Traveler Spending The data show the traveler spending in billions of dollars for a recent year for a sample of the states. Find the range, variance, and standard deviation for the data. 20.1 33.5 21.7 58.4 23.2 110.8 30.9 24.0 74.8 60.0 Source: U.S. Travel Agency.
Traveler Spending The data show the traveler spending in billions of dollars for a recent year for a sample of the states. Find the range, variance, and standard deviation for the data. 20.1 33.5 21.7 58.4 23.2 110.8 30.9 24.0 74.8 60.0 Source: U.S. Travel Agency.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1.
What is the relationship between the variance and the standard
deviation?
2.
Why might the range not be the best estimate of variability?
3.
What are the symbols used to represent the population variance and
standard deviation?
4.
What are the symbols used to represent the sample variance and
standard deviation?
5. Why is the unbiased estimator of variance used?
6.
The three data sets have the same mean and range, but is the
variation the same? Prove your answer by computing the standard
deviation. Assume the data were obtained from samples.
a. 5, 7, 9, 11, 13, 15, 17
b. 5, 6, 7, 11, 15, 16, 17
c. 5, 5, 5, 11, 17, 17, 17
Traveler Spending The data show the traveler spending in billions
of dollars for a recent year for a sample of the states. Find the
range, variance, and standard deviation for the data.
7.
20.1
33.5
21.7
58.4
23.2
110.8
30.9
24.0
74.8
60.0
Source: U.S. Travel Agency.
Cigarette Taxes The increases (in cents) in cigarette taxes for 17
states in a 6-month period are
8.
60, 20, 40, 40, 45, 12, 34, 51, 30, 70, 42, 31, 69, 32, 8, 18, 50
Find the range, variance, and standard deviation for the data. Use
the range rule of thumb to estimate the standard deviation.
Compare the estimate to the actual standard deviation.
Source: Federation of Tax Administrators.
9.
Prices of Silver and Tin The following data show the price of
silver and the price of tin over a recent 9-year period. Find the
range, variance, and standard deviation. Which data set is more
variable?
n
Back to 67
40
31.21
12.83
143/ 800
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