MR. LUND’S MATH CLASS

Enduring Understanding: Develop a better understandingof how to use data to construct a box and whisker plot. Develop a better understanding of how to interpret a box and whisker plot.

Essential Questions:

  • What is a box and whisker plot?
  • What information is presented in a box and whisker plot?
  • How can data be used to create a box and whisker plot?
  • What information can be easily extracted form a box and whisker plot?
  • What is meant by the term “quartile”?

Lesson Overview:

  • Before allowing the students the opportunity to start the activity: access their prior knowledge with regards to box and whisker plots.
  • A good warm-up to use with this activity is Apple Basket.
  • How can you support a conclusion that you make?
  • What evidence from graphs can be used to support/justify your conclusion?
  • Use resources from your building.

EALRs/GLEs

1.4.6

Item Specifications: PS03

Assessment:

  • Use WASL format items that link to what is being covered by the classroom activity
  • Include multiple choice questions

Mr. Lund’s Math Class

Here are the test scores on an exam in Mr. Lund’s math class.

Score / 100 / 95 / 93 / 79 / 87 / 98 / 89 / 94 / 97 / 81 / 96
Frequency / 2 / 2 / 5 / 1 / 1 / 3 / 4 / 1 / 6 / 1 / 4

Display the data in abox and whisker plot.

1. Find the least value and the greatest value. Subtracting the least value from the greatest value will identify the range of the data.

The lowest test score is ______

The highest test score is ______

The range is ______

2.Find the median of the data.

The median is ______

3.Find the median of the lower half of the data. (lowest quartile boundary)

The median for the lower half of the test scores is ______

4.Find the median of the upper half of the data. (highest quartile boundary)

The median for the upper half of the test score is ______

5.Draw a number line. Below the line, mark the points for the values you found in Steps 2-5.

  • Draw a box from the upper to lower quartile (median) marks. The length of the box is important, but the height (thickness) can be any convenient size.
  • Draw a whisker from the upper quartile mark to the maximum value. Then draw a whisker from the lower quartile mark to the minimum value. At the median of the data set, draw a vertical line within the box from its bottom to its top.

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6. Here are the results of a series of chance scores for the dice game Yahtzee.

205 / 308 / 246 / 318 / 183 / 254 / 184 / 260 / 248
245 / 227 / 189 / 201 / 157 / 263 / 236 / 194 / 148
264 / 174 / 194 / 273 / 200 / 173 / 211 / 207 / 225
217 / 187 / 203 / 190 / 264 / 254 / 294 / 146 / 195

Use this set of data to complete the following exercises.

  1. Make a box and whisker plot of the data.

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  1. What is the range of the scores? ______

Support your answer using words, numbers and/or diagrams.

  1. What is the median score? ______

Support your answer using words, numbers and/or diagrams.

  1. What is the median of the lower half of the data? (lowest quartile) ______

Support your answer using words, numbers and/or diagrams.

  1. What is the median of the upper half of data? (upper quartile) ______

Support your answer using words, numbers and/or diagrams.

  1. Are the whiskers the same length? ______

Why? ______

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  1. What does a box and whisker plot not tell you about the data?

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7. Bill asked a group of his friends, “How old would you like to be?” The responses are below:

15 / 18 / 16 / 17 / 21 / 18 / 26 / 21
19 / 22 / 21 / 24 / 29 / 21 / 20 / 27
23 / 28 / 22 / 25 / 30 / 26 / 21 / 25
22 / 21 / 20 / 28 / 18 / 21 / 16 / 21

a. Draw a box and whisker plot for this set of data.

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b. What is the median of the data? ______

Support your answer using words, numbers and/or diagrams.

  1. Which quartile has the largest range? ______

Support your answer using words, numbers and/or diagrams.

8. A survey was conducted by Mrs. Johnson in her math class. She asked, “How many hours did you spend on homework this past week?” The responses are below:

13 / 4 / 10 / 8 / 9
0 / 2 / 5 / 15 / 12
9 / 16 / 11 / 8 / 4
3 / 8 / 10 / 6 / 8
11 / 6 / 7 / 11 / 9

Draw a box and whisker plot for this set of data.

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  1. What is the median number of hours spent on homework? ______

Support your answer using words, numbers and/or diagrams.

  1. What can you infer about the grades of the students in Mr. Johnson’s mathematics class from the box and whisker plot representing the number of hours of homework done in a week?

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9. The box-and-whisker plot below describes the weights of a sample of 100 chickens.

Which statement can be made about the data?

O A. The range of the weights is 3 lbs.

O B. The median weight is less than 2 lbs.

O C. Twenty-five percent of the chickens weigh less than 1 lb.

O D. Fifty percent of the chickens weigh more than 2 lbs.

10. The box-and-whisker plot represents the heights, in inches, of the members of the CentralHigh School girls’ basketball team.

Which is the median height of the members of the team?

O A. 67 inches

O B. 68 inches

O C. 69 inches

O D. 70 inches