Chapter 10.3, Problem 18HP

To determine

To find data set with same standard deviation and variance

Answer to Problem 18HP

Data set is {10, 10, 10, 10}

Explanation of Solution

Given information:

Standard deviation=variance

Calculation:

When data set having same values, the mean will be same, (difference) 2 will be 0, sum of the square of difference will be 0. Hence, variance=0 and standard deviation=0

Let data set be {10, 10, 10, 10}

Mean=10

(Difference) 2 of all terms= 0

Sum of (Difference) 2=0

Variance=0

Standard deviation=0

Variance=standard deviation at dataset= {10,10, 10, 10}