The range of the data set is 57.
The interquartile range (IQR) of the data set is 29.
The difference between the medians of the post-test and pre-test scores is 12.
Range is the difference between the largest and smallest number is a data set. It is a measure of variation.
Range = largest number - smallest number
80 - 23 = 57
In order to determine the the interquartile range, divide the numbers in the data set into two equal halves
First half = 23, 27, 42, 45, 49
Second half = 53, 62, 71, 76, 80
The second step is to determine the median of each half. The median is the number that is in the middle of a dataset.
Median of the first half = 42
Median of the second half = 71
The interquartile range is the difference between the two medians
71 - 42 = 29
A box plot is used to study the distribution of a dataset. The median can be determined by tracing the line in the middle of box to the number line.
Median of the pre-test scores = 72
Median of the pre-test scores = 84
Difference = 84 - 72 = 12
To learn more about range, please check: https://brainly.com/question/23748991?referrer=searchResults
