The table shows the distances in miles from Boston to various towns in Massachusetts. Select the five-number summary that matches the data

To identify the correct five-number summary that matches the data, we should look for a set that has consistent progression from minimum to maximum, while also reflecting a logical arrangement for the quartiles and median.

The five-number summary consists of:

1. Minimum – the smallest value in the dataset.
2. First Quartile (Q1) – the median of the first half of the data.
3. Median (Q2) – the middle value when data is ordered.
4. Third Quartile (Q3) – the median of the second half of the data.
5. Maximum – the largest value in the dataset.

Based on the provided options, the only summary that appears to have a logical order is:

Minimum 6, First Quartile 13, Median 22, Third Quartile 30, Maximum 47.

This option has the values arranged logically according to their definitions.

Therefore, the correct five-number summary is:

Minimum 6, First Quartile 13, Median 22, Third Quartile 30, Maximum 47.

If you need further assistance or a deeper dive into quartiles, feel free to check the extended services page!