# 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.

**☛ Related Questions:**

- The median of any data lies between the _________ and _________ observations. Fill in the blanks to . . . .
- Median is one of the observations in the data if number of observations is _________. Fill in the bl . . . .
- Rohit collected the data regarding weights of students of his class and prepared the following table . . . .

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