Question

which measure would be the most appropriate to describe the center of the data in the histogram below? daily high temperatures high temperatures mean range median interquartile range

Explanation:

Step1: Understand the measures

The mean is the average of all data - points. The range is the difference between the maximum and minimum values. The median is the middle - value when data is ordered. The inter - quartile range is the range of the middle 50% of the data. We want a measure of the center.

Step2: Analyze the histogram

The histogram is somewhat symmetric around the 65 - 69 interval. For symmetric data, the mean and median are both good measures of the center. But the mean is more affected by outliers (if any). Since we have no indication of outliers and for a symmetric distribution, the mean is a good measure to describe the center of the data.

Answer:

mean