214k views
5 votes
Find the variance and the standard deviation of the following set: 5,6,7,8,9 If necessary, round to the nearest hundredth.

User Alnedru
by
8.3k points

1 Answer

3 votes

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

User Jalal Sordo
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories