or equal to 0	63
More than or equal to 10	58
More than or equal to 20	55
More than or equal to 30	51
More than or equal to 40	48
More than or equal to 50	42

the frequency of the class 20-30 is
(a) 35
(b) 4
(c) 48
(d) 51

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MCQ Questions for Class 10 Maths with Answers Question 16. The times, in seconds, taken by 150 atheletes to run a 100 m hurdle race are tabulated below:

C.I.	f
13.8-14	3
14 – 14.2	4
14.2 – 14.4	6
14.4 – 14.6	69
14.6 – 14.8	48
14.8-15	20

The number of atheletes who completed the race in less than 14.6 seconds is
(a) 13
(b) 69
(c) 82
(d) 130

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17. di is the deviation of xi from assumed mean a. If mean = x+∑fidi∑fi, then x is
(a) class size ‘
(b) number of observations
(c) assumed mean
(d) none of these

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18. Mean of 100 items is 49. It was discovered that three items which should have been 60, 70, 80 were wrongly read as 40, 20, 50 respectively. The correct mean is
(a) 48
(b) 49
(c) 50
(d) 60

Answer/Explanation

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MCQ on Statistics Class 9 Question 19. Choose the correct answer from the given four options : In the formula

for finding the mean of grouped data d1 s are deviation from a of [NCERT Exemplar Problems]
(a) lower limits of the classes
(b) upper limits of the classes
(c) mid points of the classes
(d) frequencies of the class marks

Answer/Explanation

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20. While computing mean of grouped data, we assume that the frequencies are [NCERT Exemplar Problems]
(a) evenly distributed over all the classes
(b) centred at the classmarks of the classes
(c) centred at the upper limits of the classes
(d) centred at the lower limits of the classes

Answer/Explanation

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CBSE Class 10 Maths MCQ Pdf Question 21. A car travels from city A to city B, 120 km apart at an average speed of 50 km/h. It then makes a return trip at an average speed of 60 km/h. It covers another 120 km distance at an average speed of 40 km/h. The average speed over the entire 360 km will be

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22. Mean of n numbers x1, x2, … xn is m. If xn is replaced by x, then new mean is

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Statistics MCQ Question 23. In the formula x¯=a+h(∑fiui∑fi) finding the mean of grouped frequency distribution, ui = [NCERT Exemplar Problems]

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24. The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its [NCERT Exemplar Problems]
(a) mean
(b) median
(c) mode
(d) all the three above

Answer/Explanation

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25. For the following distribution:

Marks	Number of Students
Below 10	3
Below 20	12
Below 30	27
Below 40	57
Below 50	75
Below 60	80

the modal class is
(a) 10 – 20
(b) 20 – 30
(c) 30 – 40
(d) 50 – 60

Answer

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26. The times, in seconds, taken by 150 atheletes to run a 110 m hurdle race are tabulated below:

Class	Frequency
13.8 – 14.0	2
14.0 – 14.2	4
14.2 – 14.4	5
14.4 – 14.6	71
14.6 – 14.8	48
14.8 – 15.0	20

The number of atheletes who completed the race in less then 14.6 seconds is: [NCERT Exemplar Problems]
(a) 11
(b) 71
(c) 82
(d) 130

Answer/Explanation

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27. Mode is the value of the variable which has:
(a) maximum frequency
(b) minimum frequency
(c) mean frequency
(d) middle most frequency [CBSE 2012]

Answer/Explanation

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28. Mode and mean of a data are 12k and 15A. Median of the data is
(a) 12k
(b) 14k
(c) 15k
(d) 16k

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29. If mean = (3 median – mode) . k, then the value of k is
(a) 1
(b) 2
(C) 12
(d) 32

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30. The median of set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set
(a) is increased by 2
(b) is decreased by 2
(c) is two times of the original number
(d) Remains the same as that of the original set.

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Maths Multiple Choice Questions with Answers for Class 10 Question 31. The median from the table is

Value	Frequency
7	2
8	1
9	4
10	5
11	6
12	1
13	3

(a) 11
(b) 10
(c) 12
(d) 11.5

Answer/Explanation

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32. The relationship between mean, median and mode for a moderately skewed distribution is
(a) mode = median – 2 mean
(b) mode = 3 median – 2 mean
(c) mode = 2 median – 3 mean
(d) mode = median – mean

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33. The abscissa of the point of intersection
of both types (less than & more than) of cumulative frequency curves help in finding
(a) mean
(b) median
(c) mode
(d) None of these

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34. Cumulative frequency curve is also called
(a) histogram
(b) ogive
(c) bar graph
(d) median