Box-and-Whisker PlotsBox-and-Whisker PlotsWe are learning to…create and analyze Box-and-Whisker plots.We are learning to…create and analyze Box-and-Whisker plots.

Wednesday, April 19, 2023Wednesday, April 19, 2023

Box-and-Whisker Plot VocabularyBox-and-Whisker Plot Vocabulary

Median – The middle number of a set of data.Median – The middle number of a set of data.

Upper Quartile – The median of the data values Upper Quartile – The median of the data values that are greater than the median of the total data that are greater than the median of the total data set.set.

Lower Quartile – The median of the data values Lower Quartile – The median of the data values that are less than the median of the total data that are less than the median of the total data set.set.

Upper/Lower Extreme – The highest and lowest Upper/Lower Extreme – The highest and lowest numbers in a set of data.numbers in a set of data.

Box-and-Whisker Plot PracticeBox-and-Whisker Plot PracticeMake a box-and-whisker plot using the following set of data:

1, 6, 10, 4, 2, 8, 15, 6, 3

Step #1: Put the numbers in order from least to greatest:1, 2, 3, 4, 6, 6, 8, 10, 15

Step #2: Create a number line…that extends beyond the upper/lower extremes.

Step #3: Find the Median…draw a line above the median on the number line.

Step #4: Find the Upper Quartile…draw a line above the upper quartile.

Step #5: Find the Lower Quartile…draw a line above the lower quartile.

Step #6: Create a box (a rectangle) above the number line with the upper and lower quartiles as two of the sides.

Step #7: Create whiskers (straight lines) that extend from the box to the upper and lower extremes.

Make a box-and-whisker plot using the following set of data: 1, 6, 10, 4, 2, 8, 15, 6, 3

Step #1: Put the numbers in order from least to greatest:1, 2, 3, 4, 6, 6, 8, 10, 15

Step #2: Create a number line…that extends beyond the upper/lower extremes.

Step #3: Find the Median…draw a line above the median on the number line.

Step #4: Find the Upper Quartile…draw a line above the upper quartile.

Step #5: Find the Lower Quartile…draw a line above the lower quartile.

Step #6: Create a box (a rectangle) above the number line with the upper and lower quartiles as two of the sides.

Step #7: Create whiskers (straight lines) that extend from the box to the upper and lower extremes.

Box-and-Whisker Plot PracticeBox-and-Whisker Plot PracticeThere are 12 people are in a Habanera Pepper eating contest who ate the following amount of peppers:

4, 4, 4, 9, 15, 2, 5, 0, 10, 12, 1, 18

Put the numbers in order from least to greatest:

0, 1, 2, 4, 4, 4, 5, 9, 10, 12, 15, 18

There are 12 people are in a Habanera Pepper eating contest who ate the following amount of peppers:

4, 4, 4, 9, 15, 2, 5, 0, 10, 12, 1, 18

Put the numbers in order from least to greatest:

0, 1, 2, 4, 4, 4, 5, 9, 10, 12, 15, 18

BELOW THE MEDIAN (4.5)

ABOVE THE MEDIAN (4.5)

Discussion Question:

Why are all of the Boxes and Whiskers different sizes?

Analyzing a Box-and-Whisker PlotAnalyzing a Box-and-Whisker Plot

_____%

_____%_____%

_____%25%

25% 25%25%

50%50%

Box-and-Whisker Plot Reflection QuestionBox-and-Whisker Plot Reflection Question

Nate believes that the reason that the Nate believes that the reason that the boxes and whiskers are not always the boxes and whiskers are not always the same size is because there are more same size is because there are more numbers in some of the boxes than others. numbers in some of the boxes than others. Is he correct? Explain in complete Is he correct? Explain in complete sentences.sentences.

How to find the: Inter-Quartile RangeHow to find the: Inter-Quartile Range

Inter-Quartile Range – the difference between the upper Inter-Quartile Range – the difference between the upper and lower quartile of a set of data.and lower quartile of a set of data.

Inter-Quartile Range = Upper Quartile – Lower QuartileInter-Quartile Range = Upper Quartile – Lower Quartile

Show where you could find the inter-quartile range on the box-and-whisker plot below:

INTER-QUARTILE RANGE

Colby graphed some data as shown in this box-and-whisker plotColby graphed some data as shown in this box-and-whisker plot..

0 000

Which statement is true about Colby’s data?Which statement is true about Colby’s data?

A.A. The range of the data is 25.The range of the data is 25.

B.B. One-half of the data is below 65.One-half of the data is below 65.

C.C. The median of the data is 60.The median of the data is 60.

D.D. Three-fourths of the data is Three-fourths of the data is below 90.below 90.

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Which of the following is not true about the box-and-whisker plot shown below?Which of the following is not true about the box-and-whisker plot shown below?

0 000

A.A. The inter-quartile range is 8The inter-quartile range is 8

B.B. The upper quartile is -2.The upper quartile is -2.

C.C. The median of the data is 1.The median of the data is 1.

D.D. The lower extreme is -9.The lower extreme is -9.

11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818