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Statistics — Class 10 CBSE Mathematics MCQs with Solutions
Free Class 10 CBSE Mathematics Statistics MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
The most frequently occurring observation is the:
A. mean
B. median
C. mode ✓ Correct
D. range
Solution: Mode = most frequent.
Q2 — easy
The median of 2, 4, 6, 8, 10 is:
A. 4
B. 5
C. 6 ✓ Correct
D. 8
Solution: The middle value is 6.
Q3 — easy
The mean of the first five natural numbers is:
A. 2
B. 2.5
C. 3 ✓ Correct
D. 5
Solution: 15 ÷ 5 = 3.
Q4 — hard
If the mean of x, x+2, x+4, x+6 is 13, find x.
A. 8
B. 10 ✓ Correct
C. 12
D. 13
Solution: (4x + 12)/4 = 13 → x = 10.
Q5 — hard
For a symmetric distribution, mean, median and mode are:
A. all different
B. all equal ✓ Correct
C. in ratio 1:2:3
D. always zero
Solution: They coincide in a symmetric distribution.
Q6 — hard
The mode of a grouped distribution is found using the class with the:
A. lowest frequency
B. highest frequency ✓ Correct
C. smallest class mark
D. largest class mark
Solution: The modal class has the highest frequency.
Q7 — medium
The empirical relationship between mean, median and mode is:
A. Mode = 3 Median − 2 Mean ✓ Correct
B. Mode = 2 Median − 3 Mean
C. Mean = Mode + Median
D. Median = Mean + Mode
Solution: Mode = 3 Median − 2 Mean.
Q8 — medium
If the mean of 6 numbers is 20 and one number 30 is removed, the new mean is:
A. 16
B. 18 ✓ Correct
C. 20
D. 22
Solution: (120 − 30)/5 = 18.
Q9 — medium
A cumulative frequency curve is called an:
A. ogive ✓ Correct
B. histogram
C. bar graph
D. pie chart
Solution: The ogive plots cumulative frequency.