Chapter 13 · Class 10 CBSE · MCQ Test
Statistics MCQ Test — Class 10 CBSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Statistics — MCQ Questions
1The mean of 5 numbers is 20. What is the sum of these 5 numbers?
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Answer: 100
Hint: Mean = Sum / Number of observations. So Sum = Mean x Number.
Solution:
Sum = Mean $\times$ Number of observations — = 20 \times 5 = 100
2The class mark of the class interval $10 - 20$ is:
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Answer: 15
Hint: Class mark = (upper limit + lower limit) / 2.
Solution:
Class mark $= \frac{10 + 20}{2}$ — = 15
3In a frequency distribution, the sum of $f_i x_i = 420$ and $\sum f_i = 30$. The mean is:
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Answer: 14
Hint: Mean (direct method) $= \frac{\sum f_i x_i}{\sum f_i}$.
Solution:
Mean $= \frac{\sum f_i x_i}{\sum f_i} = \frac{420}{30}$ — = 14
4The mode of the data: 2, 3, 4, 5, 3, 3, 4, 2, 3 is:
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Answer: 3
Hint: Mode is the value that appears most frequently.
Solution:
Frequency: 2 appears 2 times, 3 appears 4 times, 4 appears 2 times, 5 appears 1 time.
Mode = 3 (highest frequency).
5The median of the data 3, 8, 5, 7, 6 (when arranged in order) is:
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Answer: 6
Hint: Arrange in order and find the middle value.
Solution:
Arranged: 3, 5, 6, 7, 8
Middle value (3rd term): — \text{Median} = 6
6What does 'cumulative frequency' mean?
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Answer: Sum of all frequencies up to a certain class
Hint: Cumulative means 'adding up' as you go.
Solution:
Cumulative frequency is the running total of frequencies from the first class to the current class.
7The mean of the first 5 natural numbers is:
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Answer: 3
Hint: First 5 natural numbers: 1, 2, 3, 4, 5.
Solution:
Mean $= \frac{1+2+3+4+5}{5} = \frac{15}{5}$ — = 3
8In the formula for mode of grouped data, $l$ represents:
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Answer: Lower limit of the modal class
Hint: The modal class is the class with the highest frequency.
Solution:
In Mode $= l + \left(\frac{f_1 - f_0}{2f_1 - f_0 - f_2}\right) \times h$,
$l$ = lower limit of the modal class.
9If the mean of 6, 8, 5, $x$, 4 is 7, find $x$.
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Answer: 12
Hint: Sum = Mean x n. Find the sum needed, then solve for $x$.
Solution:
Sum should be $7 \times 5 = 35$.
$6 + 8 + 5 + x + 4 = 35$
$23 + x = 35$ — x = 12
10An ogive is a graph of:
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Answer: Cumulative frequency
Hint: An ogive is also called a cumulative frequency curve.
Solution:
An ogive (or cumulative frequency curve) plots cumulative frequencies against upper class boundaries.
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Tips for Statistics MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Statistics MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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