The following data for a random sample of banks in two cities represent the ATM
ID: 3048236 • Letter: T
Question
The following data for a random sample of banks in two cities represent the ATM fees for using another bank's ATM. Compute the range and sample standard deviation for ATM fees for each city. Which city has the most dispersion based on range? Which city has more dispersion based on the standard deviation?
City A
2.25
1.50
1.25
0.00
1.75
City B
1.25
1.00
1.50
1.50
1.25
The range for city A is _______________.
.
The range for city B is ________________.
.
The standard deviation for city A is _____________.
(Round to the nearest cent as needed.)
The standard deviation for city B is ____________________.
(Round to the nearest cent as needed.)
Which city has the most dispersion based on range?
A. City A, because it has a lower range.
B. City A, because it has a higher range.
C. City B because it has a higher range.
D. City B, because it has a lower range.
Which city has the most dispersion based on standard deviation?
A. City B because it has a higher standard deviation.
B. City B, because it has a lower standard deviation.
C. City A, because it has a higher standard deviation.
D. City A, because it has a lower standard deviation.
City A
2.25
Explanation / Answer
The statistical software output for this problem is:
Summary statistics:
Hence,
Range of city A = 2.25
Range of city B = 0.5
Standard deviation of city A = 0.84
Standard deviation of city B = 0.21
B. City A, because it has a higher range.
C. City A, because it has a higher standard deviation.
Column Range Std. dev. City A 2.25 0.84038682 City B 0.5 0.20916501Related Questions
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