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Maths Statistics Class 10 MCQ and Assertion Questions | CBSE 10 Question MCQ (including Assertion)

Question 1 of 10

In statistics, an outlier is a data point that differs significantly from other observations of a data set.

If an outlier is included in the following data set, which measure(s) of central tendency would change?

12, 15, 22, 44, 44, 48, 50, 51

A only mean B only mean and median C all - mean, median, mode D (cannot be said without knowing the outlier.)

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Question 2 of 10

CBSE Board Exam 2026

The class mark of the median class of the following data is :

Class Interval	10-25	25-40	40-55	55-70	70-85	85-100
Frequency	2	3	7	6	6	6

A 40 B 55 C \(47.5\) D \(62.5\)

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Question 3 of 10

CBSE Board Exam 2026

The median and mode of a distribution are \(25 \cdot 2\) and \(26 \cdot 1\) respectively. The mean of the distribution is :

A \(24 \cdot 75\) B \(24 \cdot 25\) C \(24 \cdot 3\) D 25.5

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Question 4 of 10

A survey was conducted on \(\mathbf{8 0}\) gamers on how many games did they play in a day. The data is given below.

Number of games	Number of gamers
1-2	20
2-3	24
3-4	10
4-5	12
5-6	8
6-7	4
7-8	2

Which of the following is the modal class?

A 1-2 B 2-3 C 4-5 D 7-8

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Question 5 of 10

In the given frequency distribution table, the values of missing frequency a1 and a2 respectively are:

Cl.	Frequency	Cumulative frequency
0-10	5	\(5\)
10-20	\(\mathrm{a}_1\)	12
20-30	9	21
30-40	\(\mathrm{a}_2\)	31
40-50	9	40

A \(\mathrm{a}_1=5, \mathrm{a}_2=5\) B \(\mathrm{a}_1=7, \mathrm{a}_2=5\) C \(\mathrm{a}_1=7, \mathrm{a}_2=10\) D \(\mathrm{a}_1=5, \mathrm{a}_2=10\)

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Question 6 of 10

Consider the following frequency distribution of the heights of 60 students of a class :

Height (in cm)	Number of students
150-155	15
155-160	13
160-165	10
165-170	8
170-175	9
175-180	5

The sum of the lower limit of the modal class and upper limit of the median class is

A 310 B 315 C 320 D 330

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Question 7 of 10

NCERT Exemplar

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 \(\quad 10-20\) B \(\quad 20-30\) C \(\quad 30-40\) D \(\quad 50-60\)

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Question 8 of 10

NCERT Exemplar

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

Class	13.8-14	14-14.2	14.2-14.4	14.4-14.6	14.6-14.8	14.8-15
Frequency	2	4	5	71	48	20

The number of atheletes who completed the race in less then 14.6 seconds is :

A 11 B 71 C 82 D 130

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Question 9 of 10

NCERT Exemplar

In the following distribution :

Monthly income range (in Rs)	Number of families
Income more than Rs 10000	100
Income more than Rs 13000	85
Income more than Rs 16000	69
Income more than Rs 19000	50
Income more than Rs 22000	33
Income more than Rs 25000	15

the number of families having income range (in Rs) 16000-19000 is

A 15 B 16 C 17 D 19

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Question 10 of 10

Shown below are number line representations of the medians of two different data sets.
Which of the two representations of median could be correct?

A only (i) B only (ii) C both (i) and ii) D (cannot say without knowing the elements of the data sets)

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