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
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,
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
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.
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.
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