Questions: The accompanying box-and-whisker plot represents the scores earned on a math test. What statement is not true about the box and whisker plot shown? a. 75 represents the mean score b. 85 represents the 3rd quartile c. 100 represents the max score d. 55 represents the min score

The accompanying box-and-whisker plot represents the scores earned on a math test.
What statement is not true about the box and whisker plot shown?

a. 75 represents the mean score
b. 85 represents the 3rd quartile
c. 100 represents the max score
d. 55 represents the min score

Transcript text: The accompanying box-and-whisker plot represents the scores earned on a math test. What statement is not true about the box and whisker plot shown? a. 75 represents the mean score b. 85 represents the 3rd quartile c. 100 represents the max score d. 55 represents the min score

Solution

Solution Steps

Step 1: Understand the Box-and-Whisker Plot

A box-and-whisker plot displays the distribution of data based on a five-number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Step 2: Identify Key Points on the Plot

Minimum score: 55
First quartile (Q1): 70
Median (Q2): 75
Third quartile (Q3): 85
Maximum score: 95

Step 3: Evaluate Each Statement

a. 75 represents the mean score: This is not true. The box-and-whisker plot shows the median, not the mean.
b. 85 represents the 3rd quartile: This is true. The third quartile (Q3) is 85.
c. 100 represents the max score: This is not true. The maximum score is 95.
d. 55 represents the min score: This is true. The minimum score is 55.