QUESTION IMAGE
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
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.
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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).