Question

For a normally distributed population with a mean of 150 and standard deviation of 25, approximately what percentage of the observations should we expect to lie between 100 and 200?

Answer 1

The percentage of observations which we expect to lie between 100 and 200 is 3.38%

Given, the mean is 150 and

standard deviation(sd) = 25

what percentage of observation lie between 100 and 200.

x + 1sd = 175

x - 1sd = 125

x + 2sd = 200

x - 2sd = 100

x + 3sd = 225

x - 3sd = 7

observation between 100 and 200 lie from x + 1sd

Therefore P(x) = (100-175)÷25

= -3

=3.38%

Hence the percentage of observations that lie between 100 and 200 is 3.38%

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