minimum value = 25 maximum value= 90 1st quartile Q₁ = 25 2nd quartile Q₂ = 50 3rd quartile Q3 = 75
minimum value = 25 maximum value= 90 1st quartile Q₁ = 25 2nd quartile Q₂ = 50 3rd quartile Q3 = 75
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
Draw a box plot for the data set with the statistics in the picture

Transcribed Image Text:### Creating a Box Plot
To draw a box plot for the given data set, use the following statistics:
- **Minimum value:** 25
- **Maximum value:** 90
- **1st quartile (Q1):** 25
- **2nd quartile (Q2 or Median):** 50
- **3rd quartile (Q3):** 75
### Explanation:
1. **Box Plot Components:**
- The left whisker starts at the minimum value (25).
- The box begins at Q1 (25), covers the interquartile range, and ends at Q3 (75).
- The line inside the box marks the median (Q2), which is 50.
- The right whisker extends from Q3 (75) to the maximum value (90).
2. **Interpreting the Box Plot:**
- The box plot visualizes the distribution of the data set.
- The equal values of the minimum and Q1 indicate that the lower 25% of data points are clustered at 25.
- The median (50) is closer to Q1, indicating a left-skewed distribution.
- The range between Q1 and Q3 (the interquartile range) is 50, highlighting the middle 50% of the data.
This box plot provides a quick graphical summary of the data through its spread and variations.
Expert Solution

Step 1: given information
Minimum value=25
1st quartile Q1=25
2nd quartile Q2=50
3rd quartile Q3=75
Maximum value=90
Step by step
Solved in 3 steps with 2 images

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