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Filename: controllers/formulas.php

Line Number: 37

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Z score formula for x= (x- µ)/σ

Z score formula for x? = (x? -µ)/( σ/√n)

Where,

µ= Population mean

σ= Population standard deviation

n= sample size.

1) X= 55

2) x=35

1) The z score for x=55 is computed as follows:

Z= (x-µ)/σ

= (55-50)/10

= 5/10

=1/2

=0.50

Therefore z score for x=55 is

. For the given normal distribution, µ=50 and σ=10.

2) The z score for x=35 is computed as follows:

Z= (x-µ)/σ

= (35-50)/10

= -15/10

=-3/2

=-1.50

Therefore z score for x=55 is