We want to identify the minimum, first quartile, median, third quartile, and maximum of the given data set. Then we will make a box-and-whisker plot using these values. Let's do these things one at a time.

Values

Quartiles are values that divide a data set into four equal parts. When quartiles are combined with the minimum and maximum values, it is often called the five-number summary of the data set.

The median, which can also be known as the second quartile $(Q_{2}),$ separates the data into upper and lower halves.
The first quartile $(Q_{1})$ is the median of the lower half of the data.
The third quartile $(Q_{3})$ is the median of the upper half of the data.

Let's identify the five-number summary of the given data set. Do not forget to arrange the data from least to greatest first!

The minimum and maximum values are $48$ and $256,$ respectively. The first quartile is $54$ and the third quartile is $188 .$ The median of the data is $100 .$

Box-and-Whisker Plot

We want to make a box-and-whisker plot using the obtained information.

Minimum : First Quartile : Median : Third Quartile : Maximum : 4854100188256

This type of graph summarizes a set of data by displaying it along a number line. It consists of three parts: a box and two whiskers.

The left whisker extends from the minimum to the first quartile.
The box extends from the first to the third quartile and has a vertical line through the median.
The right whisker extends from the third quartile to the maximum.

Let's make our box-and-whisker plot!

File Size (Megabytes)

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