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Test: Arithmetic Mean of Grouped Data - Class 10 MCQ


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15 Questions MCQ Test Mathematics (Maths) Class 10 - Test: Arithmetic Mean of Grouped Data

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Test: Arithmetic Mean of Grouped Data - Question 1

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 for Test: Arithmetic Mean of Grouped Data - 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

If the mean of the following data is 18.75, then the value of p is

 ​

Test: Arithmetic Mean of Grouped Data - Question 3

The mean of the following data is: 45, 35, 20, 15, 25, 40​

Test: Arithmetic Mean of Grouped Data - Question 4

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 for Test: Arithmetic Mean of Grouped Data - 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

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 for Test: Arithmetic Mean of Grouped Data - 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

The mean of first ten even natural numbers is​

Test: Arithmetic Mean of Grouped Data - Question 7

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

Which measure of central tendency takes in account all the data?​

Test: Arithmetic Mean of Grouped Data - Question 9

The mean () of a frequency distribution is 45. If the value of  = 20 then the value of   is:

Test: Arithmetic Mean of Grouped Data - Question 10

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

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

The mean of 1, 2, 3, 4 …n is given by

Detailed Solution for Test: Arithmetic Mean of Grouped Data - 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

The arithmetic mean of the following data is

Test: Arithmetic Mean of Grouped Data - Question 14

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

The mean of 15 numbers is 25. If each number is multiplied by 4, mean of the new numbers is

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