Tuesday, December 11, 2012

Standard Deviation Z Value

Introduction for standard deviation z value:

In this article we shall discuss about the standard deviation z value. Standard deviation is the part of measurement of the z-value,standard scores are also called as z-values, z-scores, normal scores.The z-value be simply define the population parameter, because in standardized testing; but one just contain a sample set, next the similar calculation by sample mean also illustration standard deviation yield the Student's t-statistic.

Standard Deviation Z Value

Z value:

The z value formula is

` Z=(x- mu)/ sigma`

where

x is a raw value to be standardized

μ is the mean of the population

σ is the standard deviation of the population

In standard deviation, z value be the number of standard deviations to a value, x, be above or else below the mean.Value of x is fewer than the mean- z value negative.The value of x is more than the mean- z value positive and value of x equals the mean - z value zero.

Let us see some of the examples of standard deviation z value. Having problem with Finding the least Common Denominator keep reading my upcoming posts, i will try to help you.

Examples for Standard Deviation Z Value

Example 1:

Find the Z value to the raw data of 14 coming from the mean 8 and the standard deviation 3.

Solution:

The formula for the Z value is

` Z = (x-mu)/sigma`

Where, x =14, µ = 8 and σ = 3

`Z = (14-8)/3`

`Z = 6 / 3`

Z  = 2

The Z value is 2

Example 2:

The Z value  3 was observed from the outcome of the normal distribution with mean 16 and the standard deviation 6 and evaluate the raw data.

Solution:

The  Z value  formula is

`Z =(x-mu)/sigma`

Where, Z= 3, µ = 16 and σ = 6.

2 = `(x-16)/6`

6(2)=x-16

12=x-16

x = 16 + 12

x = 28.

The raw data for the Z value 3, mean 16 and standard deviation 6 is 28.

These are the examples of standard deviation z value.

Practice examples for standard deviation z value:

1.Measure the Z value to the raw data of 18 coming from the mean 6 and the standard deviation 3.

Answer : 4

2.Calculate  the Z value to the raw data of 8 coming from the mean 4 and the standard deviation 2.

Answer :  2

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