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If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is _________. Fill in the blanks to make the statement true.

Solution:

Given, if the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is _________.

We have to fill in the blanks to make the statement true.

The given data is 8, 4, x, 6, 2, 7

Mean of the data is 5

We know, Mean = sum of all observations / Number of observations

Sum of observations = 8 + 4 + x + 6 + 2 + 7

= 27 + x

Number of observations = 6

Now, 5 = (27 + x)/6

5(6) = 27 + x

30 = 27 + x

x = 30 - 27

x = 3

Therefore, the value of x is 3.

✦ Try This: If the arithmetic mean of 6, 3, x, 5, 1, 8 is 6, then the value of x is _________. Fill in the blanks to make the statement true

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 3

NCERT Exemplar Class 7 Maths Chapter 3 Problem 28

If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is _________. Fill in the blanks to make the statement true

Summary:

If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is 3.

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