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denis-greek [22]
2 years ago
14

On a standardized exam, the scores are normally distributed with a mean of 350 and

Mathematics
1 answer:
kondaur [170]2 years ago
3 0

Answer:

\boxed {\boxed {\sf z= -0.1}}

Step-by-step explanation:

A z-score helps describe the relationship between a value and the mean of a group of values. Basically, it tells us how many standard deviations away from the mean a value is. The formula is:

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

where x is the value, μ is the mean, and σ is the standard deviation.

For this standardized exam, the mean is 350 and the standard deviation is 40. We want to find the z-score for a value of 346.

  • x= 346
  • μ= 350
  • σ= 40

Substitute the values into the formula.

z= \frac{ 346-350}{40}

Solve the numerator.

z- \frac{ -4}{40}

Divide.

z= -0.1

The z score is <u>-0.1</u>, so the person with a score of 346 on the exam was 0.1 standard deviations lower than the mean.

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