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Outliers and IQR - Printable Mathematics Worksheets year 7 - Wayground

Outliers and IQR

16 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students focused practice with range, mean, median, quartiles, interquartile range (IQR), and outliers. Across 16 multiple-choice questions, students sort data, find the maximum and lower quartile, calculate measures of center and spread, apply the 1.5 IQR rule, identify outliers, determine a missing value from a range, and predict how removing an outlier affects the mean or median. The worksheet is designed to help students connect individual calculations to statistical reasoning. They must distinguish range from IQR, determine Q1 and Q3, recognize when a value falls outside the IQR fences, and interpret how an extreme value changes a distribution. It is a free printable worksheet for Grade 7 math instruction, independent practice, review, or assessment, and it includes a complete answer key for efficient checking.

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Worksheets

Outliers and IQR

Total questions: 16

Name
Class
Date
1.

Find the range of the data.

16, 28, 6, 19, 21, 15, 22, 33, 17

a)

18

b)

27

c)

30

d)

12

2.

Find the median, first quartile, third quartile, and interquartile range of the data.

203, 183, 212, 181, 157, 204, 189, 190

a)

Median: 189

First Quartile: 182

Third Quartile: 203

IQR: 21

b)

Median: 189.5

First Quartile: 182

Third Quartile: 203

IQR: 21

c)

Median: 189

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

d)

Median: 189.5

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

3.

Use the interquartile range to identify any outliers in the following data.

23, 22, 25, 16, 27, 43, 29, 40, 35

a)

No outliers.

b)

43 is an outlier.

4.

Use the interquartile range to identify any outliers in the following data.

52, 63, 55, 56, 62, 54, 59, 60, 53, 61, 88

a)

No outliers.

b)

88 is an outlier.

5.

The table shows the ages of automobiles in the parking lot. The range of the ages is 12 years. Find the missing age.

a)

12

b)

13

c)

14

d)

15

6.
The data set below has an outlier of 42.
2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42
What effect does removing the outlier have on the distribution of the data?
a)
The mean will decrease
b)
The median will decrease
c)
The mean will increase
d)
The median will increase
7.
Using the information below, identify which of the following is NOT an outlier:
Q1 = 53
Q2 = 55
Q3=61
a)
73
b)
40
c)
80
d)
73.5
8.
Find the Maximum of the following numbers:
84, 88, 72, 74, 98, 16, 94 
a)
16
b)
98
c)
84
d)
There is no maximum.
9.
Find the Lower Quartile of the following numbers:
84, 88, 72, 74, 98, 16, 94 
a)
72
b)
88
c)
94
d)
There is no Lower Quartile.
10.
Find the Mean of the following numbers:
84, 88, 72, 74, 98, 16, 94 
(Round to the nearest tenth.)
a)
75.1
b)
84.5
c)
16.0
d)
There is no Mean.
11.
Find the IQR of the following numbers:
84, 88, 72, 74, 98, 16, 94 
a)
78
b)
12
c)
16
d)
There is no IQR.
12.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
13.
Find the IQR of the following numbers:
84, 88, 72, 74, 98, 16, 94 
a)
78
b)
22
c)
16
d)
There is no IQR.
14.
Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:
84, 88, 72, 74, 98, 16, 94 
a)
Yes, 16 is an outlier.
b)
Yes, 33 is an outlier.
c)
Yes, 98 is an outlier.
d)
There are no numbers less than 39 or greater than 124, therefore there are no outliers.
15.
What is the Q1 of this data set?
6, 7, 2, 1, 5, 2, 1, 6
a)
1
b)
1.5
c)
2
d)
2.5
16.

Mario wants to his parents to think he is doing very well in math class. His tests this quarter are 62, 50, 90, 90, and 43. Which measure of central tendency should he report to them?

a)

mean

b)

median

c)

mode

d)

IQR

Answer Key

Outliers and IQR

Total questions: 16

1.
b)

27

2.
d)

Median: 189.5

First Quartile: 182

Third Quartile: 203.5

IQR: 21.5

3.
a)

No outliers.

4.
b)

88 is an outlier.

5.
b)

13

6.
a) The mean will decrease
7.
a) 73
8.
b) 98
9.
a) 72
10.
a) 75.1
11.
b) 12
12.
a) True
13.
b) 22
14.
a) Yes, 16 is an outlier.
15.
b) 1.5
16.
c)

mode

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FAQs

What does the Outliers and IQR worksheet cover?

This Grade 7 math worksheet uses 16 multiple-choice questions to practice calculating range, mean, median, Q1, Q3, and IQR, then applying the 1.5 IQR rule to identify outliers. Students also interpret how removing an outlier affects the mean or median and solve a missing-value problem involving range.

How can I use this worksheet to teach quartiles, IQR, and outliers?

Introduce the worksheet by having students sort each data set before finding the median, Q1, and Q3. Model one IQR calculation and use the resulting lower and upper fences to discuss why a value such as 88 is an outlier in one set while 43 is not in another. Then assign the remaining multiple-choice items for guided practice, partner discussion, or independent review.

What mistakes should I watch for when students complete this worksheet?

Students may calculate the median or quartiles before sorting the data, confuse the range with the IQR, or select an extreme-looking value without checking the 1.5 IQR fences. Watch for errors in choosing Q1 and Q3 when a data set has an even number of values, rounding the mean incorrectly, and assuming that removing an outlier changes the median rather than the mean.

How do I assign and grade this worksheet?

The Outliers and IQR worksheet is available as a printable PDF and as a digital quiz on Wayground. It includes a complete answer key, and printable student work can be graded by scanning it with the Wayground for Teachers app. The PDF option also supports schools that want to reduce screen time.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the 16 multiple-choice items and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while students work through the quartile and outlier questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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