Amr recorded the outdoor temperature as -4 degrees Fahrenheit at 7:30 A.M. At noon, it was 22 degrees Fahrenheit. Sal said the t
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Answer:
The score of 92 on a test with a mean of 71 and a standard deviation of 15 is better.
Step-by-step explanation:
To find which score corresponds to the higher relative position, we find the Z-score of each score.
The z-score, which measures how many standard deviation a measure is above or below the mean, is given by the following formula:
In which X is the score, is the mean and
is the standard deviation.
A score of 92 on a test with a mean of 71 and a standard deviation of 15.
So
A score of 688 on a test with a mean of 493 and a standard deviation of 150.
So
Which is better?
Due to the higher z-score, the score of 92 on a test with a mean of 71 and a standard deviation of 15 is better.