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 Post subject: STATISTICS: $2,000,000 instead of$200,000 on a data setPosted: Mon, 21 May 2012 16:44:34 UTC
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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

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

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 Post subject: Re: STATISTICS: $2,000,000 instead of$200,000 on a data setPosted: Mon, 21 May 2012 18:37:58 UTC
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A-R-Q wrote:
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.

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 Post subject: Re: STATISTICS: $2,000,000 instead of$200,000 on a data setPosted: Wed, 23 May 2012 08:14:52 UTC
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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.

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 Post subject: Re: STATISTICS: $2,000,000 instead of$200,000 on a data setPosted: Wed, 23 May 2012 09:06:42 UTC
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Mr. Mathturo wrote:
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).

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 Post subject: Re: STATISTICS: $2,000,000 instead of$200,000 on a data setPosted: Wed, 23 May 2012 18:59:21 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
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Location: Austin, TX
outermeasure wrote:
Mr. Mathturo wrote:
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).

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