Step-3

Title: Measures of variation-Interquartile range

Grade: 9-a Lesson: S1-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Step Type Explanation Answer

1

Problem

Find out the interquartile range for number on the pages 12,48,56,89,15,36,2

2

Step

Arrange the numbers in ascending order

2,12,15,36,48,56,89

3

Step

Divide the data to identify quartiles

2,12,15,\$36\$ → first half
\$36\$,48,56,89 → second half

4

Step

Identify the \$Q_1\$ from first half

\$Q_1\$=\$(12+15)/2\$=\$37/2\$=18.5

5

Step

Identify the \$Q_3\$ from second half

\$Q_3\$=\$(48+56)/2\$=\$104/2\$=52

6

Formula:

IQR = \$Q_3 -Q_1\$

7

Step

Substitute the above values and solve

52 - 18.5 = 33.5

8

Answer

B = 33.5

Tutor: Questions

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1

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2

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3

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