The median of any Normal distribution is the same as its mea

The median of any Normal distribution is the same as its mean. We can use Normal calculations to find the quartiles for Normal distributions.

a) What is the area under the standard Normal curve to the left of the first quartile?
Use this to find the value of the first quartile for a standard Normal distribution.
Find the third quartile similarly.

Give your answers to 2 decimal places.
Fill in the blank

Solution

The area to the left of the first quartile is 0.25. Looking up .25 on the standard normal table occurs at a z score of -.67. The first quartile is -.67.

The area to the left of the third quartile is 0.75. Looking up .75 on the standard normal table occurs at a z score of +.67. The third quartile is .67.