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3) A normal distribution has a mean of 75 and a standard deviation of 15. Determine the z-score for the data value of 85.​

Respuesta :

Step-by-step explanation:

z = (specific score - mean) / standard deviation

in our case

z = (85 - 75)/15 = 10/15 = 2/3 = 0.666666... ≈ 0.67

as z-tables usually round the z-score to hundredths.

The z-score for the data value of 85 is 0.67.

How to Calculate Z-Score?

A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score. A value that is one standard deviation from the mean would have a Z-score of 1.0. Z-scores can be either positive or negative, with a positive number signifying a score above the mean and a negative value signifying a score below the mean.

To find the z-score, you simply need to apply the following formula:

z = (x - μ) / σ

μ=75

σ=15

x=85

z =85-75/15

z=10/15

 =2/3

 =0,66666....=0.67

Therefore, the z-score for the data value of 85 is 0.67.

To learn more about z-score, refer to:

https://brainly.com/question/25638875

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