Step-4

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

Alen has scored percentages in various subjects.Find the interquartile range 90,75,65,85,45,55,95

2

Step

Arrange the numbers in ascending order

45,55,65,75,85,90,95

3

Step

Divide the data to identify quartiles

45,55,65,\$75\$ → first half
\$75\$,85,90,95 → second half

4

Step

Identify the \$Q_1\$ from first half

\$Q_1\$=\$(55+65)/2\$=\$115/2\$=27.5

5

Step

Identify the \$Q_3\$ from second half

\$Q_3\$=\$(85+90)/2\$=\$175/2\$=87.5

6

Formula:

IQR = \$Q_3 -Q_1\$

7

Step

Substitute the above values and solve

87.5 - 27.5 = 60

8

Answer

B = 60

Tutor: Questions

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1

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2

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3

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