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photoshop1234 [79]
2 years ago
10

Brianna received an overall IQ score of 117 on the Wechsler Scale. This means that Brianna has scored approximately____________

standard deviation above the mean IQ score of ____________. A. 2; 90 B. 1; 110 C. 2; 75 D. 1; 100
Mathematics
1 answer:
Tresset [83]2 years ago
7 0

Using the normal distribution, it is found that the correct option is:

  • D. 1; 100

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.

In this problem:

  • The mean on the Wechsler Scale is of 100, hence \mu = 100.
  • The standard deviation is of 17, hence \sigma = 17.
  • Brianna had an score of 117, hence X = 117

Then:

Z = \frac{X - \mu}{\sigma}

Z = \frac{117 - 100}{17}

Z = 1

Hence, the option d is correct.

To learn more about the normal distribution, you can check brainly.com/question/24663213

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