Lesson Example Discussion Quiz: Class Homework |
Step-5 |
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 the interquartile range of these quiz scores 10.5,2.3,0.25,1.2,4.7,8.9,12.3,9.3,5.6,11.2,14.3 |
|
2 |
Step |
Arrange the numbers in ascending order |
0.25,1.2,2.3,4.7,5.6,8.9,9.3,10.5,11.2,12.3,14. |
3 |
Step |
Divide the data to identify quartiles |
0.25,1.2,2.3,4.7,5.6,\$8.9\$ → first half |
4 |
Step |
Identify the \$Q_1\$ from first half |
\$Q_1\$=\$(2.3+4.7)/2\$=\$7/2\$=3.5 |
5 |
Step |
Identify the \$Q_3\$ from second half |
\$Q_3\$=\$(10.5+11.2)/2\$=\$21.7/2\$=10.85 |
6 |
Formula: |
IQR = \$Q_3 -Q_1\$ |
|
7 |
Step |
Substitute the above values and solve |
10.85 - 3.5 = 7.35 |
8 |
Answer |
D = 7.35 |
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Tutor: Questions
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