Question

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

Explanation:

Step1: Analyze the data distribution

The histogram shows a symmetric distribution. For symmetric data distributions, the mean is a good measure of central tendency as it takes into account all data points and balances the values on either side of the center.

Step2: Evaluate other options

• Range: It measures the spread (difference between maximum and minimum values) of the data, not the center.
• Median: While the median is also a measure of central tendency, for symmetric data (where there is no skewness to pull the mean in one direction), the mean is more appropriate as it uses all data values in its calculation.
• Inter - quartile range: It measures the spread of the middle 50% of the data, not the center.

Answer:

mean