AP Statistics › How to find descriptive data from a z-score
Your professor gave back the mean and standard deviation of your class's scores on the last exam.
Your friend says the z-score of her exam is .
What did she score on her exam?
All of the students at a high school are given an entrance exam at the beginning of 9th grade. The scores on the exam have a mean of and a standard deviation of
. Sally's z-score is
. What is her score on the test?
Your boss gave back the mean and standard deviation of your team's sales over the last month.
Your friend says the z-score of her number of sales is .
How many sales did she make?
Your teacher gives you the z-score of your recent test, and says that the mean score was a 60, with a standard deviation of 6. Your z-score was a -2.5. What did you score on the test?
There are four suspects in a police line-up, and one of them committed a robbery. The suspect is described as "abnormally tall". In this case, "abnormally" refers to a height at least two standard deviations away from the average height. Their heights are converted into the following z-scores:
Suspect 1: 2.3
Suspect 2: 1.2
Suspect 3: 0.2
Suspect 4: -1.2.
Which of the following suspects committed the crime?
The following data set represents Mr. Marigold's students' scores on the final. The standard deviation for this data set is 8.41. If you scored 0.91 standard deviations worse than the mean, what was your score?
A value has a -score of
. The value is . . .