Box Plots - Grade 11 Math

This worksheet focuses on understanding and interpreting box plots for Grade 11 students, covering concepts like median, quartiles, range, and outliers.

Grade 11 Math Data and GraphingGraphing DataBox Plots

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Text2 Short AnswerMultiple ChoiceTrue / FalseCustomMatching

Standards

CCSS.MATH.CONTENT.HSS.ID.A.1CCSS.MATH.CONTENT.HSS.ID.A.2CCSS.MATH.CONTENT.HSS.ID.A.3

Topics

mathgrade 11box plotsdata analysisstatistics

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Box Plots: Understanding Data Distribution

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

A box plot (also known as a box-and-whisker plot) displays the five-number summary of a set of data: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. It is a useful way to visualize the distribution of data and identify potential outliers.

1. Consider the following data set: 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38, 40. Calculate the five-number summary for this data set.

Minimum:

First Quartile (Q1):

Median (Q2):

Third Quartile (Q3):

Maximum:

2. What does the length of the box in a box plot represent?

The range of the data

The interquartile range (IQR)

The mean of the data

The mode of the data

3. A box plot can show the exact value of every data point in a set.

True

False

4. Given a data set with Q1 = 20, Q3 = 40, and an Interquartile Range (IQR) of 20. What is the upper fence for identifying outliers?

5. Draw a box plot for the following data set on the number line provided: 5, 8, 10, 12, 15, 18, 20, 22, 25, 28, 30.

Match each term with its correct definition.

1. Median

a. The middle value of the lower half of the data

2. Interquartile Range (IQR)

b. The middle value of the entire data set

3. First Quartile (Q1)

c. The difference between the third and first quartiles