For the standard normal distribution $N(0,1)$, find the median, quartiles and interquartile range. (Give all answers to two decimal places.)
I know the mean is $0$, which means the median is $0$ and that the standard deviation is $1$, but how do I find the quartiles? I know that the interquartile range is $Q_3-Q_1$.
How would I begin solving a problem like this?
$\endgroup$1 Answer
$\begingroup$Look at a table of the standard normal distribution.
At what values of z it is $\Phi(z)=0.25, \Phi(z)=0.50$ or $\Phi(z)=0.75$ ?
The values of z are the quartiles $Q_1,Q_2$ and $Q_3$.
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