AP Stats Review Ch2

Suppose the average score on a national exam was 500 with a standard deviation of 100. If each score is increased by 20 points and then increased by 10%, what are the new mean and standard deviation?

• mean = 570, SD = 100

• mean = 570, SD = 110

• mean = 572, SD = 100

• mean = 572, SD = 110

• mean = 572, SD = 132

Suppose the scores of an exam have a mean of 75 and a standard deviation of 8. If one of the students has a test result with a z-score of -1.5 and a second students has a result with a z-score of 2.0, how many points higher was the second student's test result?

• 3.5

• 4

• 12

• 16

• 28

Tags

CCSS.HSS.ID.A.4

Assuming that heights of professional athletes follow an approximate Normal distribution, arrange in ascending order:

I. height with z-score equal to 1

II. height with percentile rank of 80th percentile

III. height at third quartile

• I, II, III

• I, III, II

• II, I, III

• III, I, II

• III, II, I

Tags

CCSS.HSS.ID.A.4

Which of following statements are true?

I. All symmetric histograms have a single peak

II. All symmetric bell-shaped curves are Normal

III. All Normal curves are bell-shaped and symmetric

• I

• II

• III

• I and II

• None of the above gives the complete set of true responses

A student's score on exam 1 was in the 64th percentile. His score falls

• between the minimum and first quartile

• between first quartile and median

• between median and third quartile

• between third quartile and maximum

• at the mean

Tags

CCSS.6.SP.B.5C

Score on the ACT exam are approximately Normal with a mean of 18 and a standard deviation of 6. If you have a z-score of -0.7, then what is your actual score?

• 4.2

• 13.8

• 22.2

• -4.2

• 17.3

Tags

CCSS.HSS.ID.A.4

George has an average bowling score of 180, in a league with a mean of 150 and a standard deviation of 20. Bill has an average 190, in a league with a mean of 160 and standard deviation of 15. Who ranks higher in THEIR league?

• Bill because his average is higher

• Bill because his z-score is higher

• Bill and George are even since they are both 30 pins above the average in their league

• George because his z-score is higher

• George because his league has a higher standard deviation.

Tags

CCSS.HSS.ID.A.4

If 30 is added to every observation in the data set, the only one of the following that is NOT changed is

• the mean

• the 75th percentile

• the median

• the standard deviations

• the minimum

If every observation in a data set is multiplied by 10, the only one of the following that is NOT multiplied by 10 is

• the mean

• the standard deviation

• the median

• the variance

• the IQR