Lesson 29-2 LESSON 29-2 PRACTICE Activity 29

Lesson 29-2
Mean Absolute Deviation
Activity 29
continued
My Notes
LESSON 29-2 PRACTICE
12. In your own words, summarize what MAD tells you about the
variability of a distribution.
13. Consider the following three data sets. All of the data values are
whole numbers.
a. Calculate the mean of each data set.
b. The three data sets have MAD values of 7, 9, and 11. Match the
data sets to the appropriate MAD value without actually making a
calculation.
70
60
80
90
Data Set A
40
50
20
60
Data Set B
30
Data Set C
70
80
40
14. Verify the MAD value for one of the data sets in part b.
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15. Attend to precision. Did you correctly assign the MAD values in
part b? If not, explain where your thinking was incorrect.
Activity 29 • Measures of Variability 385
Lesson 29-3
Interquartile Range (IQR)
Activity 29
continued
My Notes
Check Your Understanding
The data set for hand span (to the nearest half centimeter) of students in
Matthew’s class is shown below.
18 17 6
7 21 17 19 19 18 22
22 20 21 20 6.5 20 16 20 21 7.5
11. Create a dot plot for the hand span of students in Matthew’s class.
12. Do there appear to be any incorrect data values in this data set?
Explain.
13. Correct any incorrect data and correct your dot plot graphing to
the nearest centimeter.
LESSON 29-3 PRACTICE
Continue working with the corrected data for hand span of students in
Matthew’s class.
14. Attend to precision. Compute the mean, median and range.
15. Compute the mean absolute deviation (MAD).
16. Find the first and third quartile.
17. Compute the interquartile range (IQR).
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18. What percent of students in Matthew’s class have hand spans that are
greater than 17.5 cm?
Activity 29 • Measures of Variability 389
Lesson 30-1
Box Plots
ACTIVITY 30
continued
My Notes
LESSON 30-1 PRACTICE
The dot plot shows the ages of students in the drama club.
10 11 12 13 14 15 16 17
21. Determine the five-number summary.
Minimum
First Quartile
Median
Third Quartile
Maximum
22. Write a few sentences about the distribution of students in the
drama club.
Compare the two box plots.
A.
B.
10 11 12 13 14 15 16 17
23. Which box plot more accurately reflects the data from Item 21?
24. Reason quantitatively. Explain what is incorrect about the box
plot you did not choose.
25. Using the five-number summary, which two numbers represent the
starting point and ending point of the following portions of the
distribution?
A. Lowest 50% of the values in the distribution
B. Highest 25% of the values in the distribution
C. Middle 50% of the values in the distribution
396
Unit 6 • Data Analysis
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10 11 12 13 14 15 16 17
Lesson 30-2
Histograms
Activity 30
continued
My Notes
Check Your Understanding
12. For the variable, number of pieces of gum chewed per day, one
possible value is “2.” Where does the bar for the value “2” begin
on the horizontal axis and where does it end?
13. What is one feature of a distribution of a count variable that a
histogram shows that a box plot does not show?
LESSON 30-2 PRACTICE
The data represent the number of stairways in the homes of
twenty students. Use this data to answer Items 14–18.
4
4
0
5
0
3
4
4
2
2
2
2
3
3
2
2
1
2
2
2
14. Complete a frequency table for the data.
15. Model with mathematics. Construct a dot plot for the data.
16. Label each axis.
17. Title the histogram.
18. Use several sentences to describe this distribution.
400 Unit 6 • Data Analysis
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The histogram for this distribution is partially completed.