Describe and correct the error in finding the quartiles of the given data set:23, 16, 12, 20, 19, 24, 15 **Statistical Data Summary**- **Median = 20**: The median is the middle value of a data set when it is ordered from least to greatest. In this case, the middle value is 20.- **Lower Quartile = 16**: The lower quartile (Q1) represents the median of the lower half of the data set, indicating that 25% of the data falls below this point, with a value of 16.- **Upper Quartile = 24**: The upper quartile (Q3) represents the median of the upper half of the data set, indicating that 25% of the data falls above this point, with a value of 24.The large red "X" symbol may indicate an error or a point of emphasis, suggesting that there is something noteworthy or incorrect about this data set.

Answered: Describe and correct the error in…

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

Describe and correct the error in finding the quartiles of the given data set:
23, 16, 12, 20, 19, 24, 15

**Statistical Data Summary**

- **Median = 20**: The median is the middle value of a data set when it is ordered from least to greatest. In this case, the middle value is 20.

- **Lower Quartile = 16**: The lower quartile (Q1) represents the median of the lower half of the data set, indicating that 25% of the data falls below this point, with a value of 16.

- **Upper Quartile = 24**: The upper quartile (Q3) represents the median of the upper half of the data set, indicating that 25% of the data falls above this point, with a value of 24.

The large red "X" symbol may indicate an error or a point of emphasis, suggesting that there is something noteworthy or incorrect about this data set.

Expert Solution

Step 1

The median is middle value of the observations, above or below which 50% of the observations lie.

The first quartile (Q₁) is a value below which 25% of the observations lies and above which 75% of the observations lie. Similarly, the third quartile (Q₃) is the value below which the 75% of the observations lie and above which the 25% of the observations lie.