Five-Number Summary Lesson

Five Number Summary of Data

Prep for Box-And-Whisker Plots

Part 1 Find the Median (the Middle)

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Five Number Summary

Problem #1

{33, 33, 33, 36, 42, 43, 44, 49, 49, 50, 52, 53}

What is the minimum?

{33, 33, 33, 36, 42, 43, 44, 49, 49, 50, 52, 53}

What is the maximum?

Median

The median is the middle.

Since there were an even number of numbers, we had to average the two middle numbers to get the median. (Red)

Lower Quartile

The lower quartile is the middle of the bottom half of the data set. (Purple)

Upper Quartile

The upper quartile is the middle of the upper half of the data. (Green)

Interquartile Range (IQR)

Multiple Choice

Consider the following set of data (12 numbers):

{33, 33, 33, 36, 42, 43, 44, 49, 49, 50, 52, 53}

Which of the following is the correct box-and-whisker plot?

Five Number Summary

Problem #2

{4, 4, 4, 8, 9, 9, 13, 13, 13, 18, 20, 21, 22, 24, 27, 27}

What is the minimum?

{4, 4, 4, 8, 9, 9, 13, 13, 13, 18, 20, 21, 22, 24, 27, 27}

What is the maximum?

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Median

The median is the number in the middle (OR the average of the two numbers in the middle.)

Lower Quartile

The lower quartile is the middle of the lower half of the data.

Upper Quartile

The upper quartile is the middle of the upper half of the data.

Interquartile Range

Multiple Choice

Consider the following set of data (16 numbers):

{4, 4, 4, 8, 9, 9, 13, 13, 13, 18, 20, 21, 22, 24, 27, 27}

Which of the following is the correct box-and-whisker plot?

Hopefully, you are ready to tackle this topic in ALEKs now!

If you have any questions or concerns, talk to your teacher.