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.
restaurant customers
north
south
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

Explanation:

Step1: Analyze the data distribution

When comparing the number of customers (center) for two restaurants, the median is a good measure as it is not affected by extreme values. For variation, the inter - quartile range (IQR) is suitable as it shows the spread of the middle 50% of the data.

Step2: Justify the choice

The distributions are skewed (from the histogram shape). Mean is affected by outliers (skewed data), so median is better for center. Range is affected by extreme values, so IQR (which is based on quartiles) is better for variation.

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.
These are the best measures because both distributions are skewed.