Question

If the mean of 6, 7, x, 8, y, 14 is 9, then ______.

Options

•  x + y = 21

• x + y = 19

• x − y = 19

• x − y = 21

Answer 1

If the mean of 6, 7, x, 8, y, 14 is 9, then x + y = 19.

Explanation:

The given observations are 6, 7, x, 8, y, 14.

Mean = 9    ...(Given)

\[\Rightarrow \frac{6 + 7 + x + 8 + y + 14}{6} = 9\]

\[\Rightarrow 35 + x + y = 54\]

\[\Rightarrow x + y = 54 - 35 = 19\]