The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy, or New York, New York: Maximum Minimum Q1 Q3 IQR Median Mean σ
Rome 16 0 3 13 10 8.5 8 5.4
New York 20 1 4.5 6 1.5 5.5 7.25 5.4

Which of the choices below best describes how to measure the center of these data?

The choice that best describes the center of the data is the median.

Description of median

Median is a measure of central tendency. Median can be defined as the number that occurs in the center of a set of numbers that are arranged either in ascending or descending order.

For example, the median in these set of numbers; 100, 150, 200, 220, 250 is 200. This is because 200 is at the center of the data.

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Both centres are best described by the median.

Step-by-step explanation:

Here is a summary of the statistics from your data.

City      Min    Q1   IQR     Q3     Max     Median   Mean    σ    

Rome      0     3.60  8.65  12.25     16         8.25       7.99     5.20

NY           1      2.25  4.69   6.64     20        5.45       6.39     5.91

The box plots below show that both centres are best described by the median.

The outlier in the New York data greatly distorts the mean but does not affect the median. The mean without the outlier would have been 4.45.

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step-by-step explanation:

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