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melomori [17]
3 years ago
12

Evaluate

Mathematics
1 answer:
Yuri [45]3 years ago
6 0

Answer:

what is this

Step-by-step explanation:

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3 years ago
Bob's exam score was 2.17 standard deviations above the mean. the exam was taken by 200 students. assuming a normal distribution
Lemur [1.5K]

The <em><u>correct answer</u></em> is:

1.5% of the scores, or 3 people.

Explanation:

A z-score tells the number of standard deviations a data point is from the mean. Since Bob's score is 2.17 standard deviations above the mean, that means his z-score is 2.17.

Using a z-table, we find the probability that a score would be to the left of, or less than, this value. In the table, this is 0.9850. However, we are interested in the number of people that scored <em>higher</em> than Bob. This means we subtract this from 1:

1-0.9850 = 0.015.

This is the percentage of people that scored higher than Bob. To convert to a percent, multiply by 100:

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To find the number of people that scored higher than Bob, take 1.5% of 200:

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3 0
3 years ago
Read 2 more answers
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