Draw a box plot for the data set with the statistics in the picture ### Creating a Box PlotTo 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.

Answered: minimum value = 25 maximum value= 90…

Math

Statistics

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

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Question

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Draw a box plot for the data set with the statistics in the picture

### 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

1^st quartile Q1=25

2^nd quartile Q2=50

3^rd quartile Q3=75

Maximum value=90

Step by step

Solved in 3 steps with 2 images

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