Answer:
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.
