S.O.S. Mathematics CyberBoard

STATISTICS: A clerk entering salary data into a company spreadsheet accidently put an extra "0" in the boss's salary, listing it as $2,000,000 instead of $200,000. Explain how this error will affect these summary statistics for the company payroll

a) measures of centre: median and mean
b) measures of spread: standard deviation, range, and IQR

=======
For sure: mean, standard deviation, and range are affected. However, I think this has no effect on median, and IQR.

The IQR is almost assuredly not affected unless you're immensely unlucky. The median might change depending on what side of it the boss was originally, but like the range is probably affected very little as the boss usually makes one of the most in all the company.

Naturally the mean and std. deviation will change, but the mean is very stable, if there are a lot of people in the company, it won't change much.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Just to clarify what Shadow wrote, and also to confirm what you originally wrote:

assuming the boss is making the most money, before and after the error:
a) The Range will change; however
b) The IQR (InterQuartile Range) will not change.

... assuming the company is sufficiently big (i.e. at least 5 people).

_________________

I ALMOST made that joke.

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination