tori is getting ready to run a marathon. she kept track of the lengths of her last few training runs…

tori is getting ready to run a marathon. she kept track of the lengths of her last few training runs. training runs (mi.) 11 8 15 16 8 20 16 12 6 13 7 which box plot represents the data? training runs (mi.) training runs (mi.)

tori is getting ready to run a marathon. she kept track of the lengths of her last few training runs. training runs (mi.) 11 8 15 16 8 20 16 12 6 13 7 which box plot represents the data? training runs (mi.) training runs (mi.)

Answer

Explanation:

Step1: Arrange data in ascending order

6, 7, 8, 8, 11, 12, 13, 15, 16, 16, 20

Step2: Find the minimum value

The minimum value is 6.

Step3: Find the first - quartile (Q1)

There are 11 data points. The position of Q1 is $\frac{11 + 1}{4}=3$. So Q1 is the 3rd value in the ordered data set, which is 8.

Step4: Find the median (Q2)

The position of the median is $\frac{11+1}{2}=6$. So the median is 12.

Step5: Find the third - quartile (Q3)

The position of Q3 is $\frac{3(11 + 1)}{4}=9$. So Q3 is the 9th value in the ordered data set, which is 16.

Step6: Find the maximum value

The maximum value is 20.

A box - plot has a box from Q1 to Q3 with a line at the median, and whiskers from the box to the minimum and maximum values. The box - plot with a box from 8 to 16, a line at 12, and whiskers to 6 and 20 is the correct one.

Answer:

The box - plot with the box starting at 8, ending at 16, the line inside the box at 12, and whiskers extending to 6 and 20.