. Find the five-number summary and the interquartile range for the given set of numbers, and then draw the box plot: 10, 11, 13, 14, 16, 17, 19, 20, 21, 23, 24
. Find the five-number summary and the interquartile range for the given set of numbers, and then draw the box plot: 10, 11, 13, 14, 16, 17, 19, 20, 21, 23, 24
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Problem Statement:**
Find the five-number summary and the interquartile range for the given set of numbers, and then draw the box plot:
10, 11, 13, 14, 16, 17, 19, 20, 21, 23, 24
**Explanation:**
- **Five-Number Summary:**
- **Minimum:** 10
- **First Quartile (Q1):** 13
- **Median (Q2):** 17
- **Third Quartile (Q3):** 21
- **Maximum:** 24
- **Interquartile Range (IQR):**
- IQR = Q3 - Q1 = 21 - 13 = 8
- **Box Plot:**
- A box plot visually represents the data distribution using the five-number summary.
- The plot includes:
- A box from Q1 to Q3 with a line at the median (Q2).
- Whiskers extending from the minimum to Q1 and from Q3 to the maximum.
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