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May 17, 2017
Apr 288:50 AM
Module 16.3: Box Plots
Objective: Display numerically data in plots on a number line box plots
Apr 288:56 AM
Box Plot:
Is a display of data that shows how the values in a data set are distributed or spread out
Apr 288:57 AM
To make a Box Plot you need
1. The least value (smallest number)
2. Lower Quartile the median of the lower half of the data
3. Median
4. The Upper Quartile the median of the upper half of the data
5. The greatest value the largest number
Apr 2811:41 AM
To create a box plot
1. Find the median (order from least to greatest)
2. Separate the data into lower and upper sections
3. Find the lower quartile median of the lower half
4. Find the upper quartile median of the upper half
5. Find the extremes lower and upper
6. Create a number line
7. Plot data values
Apr 2811:48 AM
. ....
Lower
extremeUpper
extrememedianThird
quartile
First
quartile
Apr 2811:53 AM
Lets do one!
60, 58, 54, 56, 63, 61
65, 61, 62, 59, 56, 58
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163.notebook
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May 17, 2017
May 27:06 AM
60, 58, 54, 56, 63, 61
65, 61, 62, 59, 56, 58
Median:
LQ:
UQ:
LE:
UE:
May 27:07 AM
Turn to page 463 and lets plot it on the number line at the bottom of the page
May 27:08 AM
Page 464 number 2
May 27:17 AM
Measure of Spread
is a single number that describes the spread of a data set.
Interquartile range: IQR: the difference between the upper quartile and the lower quartile
Range: the difference of the greatest and the lowest values in a spread
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Additional Example 1
The grades on a science test are shown in the table. Make a box plot for the data.
1/8
Box Plots
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Additional Example 2
A
2/8
The box plots compare the speeds of cars traveling on a highway.
Find the IQR for each box plot.
Box Plots
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3/8
Box Plots
Additional Example 2
B
The box plots compare the speeds of cars traveling on a highway.
Compare the IQRs of the box plots.
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4/8
A
Find the range of each set of data.
Additional Example 3
The data sets show the scores on a math test.
Box Plots
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5/8
B
Which period's test scores has a greater range?
The data sets show the scores on a math test.
Additional Example 3
Box Plots
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6/8
1. Find the median.
Lesson Quiz
Use the data for the books each class donated for a book drive.
2. Find the lower quartile.
Box Plots
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7/8
3. Find the upper quartile.
Lesson Quiz
Use the data for the books each class donated for a book drive.
4.
Make a box plot of the data.
Box Plots
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8/8
5.
Lesson Quiz
Use the data for the books each class donated for a book drive.
6. Find the range.
Find the IQR.
Box Plots
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May 17, 2017
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Additional Example 1
1/8
The grades on a science test are shown in the table. Make a box plot for the data.
Box Plots
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2/8
A
The box plots compare the speeds of cars traveling on a highway.
Find the IQR for each box plot.
Additional Example 2
Box Plots
North: 71 − 56 = 15; South: 68 − 59 = 9
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North's IQR is greater, so the speeds in the middle 50% for North are more spread out than those for South.
3/8
Box Plots
Additional Example 2
B
The box plots compare the speeds of cars traveling on a highway.
Compare the IQRs of the box plots.
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4/8
A
Find the range of each set of data.
Additional Example 3
The data sets show the scores on a math test.
Period 1: 97 − 66 = 31 Period 3: 98 − 59 = 39
Box Plots
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5/8
Period 3
B
Which period's test scores has a greater range?
The data sets show the scores on a math test.
Additional Example 3
Box Plots
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6/8
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1. Find the median.
Lesson Quiz
Use the data for the books each class donated for a book drive.
2. Find the lower quartile.
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Box Plots
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May 17, 2017
15
7/8
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3. Find the upper quartile.
Lesson Quiz
Use the data for the books each class donated for a book drive.
4.
Make a box plot of the data.
Box Plots
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8/8
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5.
Lesson Quiz
Use the data for the books each class donated for a book drive.
6. Find the range.
Find the IQR.
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Box Plots
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