. 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
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**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.
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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