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10 questions
Jorge's score on Exam 1 in his statistics class was at the 64th percentile of the scores for all students. His score falls
between the minimum and the first quartile
between the first quartile and the median
between the median and the third quartile
between the third quartile and the maximum
at the mean score for all students
When Sam goes to a restaurant, he always tips the server $2 plus 10% of the cost of the meal. If Sam's distribution of meal costs has a mean of $9 and a standard deviation of $3, what are the mean and standard deviation of his tip distribution?
$2.90, $0.30
$2.90, $2.30
$9.00, $3.00
$11.00, $2.00
$2.00, $0.90
Scores on the ACT college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. Wayne's standardized score on the ACT was -0.6. What was Wayne's actual ACT score?
3
13
16
18
24
George's average bowling score is 180; he bowls in a league where the average for all bowlers is 150 and the standard deviation is 20. Bill's average bowling score is 190; he bowls in a league where the average is 160 and the standard deviation is 15. Who ranks higher in his own league? Bill or George?
Bill, because his 190 is higher than George's 180.
Bill, because his standardized score is higher than George's.
Bill and George have the same rank in their leagues, because both are 30 pins above the mean.
George, because his standardized score is higher than Bill's.
George, because the standard deviation of bowling scores is higher in his league.
If a dot plot of data is skewed right, what shape will the dot plot be if we subtract 10 from each of the data points?
skewed left
skewed right
symmetrical
we would need more information
Sandra scored a 65% on her first Physics exam. The class mean was a 62% with a standard deviation of 8%. Calculate Sandra's z-score.
3
-0.375
0.375
-3
Wyatt Stanley's height is at a z-score of -.75. What does this mean?
He is .75 inches below the mean of all children.
He is .75 standard deviations below the mean of other children his age.
He is .75 standard deviations below the mean of all children.
He is .75 inches below the mean of other children his age.
What is the shape of this distribution?
Skewed left
Skewed right
Uniform
Symmetrical
If we took a distribution of points and added 20 to each point, what would change?
Shape
Mean
Range
Standard Deviation
A symmetrical distribution has a mean of 6 and a standard deviation of 2. What would be true about this distribution if we multiplied each data point by 2?
Symmetrical, mean = 6, standard deviation =4
Symmetrical, mean = 12, standard deviation =4
Symmetrical, mean = 12, standard deviation =2
Symmetrical, mean = 6, standard deviation =2
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