Math Problem Statement

The data set shows the number of homework assignments required in math classes for a month:

22

23

23

21

18

4

17

15

23

20

24

15

25

16

Which of the following statements is true based on the data set? (1 point)

There is one outlier that indicates an unusually large number of assignments required in that class.

There is one outlier that indicates an unusually small number of assignments required in that class.

There are two outliers that indicate an unusually large number of assignments required in those two classes.

There are two outliers that indicate an unusually small number of assignments required in those two classes.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Analysis
Outlier Detection
Interquartile Range (IQR)

Formulas

Interquartile Range (IQR) = Q3 - Q1
Lower Bound = Q1 - 1.5 × IQR
Upper Bound = Q3 + 1.5 × IQR

Theorems

Interquartile Range Theorem for Outlier Detection

Suitable Grade Level

Grades 6-8