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QUESTION IMAGE

the histogram shows the number of morning customers who visited north c…

Question

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

Explanation:

Step1: Determine the measure of center

When comparing two distributions, the median is often a good measure of center for skewed distributions. Looking at the histogram, if the data is not symmetric (which is likely as it's a histogram of customer visits), the median is more robust to outliers than the mean.

Step2: Determine the measure of variation

For comparing the spread (variation) of two distributions, the inter - quartile range (IQR) is a good measure. It is less affected by extreme values compared to the range.

Answer:

The best measure of center for comparing the number of visitors to the 2 restaurants is the median. The best measure of variation for comparing the distribution of the number of visitors to the 2 restaurants is the inter - quartile range (IQR). These are the best measures because both distributions are likely skewed (from the nature of a histogram of customer visits, which may have some days with very high or low visits).