Question

Compute the standard deviation for the set of data.
2,5, 6, 8, 14​

Answer 1

Answer:

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.