Find the value of $$\sqrt{2k + 11}$$​, where k is average of 16, 25, 13, 26 and 15.

Correct option is C

Given:
Find the value of $$\sqrt{2k + 11}$$​, where k is the average of 16, 25, 13, 26, and 15.
Formula Used:
​$$\text{Average} = \frac{\text{Sum of observations}}{\text{Number of observations}}$$​​
Solution:
Calculate the average value of the numbers.
​$$k = \frac{16 + 25 + 13 + 26 + 15}{5} \\k = \frac{95}{5} = 19$$​​
Substitute k into the expression.$$\sqrt {2k+11}$$​​
​$$\sqrt{2 \times 19 + 11} = \sqrt{38 + 11} = \sqrt{49} = 7$$​​
The value of $$\sqrt {2k+11}$$​ is 7.