Question

Based upon the shape of the histograms, what measure of center and measure of spread should be used when comparing the two distributions?

a) Mean and Interquartile Range
b) Mean and Standard Deviation
c) Median and Interquartile Range
d) Median and Standard Deviation

Answer 1

The most appropriate measure of center in this case is the median, and the most appropriate measure of spread is the interquartile range (IQR).

Step-by-step explanation:

The most appropriate measure of center in this case is the median, and the most appropriate measure of spread is the interquartile range (IQR).

To determine the shape of the data and choose the appropriate measures, you need to examine the histograms. If the histograms are skewed or have outliers, using the mean and standard deviation may not accurately represent the data. In such cases, the median and IQR provide a more robust measure of center and spread, as they are not affected by extreme values.