A clerk entering salary data into a company spreadsheet accidentally put an extr
ID: 3056204 • Letter: A
Question
A clerk entering salary data into a company spreadsheet accidentally put an extra
"00"
in the boss's salary, listing it as
2,300,000
instead of
$230,000
Explain how this error will affect these summary statistics for the company payroll.
a) measures of center (median and mean)
b) measures of spread (range, IQR, and standard deviation)
a) Choose the correct answer below.
A.
The median will be too small and the mean will be too large.
B.
Assuming the boss's true salary is above the median, the median will be the same. The mean will be too large.
C.
Assuming the boss's true salary is above the median, the median will be the same. The mean will be too small.
D.
The median and the mean will be too large.
Part 2
b) Choose the correct answer below.
A.
The range will likely be the same. The IQR will likely be too large. The standard deviation will be too large.
B.
The range will likely be the same. The IQR will likely be too large. The standard deviation will be too small.
C.
The range will likely be too large. The IQR will likely be too small. The standard deviation will be too small.
D.
The range will likely be too large. The IQR will likely be the same. The standard deviation will be too large.
Explanation / Answer
1) option B is correct
B.
Assuming the boss's true salary is above the median, the median will be the same. The mean will be too large.
2) option D is correct
D.
The range will likely be too large. The IQR will likely be the same. The standard deviation will be too large.
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