if the average number of textbooks in professors' offices is 16, the standard deviation is 5, and the average age of the professors is 43,with a standard deviation of 8 ,which data set is more variable ?

Textbooks in Professors’ Offices If the average

number of textbooks in professors’ offices is 16, the
standard deviation is 5, and the average age of the
professors is 43, with a standard deviation of 8, which
data set is more variable?

The Textbooks are more variable because of this solution

5 ÷ 16 = .3145
and
8 ÷ 43 = .1860
You look at the bigger number and with this it seems to be .3145 which are the textbooks

To determine which data set is more variable, we need to compare the standard deviations of the two sets.

The standard deviation measures the amount of variation or spread in a data set. A higher standard deviation indicates a wider spread of values, suggesting more variability.

In this case, we have two data sets to compare:
1. Textbook count: Average = 16, Standard deviation = 5
2. Age of professors: Average = 43, Standard deviation = 8

Comparing the standard deviations, we see that the standard deviation of the textbook count data set is 5, while the standard deviation of the age of professors data set is 8.

Since 8 is larger than 5, the data set for the age of professors is more variable compared to the textbook count data set.

Since the standard deviation is the measure of variability, which do you think is more variable?