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cbse 10th Standard Maths Statistics Important Questions And Answers Study Material - QB365 Set A

Published on: 22/10/2025

Question Set A

cbse 10th Standard Maths Statistics Important Questions And Answers Study Material - QB365

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Std: 10th Standard CBSE - Maths

chapter: Statistics - Important Questions And Answers

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Questions:

Multiple Choice Question

46 x 1 = 46

If the mean and the mode of a distribution are 15 and 18 respectively, then the median of the distribution is

(a)

(b)

(c)

(d)

The median class for the data given below is

Class	20-40	40-60	60-80	80-100	100-120
Frequency	10	12	14	13	17

(a)

80 - 100

(b)

20 - 40

(c)

40 - 60

(d)

60 - 80

The median of first seven prime numbers is

(a)

(b)

(c)

(d)

For the following distribution

Class	0-5	5-10	10-15	15-20	20-25
Frequency	10	15	12	20	9

The lower limit of modal class is

(a)

(b)

(c)

(d)

The time in seconds, taken by 150 athletes to run a 100m hurdle race are tabulated below

Time (sec)	13-14	14-15	15-16	16-17	17-18	18-19
Number of Athletes	2	4	5	71	48	20

The number of athletes who completed the race in less than 17 sec, is

(a)

(b)

(c)

(d)

If the mean of 6, 7, x, 8, y, 14 is 9, then

(a)

x + y = 21

(b)

x + y = 19

(c)

x - y = 19

(d)

x - y = 21

If the mean of five observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the values of x is

(a)

(b)

(c)

(d)

The mean of five observations is 15. If the mean of first three observations is 14 and that of the last three observations is 17, then the third observation is

(a)

(b)

(c)

(d)

If the mean and median of a data are 10 and 11 respectively, then mode of the data is

(a)

(b)

(c)

(d)

10.

If for a distribution \(\sum_1^n f_i x_i=132+5 p, \sum_1^n f_i=20\) and mean of the distribution is 8.1, then the value of p is

(a)

(b)

(c)

(d)

11.

For the following frequency distribution

Class	Frequency
0-5	2
5-10	7
10-15	18
15-20	10
20-25	8
25-30	5

If the mode and the median are 12.9 and 14.44 respectively, then the mean is

(a)

15.2

(b)

(c)

(d)

12.

If median of 20 observations is 50 and mode is also 50, then the mean is

(a)

(b)

(c)

(d)

13.

If the mean of the following distribution is 6, find the value of ‘p’.

x	2	4	6	10	p+6
f	3	2	3	1	2

(a)

(b)

(c)

(d)

14.

The mean of first ten even natural numbers is

(a)

(b)

(c)

100

(d)

15.

If the point of intersection of a less than and more than ogive is (15,20), then the value of median is

(a)

(b)

(c)

(d)

16.

Ths symbol Σ(sigma) stands for

(a)

Multiplication

(b)

Subtraction

(c)

Summation

(d)

Division

17.

The median of the given data is 46 and the total number of items is 230

variable	Frequency	Cumulative Frequency
10-20	12	12
20-30	30	42
30-40	34	76
40-50	65	141
50-60	46	187
60-70	25	212
70-80	18	230

Using the formula Mode = 3 Median – 2 Mean, the mean will be

(a)

45.9

(b)

44.5

(c)

(d)

18.

What is the empirical relationship between the three measures of central tendency?

(a)

3 Mean = Mode + 2 Median

(b)

3 Median = Mode + 2 Mean

(c)

3 Median = 2Mode + Mean

(d)

3 Mean = 2Mode + Median

19.

The mean and median of same data are 24 and 26 respectively. The value of mode is :

(a)

(b)

(c)

(d)

20.

The mean of a data set with 12 observations is calculated as 19.25. If one more value is included in the data, then for the new data with 13 observations, mean becomes 20. Value of this 13th observation is

(a)

(b)

(c)

(d)

21.

Expenditure	0-10	10-20	20-30	30-40	40-50
No of famileis	14	23	27	21	15

What is the mode of the given data

(a)

(b)

(c)

(d)

22.

Find the median class of the following distribution

Class	100-200	200-300	300-400	400-500	500-600	600-700
Frequency	25	35	26	44	18	12

(a)

400-500

(b)

300-400

(c)

200-300

(d)

500-600

23.

If the mean and the median are 25.41 and 26.5 respectively. then the mode is

(a)

(b)

28.68

(c)

25.6

(d)

24.

The lower limit of the modal class of the following data is

C.I	0-10	10-20	20-30	30-40	40-50
Frequency	5	8	13	7	6

(a)

(b)

(c)

(d)

25.

Calculate mode of the following data: 20,60,70,70,60,70,60,10,70,80

(a)

(b)

(c)

(d)

26.

If the mean of the following data is 18.75, then the value of p is

x₁	10	15	p	25	30
f₁	5	10	7	8	2

(a)

18.5

(b)

(c)

(d)

27.

The mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the value of x is:

(a)

(b)

(c)

(d)

28.

If there are two class intervals 10-20 and 20-30, then in which interval will 20 fall?

(a)

10-20

(b)

20-30

(c)

Neither in 10-20 nor 20-30

(d)

In both, 10-20 and 20-30

29.

Mode is not affected by

(a)

Maximum value

(b)

Minimum value

(c)

Extreme values

(d)

All of the above

30.

For the following distribution the modal class is

Marks below	10	20	30	40	50	60
Number of students	2	11	25	45	57	75

(a)

20-30

(b)

40-50

(c)

30-40

(d)

10-20

31.

Frequency table of the marks of 50 students as given below:

Marks Obtained	0-10	10-20	20-30	30-40	40-50	50-60
No of students	3	f₁	20	10	5	f₂

Given that the median marks are 28.5, the missing frequencies will be

(a)

f₁ = 7, f₂ = 9

(b)

f₁ = 5, f₂ = 7

(c)

f₁ = 8, f₂ = 7

(d)

f₁= 7, f₂ = 5

32.

Which measure of central tendency takes in account all the data?

(a)

Mean

(b)

Median

(c)

Mode

(d)

All of the above

33.

The mode, median and mean of the following data are:

Marks obtained	Frequency	Cumulative Frequency
0-10	5	5
10-20	10	15
20-30	18	33
30-40	30	63
40-50	20	83
50-60	12	95
60-70	5	100

(a)

mode = 35.45, median = 35.66, mean = 35.76

(b)

mode = 34.3, median = 36.7, mean = 36.7

(c)

mode = 33.3, median = 35.7, mean = 36.4 mode = 45.3, median = 32.7, mean = 35.4

(d)

mode = 45.3, median = 32.7, mean = 35.4

34.

The value of the observation having greatest frequency is called____

(a)

Mean

(b)

Median

(c)

Mode

(d)

All of above

35.

For a symmetrical distribution, which is correct

(a)

Mean = Median = Mode

(b)

Mean < Mode < Median

(c)

Mean > Mode > Median

(d)

Mode = Mean + Median/2

36.

A boy scored the following marks in various tests during a term, each test being marked out of 20 15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16. The median marks are

(a)

(b)

(c)

(d)

37.

The relation connecting the measures of central tendencies is

(a)

Mode = 2 median + 3 mean

(b)

Mode = 3 median – 2 mean

(c)

Mode = 3 median + 2 mean

(d)

Mode = 2 median – 3 mean

38.

Median of the data given below will lie in the class

Height(in cm)	frequency
Below 140	4
140-145	7
145-150	18
150-155	11
155-160	6
160-165	5

(a)

150-155

(b)

140-145

(c)

160-165

(d)

145-150

39.

For the following distribution the differences in the upper limit of median and modal class is

C1	0-10	10-20	20-30	30-40	40-50
F	2	5	7	5	2

(a)

(b)

(c)

(d)

40.

The median of the following data is:

Rent (in Rs)	15-25	25-35	35-45	45-55	55-65	65-75	75-85	85-95
No. of houses	8	10	15	25	40	20	15	7

(a)

(b)

(c)

(d)

41.

Expendicture	0-10	10-20	20-30	30-40	40-50
No. of families	14	23	27	21	15

What is the mode of the given data?

(a)

(b)

(c)

(d)

42.

The median of first ten natural numbers is

(a)

(b)

5.5

(c)

(d)

43.

A batsman in his 12th innings makes a score of 63 runs and thereby increases his average score by 2. His average score after 12th

(a)

(b)

(c)

(d)

44.

If the median of the following data is 166.79, then the mean and mode are

Class Interval	Frequency
130-140	5
140-150	9
150-160	17
160-170	28
170-180	24
180-190	10
190-200	7

(a)

Mode = 161.9 Mean = 168

(b)

Mode = 152.9 Mean = 166.73

(c)

Mode = 160.9 Mean = 167

(d)

Mode = 167.3, Mean = 168.03

45.

The mean of the following data is: 45, 35, 20, 15, 25, 40

(a)

(b)

(c)

(d)

46.

The mean of a data set with 12 observations is calculated as 19.25. If one more value is included in the data, then for the new data with 13 observations, mean becomes 20. The value of this 13th observation is

(a)

(b)

(c)

(d)