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CBSE Class 10  >  Class 10 Test  >  Online MCQ Tests  >  Important Questions: Statistics - Class 10 MCQ

Important Questions: Statistics - Free MCQ Test with solutions for


MCQ Practice Test & Solutions: Important Questions: Statistics (10 Questions)

You can prepare effectively for Class 10 Online MCQ Tests for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Important Questions: Statistics". These 10 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 10

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Important Questions: Statistics - Question 1
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While computing mean of a grouped data, we assume that the frequencies are

Detailed Solution: Question 1

  • When computing the mean of grouped data, we assume that the frequencies are centered at the class marks of the classes.
  • This means that each frequency is associated with the midpoint of its respective class interval.
  • Using the class marks allows for an accurate calculation of the mean by multiplying each class mark by its frequency, summing these products, and then dividing by the total frequency.

Important Questions: Statistics - Question 2
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di is the deviation of xi from assumed mean a. 

Detailed Solution: Question 2

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Important Questions: Statistics - Question 3
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Construction of a cumulative frequency table is useful in determining the

Detailed Solution: Question 3

The correct answer is b

   A cumulative frequency table helps to determine the median of the series.

Important Questions: Statistics - Question 4
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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

Detailed Solution: Question 4

Sum of 100 observations = 100 x 49 = 4900
Correct sum = 4900 - [40 + 20 + 50] + [60 + 70 + 80] = 5000
∴ Correct mean = 5000/100 = 50

Important Questions: Statistics - Question 5
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In the formula, Mode 

Detailed Solution: Question 5

The formula to find the mode of the grouped data is: Mode = l + [(f1-f0)/(2f1-f0-f2)]×h. Where, l = lower class limit of modal class, h = class size, f1 = frequency of modal class, f0 = frequency of class proceeding to modal class, f2 = frequency of class succeeding to modal class.

Important Questions: Statistics - Question 6
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Choose the correct answer from the given four options : In the formula
for finding the mean of grouped data are deviation from a of

Important Questions: Statistics - Question 7
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For the following distribution:

The sum of upper limits of the median class and model class is

Important Questions: Statistics - Question 8
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While computing mean of grouped data, we assume that the frequencies are

Detailed Solution: Question 8

When computing the mean of grouped data, we make certain assumptions about the distribution of frequencies across classes.

  • The frequencies are considered to be evenly distributed across all classes.
  • We assume the frequencies are centred at the classmarks of the classes.
  • Alternatively, they could be centred at the upper limits of the classes.
  • Lastly, they might be centred at the lower limits of the classes.

Among these, the most common assumption is that the frequencies are centred at the classmarks. This means we consider the mid-point of each class as the representative value. This approach simplifies calculations and helps provide a more accurate mean for the grouped data.

Important Questions: Statistics - Question 9
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Consider the following frequency distribution of the height of 60 students of a class:

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

Detailed Solution: Question 9

Important Questions: Statistics - Question 10
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If the mean of frequency distribution is 7.5 and ∑fi xi = 120 + 3k, ∑fi = 30, then k is equal to:

Detailed Solution: Question 10

As per the given question,

Xmean = ∑fi xi /∑fi

7.5 = (120+3k)/30

225 = 120+3k

3k = 225-120

3k= 105

k=35

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About this Class 10 Practice Test

This test contains 10 MCQs on Important Questions: Statistics with detailed solutions for each question. It is part of the Online MCQ Tests for Class 10 course on EduRev, designed to align with the current Class 10 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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