Question

the histogram represents the distributions of boiling temperatures, in degrees celsius, of tap water and a mixture of salt water. the standard deviation of the tap water data is 1.129. the standard deviation of the salt water data is 1.107. which explains why the standard deviation is the best measure of variability to use to compare the data? the two distributions are each nearly symmetric. the distributions do not overlap on the same range of temperatures. the distribution of salt water boiling temperatures is left - skewed. the distribution of tap water boiling temperatures is right - skewed.

Explanation:

Step1: Recall standard - deviation use

Standard deviation is best for symmetric data.

Step2: Analyze the histograms

The histograms of tap - water and salt - water boiling temperatures appear nearly symmetric. So, standard deviation is a good measure of variability.

Answer:

A. The two distributions are each nearly symmetric