Question

Find the arithmetic mean of 8,4,6,x2,7is5,find the value ofx.

Answer 1

Answer:

3

Step-by-step explanation:

Given terms: 8, 4, 6, x, 2, 7

No. of terms = 6

Sum of terms = 8 + 4 + x + 2 + 7 = 27+x

By formula, mean = (27+x)/6

But, given mean is 5.

Thus, 27+x = 30

or, x = 30 - 27 = 3

Thus, the value of x is 3.

Answer 2

Mean is the average value in a given set of data.

Given: The data and that the mean is 5.

To find: The value of x.

Answer:

Data: 8, 4, 6, x, 2 and 7.

Number of observations: 6.

Sum of the observations: 8 + 4 + 6 + x + 2 + 7 = 27 + x.

$\sf Mean = \frac{Sum\ of\ the\ observations}{Total\ number\ of\ observations}\\\\5 = \frac{27\ +\ x}{6} \\\\5 \times 6 = 27\ +\ x\\\\30 = 27\ +\ x\\\\x = 30 - 27\\\\x = 3$