Question 262055: I don't understand how to do this
find the value of z such that 48% of the distribution lies between it and the mean
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I don't understand how to do this
find the value of z such that 48% of the distribution lies between it and the mean
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There are several ways to work this depending on what tool you
use. You many be using a z-chart or you may be using a calculator
or you may be using Excel, or something else.
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I use a TI calculator.
I would recommend you draw the normal curve, spot the mean in
the middle of the distribution, pick some point to the right
that appears to have 48% of the population between it and
the mean. Remember that 50% of of the population is to the right
of the mean so your point is pretty far to the right.
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Now use your z-chart to find the z-value of that point.
I get invNorm(0.98) = 2.0537..
Your point is 2.0537 standard deviations to the right of
the mean.
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Cheers,
Stan H.
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