Question

5 from unit 1, lesson 2 the box plot represents the distribution of the number of points scored by a cross country team at 12 meets. a. if possible, find the mean. if not possible, explain why not. b. if possible, find the median. if not possible, explain why not. 34 c. did the cross country team ever score 30 points at a meet?

Explanation:

Step1: Recall mean - box plot info

A box - plot only shows the five - number summary (minimum, first quartile, median, third quartile, maximum). It does not give the individual data values. Since the mean is the sum of all data values divided by the number of data values, and we don't have individual data, we can't find the mean.

Step2: Identify median from box - plot

The line inside the box of a box - plot represents the median. Here, the line is at 34, so the median is 34.

Step3: Check if 30 is in the data range

The whiskers of the box - plot represent the range of the data (excluding outliers if any). The left - hand side of the box - plot starts at a value greater than 30. So the team never scored 30 points at a meet.

Answer:

a. Not possible. A box - plot does not provide individual data values needed to calculate the mean.
b. 34
c. No