What is a negative z score and when would it be in your favor to have one?

Answer:

A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.

Step-by-step explanation:

Examples: Calculating a Z-Score

Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:

5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20

The sample mean of this dataset is 13 and the sample standard deviation is 5.51.

1. Find the z-score for the value “8” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (8 – 13) / 5.51  =  -0.91

This means that the value “8” is 0.91 standard deviations below the mean.

2. Find the z-score for the value “13” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (13 – 13) / 5.46  =  0

This means that the value “13” is exactly equal to the mean.

3. Find the z-score for the value “20” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (20 – 13) / 5.46  =  1.28

The negative z-score indicates that a particular value will be less than the mean.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The points regarding the z-score are as follows:

The negative z-score indicates that a particular value will be less than the mean.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

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