Question

determining the best measures for comparing distributions
the histogram shows the number of morning customers who visited north cafe and south cafe over a one - month period.
what is the best measure of center for comparing the number of visitors to the 2 restaurants?
what is the best measure of variation for comparing the distribution of the number of visitors to the 2 restaurants?
these are the best measures because both distributions are
restaurant customers
north south
0 1 2 3 4 5 6 7
instances
30 35 40 45 50 55 60 65 70 75 80 85 90
number of morning customers
skewed left
skewed right
symmetric

Explanation:

Step1: Identify distribution shape

By observing the histogram, we can see that both distributions are skewed. When distributions are skewed, the median is a better measure of center than the mean as the mean can be affected by outliers. The inter - quartile range (IQR) is a better measure of variation for skewed distributions as it is not affected by extreme values.

Step2: Determine measures

The best measure of center for skewed distributions is the median. The best measure of variation for skewed distributions is the inter - quartile range (IQR).

Answer:

What is the best measure of center for comparing the number of visitors to the 2 restaurants? Median
What is the best measure of variation for comparing the distribution of the number of visitors to the 2 restaurants? Inter - quartile range (IQR)
These are the best measures because both distributions are skewed right (assuming from the general shape of the histograms where the tail is on the right side).