James scored 68 on his English class final and was devastated by his failing grade. His...

James scored 68 on his English class final and was devastated by his failing grade. His class distribution had a mean of 55 and a standard deviation of 6. Matt was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 98 with a standard deviation of 7. Who did better relative to their class?

Solutions

Expert Solution

For James

Z-score = X - Mean / standard deviation

= 68 - 55 / 6

= 2.17

For Matt

Z-score = X - Mean / Standard deviation

= 88 - 98 / 7

= -1.43

Z score for James is greater than Z score for Matt.

So, James did better relative to their class.

orchestra answered 1 year ago

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