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Semenov [28]
3 years ago
15

A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. find each value, given its distance fro

m the mean.
SAT
1 answer:
tekilochka [14]3 years ago
3 0

The value of each score from the z-score can be calculated using x = 45 + 8.3z

<h3>How to determine the distance from the mean?</h3>

The given parameters are:

  • Mean = 45
  • Standard deviation = 8.3

The z-score is calculated using:

z = \frac{x - \mu}{\sigma}

This gives

z = \frac{x - 45}{8.3}

Multiply both sides by 8.3

x - 45 = 8.3z

Add 45 to both sides

x = 45 + 8.3z

Hence, the value of each score from the z-score can be calculated using x = 45 + 8.3z

<em>Note that the question has missing parameters, so I provided a general solution</em>

Read more about normal distribution at:

brainly.com/question/1846009

#SPJ1

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