The range, variance and standard deviation of the is :
- Range = 31.2
- Variance = 152.978
- Standard deviation = 12.368
Given the data :
39 37 35 27 19 16 13 9 8.6 7.8
Arranging in ascending order :
7.8, 8.6, 9, 13, 16, 19, 27, 35, 37, 39
Range = maximum - minimum values
Maximum value = 39
Minimum value = 7.8
Range = 39 - 7.8 = 31.2
The variance :
The variance : Σ(X - m)² / (n - 1)
m = mean
n = number of items
m = ΣX/ n = 211.4 / 10 = 21.4
Variance = [(39-21.14)^2 + (37-21.14)^2 + (35-21.14)^2 + (27-21.14)^2 + (19-21.14)^2 + (16-21.14)^2 + (13-21.14)^2 + (9-21.14)^2 + (8.6-21.14)^2 + (7.8-21.14)^2] / (10-1)
Variance = 1376.804 / 9
Variance = 152.978
Standard deviation = √variance
Standard deviation = √152.978
Standard deviation = 12.368
Learn more : brainly.com/question/15528814
