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: Identify measure of center

When distributions are skewed, median is a better measure of center than mean as it is not affected by extreme values. Looking at the histogram, the distributions seem skewed. So, the median is the best measure of center.

Step2: Identify measure of variation

The inter - quartile range (IQR) is a good measure of variation for skewed distributions as it represents the middle 50% of the data and is not influenced by outliers. So, the IQR is the best measure of variation.

Step3: Reason for the choices

The distributions appear to be skewed (not symmetric) which makes median and IQR the appropriate measures as they are resistant to extreme values.

Answer:

Best measure of center: Median
Best measure of variation: Inter - quartile range (IQR)
Reason: Both distributions are skewed