Question

When analyzing data on the number of employees in small companies in one​ town, a researcher took square roots of the counts. Some of the resulting​ values, which are reasonably​ symmetric, were 4​, 5​, 5​, 7​, 7​, 8​, and 11.
What were the original​ values, and how are they​ distributed?

Answer 1

Answer:

The original​ values are : 16, 25, 25, 49, 49, 64, 121.

Step-by-step explanation:

We know that  a researcher took square roots of the counts. Some of the resulting​ values, which are reasonably​ symmetric, were 4​, 5​, 5​, 7​, 7​, 8​, and 11.  We calculate the original​ values:

$4^2=16\\5^2=25\\5^2=25\\7^2=49\\7^2=49\\8^2=64\\11^2=121$

The original​ values are : 16, 25, 25, 49, 49, 64, 121.

We conclude that the  original data is not simmetric.