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:

The standard - deviation is the best measure of variability for symmetric distributions. Looking at the histogram, the two distributions of tap water and salt water boiling temperatures appear to be nearly symmetric. For non - symmetric (skewed) distributions, other measures like the inter - quartile range are more appropriate. Since the distributions are nearly symmetric, standard deviation is a good choice.

Answer:

The two distributions are each nearly symmetric.