What is the interquartile range (QR) for the data set? 12, 14, 15, 18, 22, 24, 28, 31, 35 0 00 14.5 0 23 0 15 O 29.5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Question:**
What is the interquartile range (IQR) for the data set?

**Data Set:** 
12, 14, 15, 18, 22, 24, 28, 31, 35

**Options:**
- 14.5
- 23
- 15
- 29.5

**To solve:**
1. **Arrange the data set in ascending order:** Already arranged.
2. **Identify the median (Q2):** The middle number in the data set, which is 22.
3. **Find the lower quartile (Q1):** Median of the first half of the data (12, 14, 15, 18), which is 14.5.
4. **Find the upper quartile (Q3):** Median of the second half of the data (24, 28, 31, 35), which is 29.5.
5. **Calculate the IQR:** IQR = Q3 - Q1 = 29.5 - 14.5 = 15.

**Correct Answer:**
- 15
Transcribed Image Text:**Question:** What is the interquartile range (IQR) for the data set? **Data Set:** 12, 14, 15, 18, 22, 24, 28, 31, 35 **Options:** - 14.5 - 23 - 15 - 29.5 **To solve:** 1. **Arrange the data set in ascending order:** Already arranged. 2. **Identify the median (Q2):** The middle number in the data set, which is 22. 3. **Find the lower quartile (Q1):** Median of the first half of the data (12, 14, 15, 18), which is 14.5. 4. **Find the upper quartile (Q3):** Median of the second half of the data (24, 28, 31, 35), which is 29.5. 5. **Calculate the IQR:** IQR = Q3 - Q1 = 29.5 - 14.5 = 15. **Correct Answer:** - 15
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