Q:

The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play. 29, 5, 26, 20, 23, 18, 17, 21, 28, 20 1. Order the values: 5, 17, 18, 20, 20, 21, 23, 26, 28, 29 2. Determine the median: = = 20.5 Calculate the measures of variability for the data set. The range is ___ touchdowns. The interquartile range is ____ touchdowns.

Accepted Solution

A:
Here are your measures of variability. The range is found by subtracting the highest and the lowest (29-5=24). To find the interquartile range, you will find the median of the lower half of the data and the median of the higher half of sta and subtract these 2 numbers. Here is your list. I have PUT PARENTHESES around the upper and lower quartiles: 5, 17, (18), 20, 20, 21, 23, (26), 28, 29. It is like finding the middle of the entire set of data and then finding the middle of each half. Subtract 26 and 18 to find the interquartile range of 8 touchdowns.