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Last year, a road construction firm hired 11 new employees. Their ages at hiring are listed below. Find the mean hiring age to one decimal place.
23 19 30 33 27 31 58 22 21 26 29Question 1 options:

a)

29.1

b)

28.0

c)

29.2

d)

29.0

Question 2 (5 points)

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
22, 29, 21, 24, 27, 28, 25, 36Question 2 options:

a)

4.8

b)

4.2

c)

2.8

d)

1.6

Question 3 (5 points)

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
15, 42, 53, 7, 9, 12, 14, 28, 47Question 3 options:

a)

29.1

b)

16.6

c)

17.8

d)

15.8

Question 4 (5 points)

The batting averages of the first three batters in the Eureka College women’s softball team lineup are .310, .301, and .277. If the first three batters are considered as the “lead-off group,” what is the batting average of the group?Question 4 options:

a)

.301

b)

.296

c)

There’s insufficient information to answer the question.

d)

None of the above

Question 5 (5 points)

Al and Joe are two county sheriff’s deputies assigned to watch for traffic violations. Their arrest and conviction records for May and June are shown below. Who had the higher conviction percentage in June?
May June  ArrestsConvictionsArrestsConvictionsAl1028040Joe90302012Question 5 options:

a)

Al

b)

Joe

c)

They’re equal.

d)

You can’t tell by the data available.

Question 6 (5 points)

The number of vehicles passing through a pharmacy drive-up line with two windows during each 15-minute period was recorded. The results are shown below. Find the median number of vehicles going through the line in a fifteen-minute period.
16 8 24 22 30 19 18 27 11 15
17 24 26 23 7 25 21 16 20 14Question 6 options:

a)

19.3

b)

20.1

c)

19.5

d)

19.6

Question 7 (5 points)

The host of a dinner party purchases wine based on the weighted average of clarity (10%), bouquet (5%), friendliness to the palate (5%), storage ability of opened bottles (40%), and price (40%). Suppose that Bone Ranch Wave has scores in these categories of 4, 5, 3, 8, and 9, respectively. What is its rating?Question 7 options:

a)

5.80

b)

5.00

c)

7.60

d)

None of the previous

Question 8 (5 points)

Suppose that your income is at the 81st percentile of wage earners in the United States. What percent of wage earners make more than you do?Question 8 options:

a)

19%

b)

81%

c)

Can’t be calculated from the information given

d)

None of the above

Question 9 (5 points)

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the cars it makes. Suppose that the models and mpg numbers for a manufacturer are Corsair (31 mpg), Futura (30 mpg), Retro (37 mpg), and Envy (44 mpg). Twenty percent of the cars sold are Corsairs, 30% are Futuras, 40% are Retros, and 10% are Envys. Find the average mpg for this manufacturer.Question 9 options:

a)

35.5 mpg

b)

34.0 mpg

c)

34.4 mpg

d)

None of the above

Question 10 (5 points)

Find the mode(s) for the given sample data. 20, 49, 46, 43, 49, 43, 49, 20, 22Question 10 options:

a)

43

b)

49

c)

20

d)

22

Question 11 (5 points)

The mathematics SAT scores of the seven students in a mathematics seminar are 538, 550, 570, 593, 610, 622, and 634. Suppose the student with the score 634 drops the seminar and is replaced by a student with a score of 600. What will happen to the mean and the median scores of the class?Question 11 options:

a)

Neither mean nor median will change.

b)

The median will decrease; the mean won’t change.

c)

The median won’t change; the mean will decrease.

d)

Both mean and median will decrease.

Question 12 (5 points)

Al and Joe are two county sheriff’s deputies assigned to watch for traffic violations. Their arrest and conviction records for May and June are shown below. Who had the higher conviction percentage overall?
May June  ArrestsConvictionsArrestsConvictionsAl1028040Joe90302012Question 12 options:

a)

Al

b)

Joe

c)

They’re equal.

d)

You can’t tell by the data available.

Question 13 (5 points)

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg numbers for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government requirement is 27 mpg. The last of the models is to be redesigned to meet the government requirement. What must the new mpg of this model be to meet the requirement?Question 13 options:

a)

27 mpg

b)

29 mpg

c)

30 mpg

d)

54 mpg

Question 14 (5 points)

Suppose that there are 400 students in your school class. What class rank is the 20th percentile?Question 14 options:

a)

80

b)

40

c)

20

d)

None of the above

Question 15 (5 points)

Consider the distribution of mathematics SAT scores of students in honors calculus at a liberal arts college. What would you expect the shape and variation of the distribution to be?Question 15 options:

a)

Symmetric with little variation

b)

Symmetric with large variation

c)

Skewed right with large variation

d)

Skewed left with little variation

Question 16 (5 points)

Find the mode(s) for the given sample data. 7.29, 7.41, 7.56, 7.29, 7.88, 7.99, 7.62Question 16 options:

a)

7.56

b)

7.29

c)

7.577

d)

7.41

Question 17 (5 points)

A softball player has a batting average of exactly .300 and no more than 60 times at bat. Suppose this player gets 5 hits in her next 6 times at bat. What is the highest possible average she could now have?Question 17 options:

a)

.500

b)

.833

c)

.348

d)

There’s insufficient information to answer the question.

Question 18 (5 points)

Consider the distribution of heights of all the players in the National Basketball Association. What would you expect the shape of the distribution to be?Question 18 options:

a)

Skewed right

b)

Skewed left

c)

Symmetric

d)

Multi-peaked

Question 19 (5 points)

The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score 533 drops the seminar and is replaced by a student with a score of 765. What will happen to the mean and the median scores of the class?Question 19 options:

a)

The mean will increase; the median will be unchanged.

b)

The median will increase; the mean will be unchanged.

c)

Neither the mean nor the median will change.

d)

Both the median and the mean will increase.

Question 20 (5 points)

The grocery expenses for six families were $80.86, $47.74, $57.92, $81.08, $75.18, and $88.08. Compute the mean grocery bill. Round your answer to the nearest cent.Question 20 options:

a)

$71. 82

b)

$73.79

c)

$72.81

d)

$71.81

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