Mathematics: 1. compute the z score value for a score of 85 on a test which has a mean of 75 and a standard deviation of 5.

So x- quartersy - dimesz- nickelsThe system of equations would bex+10=yz+5=xx+y+z= 4.75...

1. compute the z score value for a score of 85

mdg5605

05.01.2022

ANSWER

The z-score is 2.

EXPLANATION

The z-score for a data set that is normally distributed is calculated using the formula:

$z = \frac{x - \bar x}{ \sigma}$

where

$\bar x$

is the mean and

$\sigma$

is the standard deviation of the distribution.

From the given information the test score is 85.

This implies that,

x = 85

The mean is 75.

$\bar x = 75$

The standard deviation is 5.

We substitute the values into the formula to get,

$z = \frac{85 - 75}{5}$

This implies that

$z = \frac{10}{5}$

Therefore the z-score is

z = 2

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