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posledela
3 years ago
10

When Lorenzo finished his exam last week, he thought the test was over. But the instructor put z-scores on each student's paper

and asked them to figure out their original score. The mean for the class is µ = 61 and standard deviation is σ = 8. Lorenzo's z-score is +1.75. What did he score on the exam?
Mathematics
1 answer:
Anarel [89]3 years ago
5 0

Answer:

Lorenzo's score on exam was 75.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 61

Standard Deviation, σ = 8

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

z-score = 1.75

We have to find the value of x.

Putting values, we get

1.75 = \dfrac{x - 61}{8}\\\\x = 1.75(8) + 61\\x = 75

Thus, Lorenzo's score on exam was 75.

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