Answer:
Explanation:
Calculate the mean: (5 + 6 + 7 + 8 + 9) / 5 = 7
Calculate the squared deviations from the mean for each data point:
(5 - 7)^2 = 4
(6 - 7)^2 = 1
(7 - 7)^2 = 0
(8 - 7)^2 = 1
(9 - 7)^2 = 4
Calculate the variance:
Sum the squared deviations: 4 + 1 + 0 + 1 + 4 = 10
Divide the sum by the number of data points (n-1): 10 / (5-1) = 2
Calculate the standard deviation:
Take the square root of the variance: √2 ≈ 1.41
Therefore, the variance of the set is 2.00 and the standard deviation is 1.41, both rounded to the nearest hundredthhundredth