The mean absolute deviation, or MAD, and the interquartile range, or IQR, are measures ofvariability. Measures of variability tell you how much the values in a data set tend to differwhile a smaller measure of variability means that the data is more consistent and close tofrom one another. A greater measure of variability means that the data is more spread outAre you ready for more?LFind possible locations for the 6 pennies,LesLesson 5 Summarythe measure of center.To calculate the MAD of a data set:1. Find the mean of the values in the data set.2. Find the distance between each data value and the mean on the number line:|data value - mean|3. Find the mean of the distances. This value is the MAD.To calculate the IQR, subtract the value of the first quartile from the value of the thirdquartile. Recall that the first and third quartile are included in the five number summary.38 Student WorkbookAlgebra 2. The data set represents the heights, in centimeters, of ten model bridges made for ana. What is the median? Interpret this value in the situation.(1) The data set represents the number of errors on a typing test.Lesson 5 Practice Problems10109.8.1012b. What is the IQR?engineering competition.13161814141616161819a. What is the mean?b. What is the MAD?3. Describe the shape of the distribution shown in the dot plot. The dot plot displays thegolf scores from a golf tournament.132134136138140golf score (strokes)(From Unit 1, Lesson 4.)Algebra 139

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a. What is the median? Interpret this value in the situation. (1) The data set represents the number of errors on a typing test. Lesson 5 Practice Problems 10 10 9. 8. 10 12

Algebra and Trigonometry (6th Edition)

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Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Topic Video

Question

The mean absolute deviation, or MAD, and the interquartile range, or IQR, are measures of
variability. Measures of variability tell you how much the values in a data set tend to differ
while a smaller measure of variability means that the data is more consistent and close to
from one another. A greater measure of variability means that the data is more spread out
Are you ready for more?
LFind possible locations for the 6 pennies,
Les
Lesson 5 Summary
the measure of center.
To calculate the MAD of a data set:
1. Find the mean of the values in the data set.
2. Find the distance between each data value and the mean on the number line:
|data value - mean|
3. Find the mean of the distances. This value is the MAD.
To calculate the IQR, subtract the value of the first quartile from the value of the third
quartile. Recall that the first and third quartile are included in the five number summary.
38 Student Workbook
Algebra

2. The data set represents the heights, in centimeters, of ten model bridges made for an
a. What is the median? Interpret this value in the situation.
(1) The data set represents the number of errors on a typing test.
Lesson 5 Practice Problems
10
10
9.
8.
10
12
b. What is the IQR?
engineering competition.
13
16
18
14
14
16
16
16
18
19
a. What is the mean?
b. What is the MAD?
3. Describe the shape of the distribution shown in the dot plot. The dot plot displays the
golf scores from a golf tournament.
132
134
136
138
140
golf score (strokes)
(From Unit 1, Lesson 4.)
Algebra 1
39

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