Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Measures of variation-Interquartile range |
Grade: 9-a Lesson: S1-L8 |
Explanation: The best way to understand statistics is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
Find out the interquartile range for the given observations 2,22,4,20,6,18,8,16,10,14,12
Step 1a
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Arrange the data in ascending order |
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Explanation: Let us arrange the given observations in ascending order i.e, 2,4,6,8,10,12,14,16,18,20,22 |
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Step 1b
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Find out the median |
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Explanation: median = 12 2,4,6,8,10,\$12\$ → first half \$12\$,14,16,18,20,22 → second half |
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Step 1c
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Calculate the IQR. |
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Explanation: \$Q_1\$=\$(6+8)/2\$=\$14/2\$=7 \$Q_3\$=\$(16+18)/2\$=\$34/2\$=17 IQR = \$Q_3 -Q_1\$ = 17-7 = 10 |
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