Grade 8 Box Plots Worksheet

This worksheet helps 8th-grade students understand and interpret box plots, including identifying key features like median, quartiles, and outliers.

Grade 8 Math Data and GraphingGraphing DataBox Plots

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Includes

TextMultiple ChoiceFill in the Blanks3 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.7.SP.B.4CCSS.MATH.CONTENT.6.SP.B.5.C

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Box Plots: Understanding Data Distribution

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Date:

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Read each question carefully and answer to the best of your ability. Show all your work where applicable.

A box plot (also known as a box-and-whisker plot) is a standardized way of displaying the distribution of data based on a five-number summary: the minimum, first quartile (Q1), median, third quartile (Q3), and maximum. It can tell you about your outliers and what their values are. It can also tell you if your data is symmetrical, how tightly your data is grouped, and if and how your data is skewed.

1. What are the five numbers that summarize data in a box plot?

Mean, Median, Mode, Range, Outlier

Minimum, Maximum, Mean, Median, Mode

Minimum, First Quartile, Median, Third Quartile, Maximum

First Quartile, Second Quartile, Third Quartile, Interquartile Range, Outlier

2. What does the median represent in a box plot?

The average of the data set

The middle value of the data set

The most frequent value in the data set

The spread of the data

3. The is the difference between the third quartile and the first quartile.

4. A box plot divides a data set into four equal parts, each representing of the data.

5. Consider the following data set: 10, 12, 15, 18, 20, 22, 25, 28, 30, 32, 35.

a) What is the median of this data set?

b) What is the first quartile (Q1)?

c) What is the third quartile (Q3)?

d) What is the interquartile range (IQR)?

6. The box plot below shows the number of minutes students spent studying for a math test.

a) What is the median study time?

b) What is the range of study times (excluding the outlier)?

c) What is the approximate value of the outlier?

7. The 'box' in a box plot represents the middle 50% of the data.

True

False

8. An outlier is always the minimum or maximum value in a data set.

True

False

9. Given the data set: 5, 8, 10, 12, 15, 18, 20, 22, 25.

Identify the five-number summary and draw a sketch of the box plot below. (You do not need to draw a perfectly scaled plot, just indicate the positions of the five-number summary).