Question

Data set is normally distributed with a mean of 27 and a standard deviation of 3.5. Find the Z-score for a value of 25, to the nearest
hundredth?

Answer 1

What is the standard deviation of the data set?

6, 4, 9, 5, 5, 4, 5

Round the answer to the tenths place.What is the standard deviation of the data set?

6, 4, 9, 5, 5, 4, 5

Round the answer to the tenths place.

Step-by-step explanation:

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Answer 2

The z-score are used to measure the probability of data. The  Z-score for a value of 25, to the nearest hundredth is -0.57

How to calculate the z-score for a normal distribution?

The formula for calculating the z-score for normal distribution is expressed as:

z = x - μ/σ

where

x is the value= 25
μ is the mean = 27

σ is the standard deviation = 3.5

Substitute

z = x - μ/σ

z = 25 - 27/3.5
z = -2/3.5
z = -0.57

Hence the  Z-score for a value of 25, to the nearest hundredth is -0.57

Learn more on z-score here: https://brainly.com/question/25638875