Answer:
Step-by-step explanation:
The data is written wrongly. The correct data is:
42, 40, 38, 31, 22, 19, 17, 16, 15.9, 15.0
Range = largest value - smallest value
Range = 42 - 15 = 27
n = 10
The mean of the set of data given is
Mean = (42 + 40 + 38 + 31 + 22 + 19 + 17 + 16 + 15.9 + 15.0)/10 = 25.59
Standard deviation = √(summation(x - mean)²/n
Variance = Summation(x - mean)²/n =
Summation(x - mean)² = (42 - 25.59)^2 + (40 - 25.59)^2 + (38 - 25.59)^2 + (31 - 25.59)^2 + (22 - 25.59)^2 + (19 - 25.59)^2 + (17 - 25.59)^2 + (16 - 25.59)^2 + (15.9 - 25.59)^2 + (15.0 - 25.59)^2 = 1088.329
Variance = 1088.329/10 = 108.8329
Standard deviation = √variance = √(108.8329 = 10.43
