The shadow of a 5-foot tall post is 10 feet long. At the same time, a tree casts a shadow that is 24 feet long. What is the heig
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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.