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How many maple trees had a diameter greater than 49.4 cm ? [#permalink]
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Carcass wrote:
Attachment:
GRE How many maple trees had a diameter.jpg


How many maple trees had a diameter greater than 49.4 cm ?

Show: :: OA
8


Normal Distribution = \(X̄ ± xσ\)
where,
\(X̄\) = Mean
\(σ\) = standard deviation (SD)
\(x\) = number of deviation ranging from 0 to 3

Here, \(49.4\) is \(1\) standard deviation (SD) above mean
i.e. \(49.4 = 42 + 1(7.4)\)

We know, \(1\) SD above mean represents \(84\) percent of the data
Therefore, \(16\)% of all Maple trees will have diameter above \(49.4\) i.e. \(\frac{16}{100}(50) = 8\)
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Re: How many maple trees had a diameter greater than 49.4 cm ? [#permalink]
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KarunMendiratta wrote:
greenmonomer wrote:
why did you consider it as normal distribution?


Because that is the only Distribution asked by ETS in GRE


True, but if this were a QC question, we'd couldn't assume a normal distribution.
On test day, if we're not told a distribution is normal, we can't assume it to be so.
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Re: How many maple trees had a diameter greater than 49.4 cm ? [#permalink]
why did you consider it as normal distribution?
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Re: How many maple trees had a diameter greater than 49.4 cm ? [#permalink]
greenmonomer wrote:
why did you consider it as normal distribution?


Because that is the only Distribution asked by ETS in GRE
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Re: How many maple trees had a diameter greater than 49.4 cm ? [#permalink]
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