Representing Outliers in a Boxplot Using Quartiles

Representing Outliers in a Boxplot Using Quartiles

Assessment

Interactive Video

Mathematics, Social Studies

1st - 6th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

This video tutorial explains how to represent outliers in a boxplot by understanding quartiles and the interquartile range (IQR). It covers the five-number summary of a boxplot, how to calculate outliers using quartiles and IQR, and provides a practical example using student data. The tutorial also demonstrates how to adjust a boxplot to show outliers and interpret the differences between boxplots with and without outliers.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the five-number summary in a boxplot?

Mean, median, mode, range, standard deviation

Minimum, first quartile, median, third quartile, maximum

First quartile, second quartile, third quartile, mean, maximum

Minimum, mean, median, mode, maximum

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the interquartile range?

Maximum minus Minimum

Median minus Mean

Quartile 3 minus Quartile 1

Quartile 1 minus Quartile 3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is used to find outliers below the first quartile?

Quartile 3 minus 1.5 times interquartile range

Quartile 1 minus 1.5 times interquartile range

Quartile 1 plus 1.5 times interquartile range

Quartile 3 plus 1.5 times interquartile range

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example of students' social media usage, what were the outliers below the median?

15, 19, and 22

6, 15.5, and 19

0, 0, and 3

22, 30, and 53

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new lower endpoint of the whisker after adjusting for outliers in the example?

0

6

15.5

3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a boxplot with outliers differ from a basic boxplot?

It highlights outliers and provides a more detailed view of data distribution.

It does not include any data points outside the whiskers.

It only shows the median and ignores other quartiles.

It shows a symmetric distribution without any tails.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the presence of outliers in a boxplot indicate?

A perfectly symmetric distribution

A need to recalculate the median

Data points that are significantly different from the rest

An error in data collection

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