# MA260 questions and guide

August 30, 2017

Question
Question 1 of 20

5.0 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?

A. .500

B. .833

C. .348

D. There is insufficient information to answer the question

Question 2 of 20

5.0 Points

The students in Hugh Logan’s math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score.

552 593358 352 537

349 357 596 470 482

A. 446.8

B. 474.6

C. 462.8

D. 464.6

Question 3 of 20

5.0 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?

A. 5.80

B. 5.00

C. 7.60

D. None of the previous

Question 4 of 20

5.0 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.

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Who had the best conviction percentage in June?

A. Al

B. Joe

C. They are equal

D. Cannot tell by the data available

Question 5 of 20

5.0 Points

The following data set is the GPAs of the students in a statistics class.

1.93, 1.99, 2.00, 2.04, 2.12, 2.34, 2.55, 2.55, 2.75, 2.75,

2.80, 2.80, 2.85, 3.02, 3.12, 3.22, 3.31, 3.33, 3.45, 3.69

What percentile is a GPA of 2.34?

Question 6 of 20

5.0 Points

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

A. 43

B. 49

C. 20

D. 22 Reset Selection

Question 7 of 20

5.0 Points

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

A. 80

B. 40

C. 20

D. None of the above

Question 8 of 20

5.0 Points

Use the range rule of thumb to approximate the standard deviation.

496,598, 503, 528, 565, 601, 576, 543

A. 170.2

B. 60.6

C. 26.25

D. 18.75

Question 9 of 20

5.0 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?

A. 19%

B. 81%

C. Cannot be calculated from the information given

D. None of the above

Question 10 of 20

5.0 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.

.png”>

Who had the best conviction percentage overall?

A. Al

B. Joe

C. They are equal

D. Cannot tell by the data available

Question 11 of 20

5.0 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.

A. \$71. 82

B. \$73.79

C. \$72.81

D. \$71.81

Question 12 of 20

5.0 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?

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 13 of 20

5.0 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?

A. .301

B. .296

C. There is insufficient information to answer the question

D. None of the above

Question 14 of 20

5.0 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 585. What will happen to the mean and the median scores of the class?

A. Neither the mean nor the median will change.

B. Both the median and the mean will increase.

C. The median will increase; the mean will be unchanged.

D. The mean will increase; the median will be unchanged.

Question 15 of 20

5.0 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, 36

A. 4.8

B. 4.2

C. 2.8

D. 1.6

Question 16 of 20

5.0 Points

The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data.

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A. 2.79 in.

B. 3.45 in.

C. 3.35 in.

D. 2.45 in.

Question 17 of 20

5.0 Points

The weights (in ounces) of 21 cookies are shown. Find the median weight.

0.62 1.25 0.60 1.62 0.75 0.74 1.35

1.25 1.53 0.99 0.62 1.25 1.28 0.66

0.47 1.25 0.74 1.28 1.72 0.75 0.56

A. 0.99 ounces

B. 1.01 ounces

C. 0.98 ounces

D. 1.00 ounces

Question 18 of 20

5.0 Points

Use the range rule of thumb to approximate the standard deviation.

22,29, 21, 24, 27, 28, 25, 38

A. 3.50

B. 4.0

C. 4.25

D. 2.8

Question 19 of 20

5.0 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’s 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?

A. 27 mpg

B. 29 mpg

C. 30 mpg

D. 54 mpg

Question 20 of 20

5.0 Points

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 29

A. 29.1

B. 28.0

C. 29.2

D. 29.0

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