Question

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?

Answer 1

Answer:

34

Step-by-step explanation:

Answer 2

Answer:

Answer:

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.