# Determine the approximate z-scores for the dirst quartile and the third quartile of the standard normal distribution.

ediculeN 2021-01-08 Answered
Determine the approximate z-scores for the dirst quartile and the third quartile of the standard normal distribution.
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## Expert Answer

Willie
Answered 2021-01-09 Author has 95 answers
The given information "z-score for the first quartile and the third quartile of the standard normal distribution."
We know that 0.250 square unit of the area covered in the standard normal distribution to the left of the third quartile.
We have to find the z-score that has an area of 0.250 square units to the left of the z-score.
So from the table of standard normal distribution we get the z-score of the area 0.250 square unit as $z=0.67$
And 0.250 square unit of the area covered in the standard normal distribution to the right of the first quartile.
We have to find the z-score that has an area of 0.250 square units to
the right of the z-score.
So from the table of standard normal distribution we get the z-score of the area 0.250 square unit as $z=0.67$
Since the z-score of the first quartile lies to left of 0, thus the z-score of first quartile is $z=-0.67$
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