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CBSE Class 10  >  Class 10 Test  >  Online MCQ Tests  >  Test: Arithmetic Mean of Grouped Data - Class 10 MCQ

Arithmetic Mean of Grouped Data - Class 10 Free MCQ Test with solutions


MCQ Practice Test & Solutions: Test: Arithmetic Mean of Grouped Data (15 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 "Test: Arithmetic Mean of Grouped Data". These 15 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: 15 minutes
  • - Number of Questions: 15

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Test: Arithmetic Mean of Grouped Data - Question 1
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The mean of five numbers is 28. If one of the numbers is excluded, the mean gets reduced by 2. The excluded number is

Detailed Solution: Question 1

Mean of 5 nos.= 28

Therefore, sum of the 5 nos. = 28 * 5 = 140 

The the no. exclude by 'x'.

New sum of 4 nos.= 140 - x

New mean = 28- 2 = 26

Therefore, (140 - x ) / 4 = 26

=> 140 - x = 104

=> x = 36

Test: Arithmetic Mean of Grouped Data - Question 2
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If the mean of the following data is 18.75, then the value of p is

 ​

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Test: Arithmetic Mean of Grouped Data - Question 3
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The mean of the following data is: 45, 35, 20, 15, 25, 40​

Detailed Solution: Question 3

Use the formula Mean = (Sum of observations)/(Number of observations)

Sum of observations = 45 + 35 + 20 + 15 + 25 + 40 = 180

Number of observations = 6

Mean = 180 ÷ 6 = 30
Hence the correct answer is 30 (Option C)

Test: Arithmetic Mean of Grouped Data - Question 4
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The mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the value of x is:

Detailed Solution: Question 4

(x + x + 2 + x + 4 + x + 6 + x + 8) / 5 = 11

5x + 20 =  55

5x = 35 ⇒ x = 7

Test: Arithmetic Mean of Grouped Data - Question 5
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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​

Detailed Solution: Question 5

Suppose be all twelevth terms = x
Mean = Terms / Observation
19 . 25 = x / 12
x = 19.25 × 12
x = 231 .00

Now let thirteenth term will be y
Mean = 20
So, 20 = x + y / 13
20 = 231 + y / 13
20 × 13 = 231 + x
260 = 231 + x
260 - 231 = x
29 = x

Test: Arithmetic Mean of Grouped Data - Question 6
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The mean of first ten even natural numbers is​

Test: Arithmetic Mean of Grouped Data - Question 7
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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 innings is​

Test: Arithmetic Mean of Grouped Data - Question 8
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Which measure of central tendency takes in account all the data?​

Test: Arithmetic Mean of Grouped Data - Question 9
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The mean () of a frequency distribution is 45. If the value of  = 20 then the value of   is:

Detailed Solution: Question 9

Test: Arithmetic Mean of Grouped Data - Question 10
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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​

Test: Arithmetic Mean of Grouped Data - Question 11
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In the following distribution, if the mean of the distribution is 86 then the value of p is 

Test: Arithmetic Mean of Grouped Data - Question 12
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The mean of 1, 2, 3, 4 …n is given by

Detailed Solution: Question 12

⇒   We have the sequence, 1,2,3.......n
⇒   This is an AP, with the initial term a=1 and the common difference d=1.
∴   The sum of n terms of an AP is given by,


→   Arithmetic mean of n numbers a1​,a2​,a3​,a4​,...an​ is given by the formula

Test: Arithmetic Mean of Grouped Data - Question 13
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The arithmetic mean of the following data is

​

Test: Arithmetic Mean of Grouped Data - Question 14
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The mean of the marks obtained by 7 students in a group is 226. If the marks obtained by six of them are 340, 180, 260, 56, 275, 307, then the marks obtained by the seventh student are​

Test: Arithmetic Mean of Grouped Data - Question 15
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The mean of 15 numbers is 25. If each number is multiplied by 4, mean of the new numbers is

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About this Class 10 Practice Test

This test contains 15 MCQs on Arithmetic Mean of Grouped Data 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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