Find the standard deviation of the words per page. 10 15 8 16 14 12 9 12 14 10

Standard deviation = 2.569

Step-by-step explanation:

The mean = (10 + 15 + 8 + 16 + 14 + 12 + 9 + 12 + 14 + 10) : 10 = 12

x - mean = - 2, 3, - 4, 4, 2, 0, - 3, 0, 2, - 2

(x - mean) ² = 4, 9, 16, 16, 4, 0, 9, 0, 4, 4

Σ (x - mean) ² = 4 + 9 + 16 + 16 + 4 + 0 + 9 + 0 + 4 + 4 = 66

Standard deviation = √ (66/10) = 2.569

standard deviation = 2.56.

Step-by-step explanation:

We have to find the standard deviation of:

10, 15, 8,16, 14, 12, 9,12, 14, 10

The formula to find standard deviation is:

S. D = ∑ (x-mean) ² / n where n is total number of values.

The mean is the sum of total values divided by the number of values.

The mean = (10 + 15+8 + 16+14 + 12 + 9+12 + 14 + 10) / 10 = 12

(x - mean) = - 2, 3,-4, 4, 2, 0, - 3, 0, 2, - 2.

(x - mean) ² = 4, 9,16, 16, 4, 0, 9, 0, 4, 4.

∑ (x - mean) ² = 4+9+16 + 16+4 + 0 + 9+0 + 4 + 4 = 6

n = 10

Putting values in formula, we have

standard deviation = √66/10

S. D = 2.56 which is the answer.