We cannot approximate (/determine) the value of the following from a box plot: the variance O the range the inter quartile range (IQR)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Quiz Question**

*Topic: Box Plots and Data Interpretation*

Question: We cannot approximate (determine) the value of the following from a box plot:

- The variance
- The range
- The interquartile range (IQR)
- The median

**Educational Explanation:** 

A box plot, also known as a whisker diagram, is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. It can help visualize the spread and skewness of the data.

- **Variance:** A measure of how much the data points differ from the mean of the data set. It requires more information than just the summary statistics displayed in a box plot.
- **Range:** The difference between the maximum and minimum values. Easily visible in a box plot.
- **Interquartile Range (IQR):** The difference between the third quartile (Q3) and the first quartile (Q1), representing the middle 50% of the data. Clearly depicted in a box plot.
- **Median:** The middle value of the data set, shown as a line within the box on a box plot.
Transcribed Image Text:**Quiz Question** *Topic: Box Plots and Data Interpretation* Question: We cannot approximate (determine) the value of the following from a box plot: - The variance - The range - The interquartile range (IQR) - The median **Educational Explanation:** A box plot, also known as a whisker diagram, is a standardized way of displaying the distribution of data based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum. It can help visualize the spread and skewness of the data. - **Variance:** A measure of how much the data points differ from the mean of the data set. It requires more information than just the summary statistics displayed in a box plot. - **Range:** The difference between the maximum and minimum values. Easily visible in a box plot. - **Interquartile Range (IQR):** The difference between the third quartile (Q3) and the first quartile (Q1), representing the middle 50% of the data. Clearly depicted in a box plot. - **Median:** The middle value of the data set, shown as a line within the box on a box plot.
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