Example

Title: Measures of variation-Interquartile range

Grade: 9-a Lesson: S2-L1

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 1,11,2,10,3,9,4,8,5,7,6

Step 1a

Arrange the data in ascending order

Explanation: Let us arrange the given observations in ascending order

i.e, 1,2,3,4,5,6,7,8,9,10,11.

Step 1b

Find out the median

Explanation: median = 6

1,2,3,4,5 → first half

7,8,9,10,11 → second half

Step 1c

Calculate the IQR.

Explanation: \$Q_1\$=\$3\$

\$Q_3\$=\$9\$

IQR = \$Q_3 -Q_1\$ = 9-3 = 6


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