Five Number Summary (Prep for Box-and-Whisker Plots)

Five Number Summary of Data

Prep for Box-And-Whisker Plots

Part 1 Find the Median (the Middle)

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Fill in the Blanks

Find the median of the following set of 11 numbers.

{55, 55, 55, 58, 62, 64, 71, 73, 82, 89, 90}

Fill in the Blanks

Find the median of the following set of 17 numbers.

{57, 62, 62, 65, 71, 72, 76, 78, 79, 80, 82, 84, 87, 89, 93, 97, 98}

Fill in the Blanks

Find the median of the following set of 19 numbers.

{54, 55, 55, 57, 58, 64, 67, 67, 72, 73, 75, 76, 77, 79, 81, 82, 82, 86, 89}

Fill in the Blanks

Find the median of the following set of 14 numbers.

{58, 60, 65, 66, 68, 69, 70, 70, 73, 73, 80, 86, 95, 96}

Fill in the Blanks

Find the median of the following set of 16 numbers.

{57, 63, 63, 69, 70, 75, 75, 77, 79, 85, 87, 88, 90, 92, 93, 94}

Fill in the Blanks

Find the median of the following set of 18 numbers.

{60, 61, 63, 64, 64, 65, 66, 66, 72, 72, 73, 76, 81, 82, 88, 88, 89, 90}

Fill in the Blanks

Find the median of the following set of 12 numbers.

{51, 54, 60, 60, 66, 71, 72, 72, 73, 79, 87, 94}

Fill in the Blanks

Find the median of the following set of 14 numbers.

{55, 55, 56, 57, 61, 68, 70, 73, 81, 86, 88, 88, 92, 94}

Fill in the Blanks

Find the median of the following set of 16 numbers.

{64, 64, 65, 65, 67, 71, 72, 73, 78, 81, 85, 86, 88, 89, 89, 93}

Five Number Summary

Problem #1

Fill in the Blanks

Consider the following set of data (12 numbers):

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

What is the minimum? (Use decimals when the answer is not a whole number.)

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

What is the minimum?

Fill in the Blanks

Consider the following set of data (12 numbers):

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

What is the maximum? (Use decimals when the answer is not a whole number.)

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

What is the maximum?

Fill in the Blanks

Consider the following set of data (12 numbers):

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

What is the median? (Use decimals when the answer is not a whole number.)

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)

Fill in the Blanks

Consider the following set of data (12 numbers):

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

What is the lower quartile, aka Q1 or quartile 1? (Use decimals when the answer is not a whole number.)

Lower Quartile

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

Fill in the Blanks

Consider the following set of data (12 numbers):

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

What is the upper quartile, aka Q3 or quartile 3? (Use decimals when the answer is not a whole number.)

Upper Quartile

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

Fill in the Blanks

Consider the following set of data (12 numbers):

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

What is the Interquartile Range (IQR)? (Use decimals when the answer is not a whole number.)

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

Fill in the Blanks

Consider the following set of data (16 numbers):

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

What is the minimum? (Use decimals when the answer is not a whole number.)

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

What is the minimum?

Fill in the Blanks

Consider the following set of data (16 numbers):

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

What is the maximum? (Use decimals when the answer is not a whole number.)

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

What is the maximum?

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Fill in the Blanks

Consider the following set of data (16 numbers):

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

What is the median? (Use decimals when the answer is not a whole number.)

Median

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

Fill in the Blanks

Consider the following set of data (16 numbers):

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

What is the lower quartile, aka Q1 or quartile 1? (Use decimals when the answer is not a whole number.)

Lower Quartile

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

Fill in the Blanks

Consider the following set of data (16 numbers):

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

What is the upper quartile, aka Q3 or quartile 3? (Use decimals when the answer is not a whole number.)

Upper Quartile

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

Fill in the Blanks

Consider the following set of data (16 numbers):

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

What is the Interquartile Range (IQR)? (Use decimals when the answer is not a whole number.)

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.