Questions: CHALLENGE 22: Distributions UNIT 2 - CHALLENGE 2.2: Distributions and Measures of Ce following box-and-whisker plot shows the test scores for students in a math course. Test Scores for Math Course According to this box-and-whisker plot, the third quartile (Q3) value is a.) 35 b.) 11 c.) 15 d.) 23

CHALLENGE 22: Distributions
UNIT 2 - CHALLENGE 2.2: Distributions and Measures of Ce
following box-and-whisker plot shows the test scores for students in a math course.
Test Scores for Math Course

According to this box-and-whisker plot, the third quartile (Q3) value is
a.) 35
b.) 11
c.) 15
d.) 23

Transcript text: CHALLENGE 22: Distributions UNIT 2 - CHALLENGE 2.2: Distributions and Measures of Ce following box-and-whisker plot shows the test scores for students in a math course. Test Scores for Math Course According to this box-and-whisker plot, the third quartile (Q3) value is $\qquad$ a.) 35 b.) 11 c.) 15 d.) 23

Solution

Solution Steps

Step 1: Understand the Box-and-Whisker Plot

A box-and-whisker plot visually represents a dataset's distribution through five key values: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. The box extends from Q1 to Q3, with a line inside marking the median. The "whiskers" extend to the minimum and maximum values.

Step 2: Identify Q3 on the Plot

The third quartile (Q3) marks the 75th percentile of the data. On a box-and-whisker plot, it's represented by the right edge of the box.

Step 3: Find the Corresponding Value

The right edge of the box aligns with the value 23 on the number line.