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

Transcribed Image Text:**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.
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