Find (a) the range and (b) the standard deviation for the given sample

The range is the difference between the highest and lowest value:

Highest value: 85.63

Lowest value : 84.25

Range= 85.63-84.25 = 1.38

Standard deviation:

First, find the mean

Mean = sum of the values / number of values

M = (85.54+84.33+85.15+85.63+84.25+85.18+84.78+85.36+85.04) /9 = 85.03

For each value, subtract the mean and square the result:

85.54-85.03 = 0.51 = 0.51^2 = 0.26

84.33-85.03 = -0.7= 0.49

85.15-85.03 =0.12 = 0.014

85.63-85.03= 0.6 = 0.36

84.25-85.03=-0.78=0.61

85.18-85.03 = 0.15 = 0.02

84.78-85.03=-0.25=0.06

85.36-85.03=0.33 = 0.11

85.04-85.03=0.01 = 0.0001

Calculate the mean of the results ( add results and divide by 9)

1.9241/9=0.21

Square root of that value:

√0.21 = 0.46 (standard deviation)

£56

step-by-step explanation: