250 200 150 100 50 25 50 75 100 % White Count Mean Median 500 83.59 93 StdDev IQR Q1 Q3 22.26 17 80 97 # of Neighborhoods

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.1: Ratios
Problem 21WE
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Question
Customer database A large philanthropic organization
keeps records on the people who have contributed to
their cause. In addition to keeping records of past giving,
the organization buys demographic data on neighbor-
hoods from the U.S. Census Bureau. Eighteen of these
variables concern the ethnicity of the neighborhood of
the donor. Here are a histogram and summary statistics
for the percentage of whites in the neighborhoods of
500 donors:a) Which is a better summary of the percentage of
white residents in the neighborhoods, the mean or
the median? Explain.
b) Which is a better summary of the spread, the IQR or
the standard deviation? Explain.c) From a Normal model, about what percentage of
neighborhoods should have a percent white within one
standard deviation of the mean?
d) What percentage of neighborhoods actually have a
percent white within one standard deviation of the
mean?
e) Explain the discrepancy between parts c and d.
250
200
150
100
50
25
50
75
100
% White
Count
Mean
Median
500
83.59
93
StdDev
IQR
Q1
Q3
22.26
17
80
97
# of Neighborhoods
Transcribed Image Text:250 200 150 100 50 25 50 75 100 % White Count Mean Median 500 83.59 93 StdDev IQR Q1 Q3 22.26 17 80 97 # of Neighborhoods
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