(a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of incomes between 25.72 thousand dollars and 83.76 thousand dollars is approximately (Choose one) c) Approximately 68% of the incomes are between thousand dollars and thousand dollars.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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Question
A County Board of Supervisors has appointed an urban planning committee to evaluate proposed community development
projects. The committee is analyzing, among other things, data on household incomes in two cities within the county. They
have collected data on the income of 77 households in each of the two cities. The histograms below show the distributions of
the two sets of incomes (in thousands of dollars). Each histogram shows household income on the horizontal axis and
number of households on the vertical axis. The means and standard deviations for the data sets are also given.
City A
City B
25+
20+
15+
10+
5-
←
10
20 30
40
50 60 70 80 90 100
City A mean: 73.96 thousand dollars
City A standard deviation: 20.30 thousand
dollars
Explanation
25-
20-
15-
104
5+
10
(a) Identify the data set for which it is appropriate to use the Empirical Rule.
It is appropriate to use the Empirical Rule for the (Choose one) ▼
data set.
20 30
The committee wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is
appropriate to use the Empirical Rule on only one of them!
Answer the parts below to help the committee with their approximations.
For the data set identified in part (a), use the Empirical Rule to make the following
approximations.
(c) Approximately 68% of the incomes are between thousand dollars and
thousand dollars.
(b) The percentage of incomes between 25.72 thousand dollars and 83.76 thousand
dollars is approximately (Choose one).
40
50 60 70 80 90
City B mean: 54.74 thousand dollars
City B standard deviation: 14.51 thousand
dollars
Españo
X
5
100
Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center | Accessibility
D
A
Transcribed Image Text:A County Board of Supervisors has appointed an urban planning committee to evaluate proposed community development projects. The committee is analyzing, among other things, data on household incomes in two cities within the county. They have collected data on the income of 77 households in each of the two cities. The histograms below show the distributions of the two sets of incomes (in thousands of dollars). Each histogram shows household income on the horizontal axis and number of households on the vertical axis. The means and standard deviations for the data sets are also given. City A City B 25+ 20+ 15+ 10+ 5- ← 10 20 30 40 50 60 70 80 90 100 City A mean: 73.96 thousand dollars City A standard deviation: 20.30 thousand dollars Explanation 25- 20- 15- 104 5+ 10 (a) Identify the data set for which it is appropriate to use the Empirical Rule. It is appropriate to use the Empirical Rule for the (Choose one) ▼ data set. 20 30 The committee wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help the committee with their approximations. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (c) Approximately 68% of the incomes are between thousand dollars and thousand dollars. (b) The percentage of incomes between 25.72 thousand dollars and 83.76 thousand dollars is approximately (Choose one). 40 50 60 70 80 90 City B mean: 54.74 thousand dollars City B standard deviation: 14.51 thousand dollars Españo X 5 100 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center | Accessibility D A
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