Lesson Example Discussion Quiz: Class Homework |
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 |
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1 |
Problem |
Alen has scored percentages in various subjects.Find the interquartile range 90,75,65,85,45,55,95 |
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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 |
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\$ |
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7 |
Step |
Substitute the above values and solve |
87.5 - 27.5 = 60 |
8 |
Answer |
B = 60 |
Tutor: Questions
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