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:

Standard - deviation is a good measure of variability for symmetric distributions as it takes into account the spread around the mean. When distributions are symmetric, the mean is a good central - tendency measure and standard deviation provides useful information about how data is dispersed. For skewed distributions, other measures like the inter - quartile range may be more appropriate.

Answer:

A. The two distributions are each nearly symmetric