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.
Symmetric distributions are those in which the data occurs in regular frequencies.
If we calculate the difference between the two standard deviations we find that it is only 0.022 which may be due to the physical or chemical properties of water or salt. So it lies within the same range and is almost symmetrical.
We cannot say that the distributions do not overlap on the same range of temperatures because they lie within the same range.
These two options are also incorrect as they are totally opposite of each other. Suppose the distribution of salt water boiling temperatures is left-skewed then the distribution of tap water boiling temperatures cannot be right-skewed as they have the same range and vice versa.
