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 67 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 20- 20- 154 15- 10- 10- 54 10 20 30 40 50 60 70 so 90 100 110 10 20 30 40 50 60 70 80 90 100 110 City A mean: 48.43 thousand dollars City B mean: 59.93 thousand dollars City A standard deviation: 29.52 thousand dollars City B standard deviation: 15.01 thousand dollars 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. |(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 14.9 thousand dollars and 104.96 thousand dollars is approximately ? (Choose one) (c) Approximately 68% of the incomes are between thousand dollars and thousand dollars.
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 67 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 20- 20- 154 15- 10- 10- 54 10 20 30 40 50 60 70 so 90 100 110 10 20 30 40 50 60 70 80 90 100 110 City A mean: 48.43 thousand dollars City B mean: 59.93 thousand dollars City A standard deviation: 29.52 thousand dollars City B standard deviation: 15.01 thousand dollars 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. |(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 14.9 thousand dollars and 104.96 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
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Author:Carter
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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 67 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
254
20-
20.
15-
15-
10-
10+
5-
54
10 20
30
40
50
60 70 80 90
100 110
10
20
30
40
50
60
70
80
90
100 110
City A mean: 48.43 thousand dollars
City B mean: 59.93 thousand dollars
City A standard deviation: 29.52 thousand dollars
City B standard deviation: 15.01 thousand dollars
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.
(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) v 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 14.9 thousand dollars and 104.96 thousand dollars is approximately
(Choose one) ▼ .
(c) Approximately 68% of the incomes are between thousand dollars and thousand dollars.
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