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Filename: controllers/calculator.php

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The calculator tool used to calculate the Z score of the given statistical values is called a Z score calculator. Z score is called as the standard score which can be calculated for each value in a set of data for the given mean and standard derivation of a sample.

population standard deviation 0.25 and value 4.5?

In, this problem the Z score is to be calculated for the value 4.5

Given the mean of the population = 3

The standard deviation = 0.25

Z score of the given data can be calculated as shown below:

Z score = Value of the data - Mean of the given data / Standard deviation

Z Score = 4.5 - 3 / 0.25 = 6.0

population standard deviation 7.5 and value 8.2?

In, this problem the Z score is to be calculated for the value 8.2

Given the mean of the population = 24

The given standard deviation= 7.5

Z score = Value of the data - Mean of the given data / Standard deviation

Therefore, Z Score = 8.2 - 24 / 7.5 = -2.1