Compute the standard deviation for the set of data.

2,5, 6, 8, 14

4.

Step-by-step explanation:

First work out the mean:

Mean = (2 + 5 + 6 + 8 + 14) / 5

= 35/5 = 7.

Now subtract the mean form each of the values:

2 - 7 = - 5

5 - 7 = - 2

6 - 7 = - 1

8 - 7 = 1

7 - 14 = - 7.

The squares of these are 25, 4, 1, 1, 49

Their sum = 25 + 4 + 1 + 1 + 49 = 80

Now divide this by 5 = 16.

Standard deviation is √16 = 4.