Deck 8: Basic Statistics

Question 1

Find the mean.

-Find the mean of the following set of numbers:
$4,6,10,6,13,10$
Round to the nearest tenth if necessary.

A) 8.7
B) 8.2
C) 9.8
D) 6.7

Answer 1

8.2

Question 2

Find the mean.

-Find the mean of the following set of numbers:
$63,73,49,69,46$

A) 63
B) 50
C) 60
D) 60.6

Answer 2

60

Question 3

Find the mean.

-Find the mean of the following set of numbers:
$7)8,8.4,5.8,8.4,5.6$
Round to the nearest tenth if necessary.

A) 7.2
B) 8.4
C) 6
D) 7.8

Answer 3

7.2

Question 4

Find the mean.

-Find the mean of the following set of numbers:
$-1,-5,0,2,-4$
Round to the nearest tenth if necessary.

A) -2.4
B) -1.6
C) 0.4
D) -2

Question 5

Find the mean.

-Find the mean of the following set of numbers:
$4 \frac{1}{6}, 2,4 \frac{1}{2}, 2 \frac{5}{6}, 2 \frac{1}{2}$
Write the answer as a mixed number.

A) $3 \frac{3}{5}$
B) $3 \frac{1}{5}$
C) 4
D) 3

Question 6

Find the mean.

-Find the mean of the following scores on a math test: $73,54,73,93,54$
Round to the nearest whole number if necessary.

A) 54
B) 69
C) 93
D) 68

Question 7

Find the mean.

-Find the mean of the following annual sales bonuses:
$\$ 6070, \$ 4960, \$ 2460, \$ 5450, \$ 7630, \$ 5990$
Round to the nearest dollar if necessary.

A) $\$ 5427$
B) $\$ 5450$
C) $\$ 2460$
D) $\$ 5426$

Question 8

Find the mean.

-Find the mean of the following attendance figures for hockey games:
30,966, 23,544, 29,050, 33,728
Round to the nearest whole number if necessary.

A) 29,321 people
B) 30,966 people
C) 29,322 people
D) 23,544 people

Question 9

Find the mean.

-Jill made purchases for the following amounts: $\$ 28.00, \$ 16.25, \$ 29.00, \$ 23.70, \$ 17.70$ . What was the mean amount of her purchases? Round to the nearest cent.

A) $\$ 22.93$
B) $\$ 23.70$
C) $\$ 28.66$
D) $\$ 19.11$

Question 10

Find the mean.

-The local Tupperware dealers earned these commissions last month: $ 2821.68, $ 4710.57, $ 4822.19, $ 2773.78, $ 2723.53, $ 4441.26, $3157.61, $2701.26, $1658.73, $3342.19. What was the mean commission earned? Round your answer to the nearest cent.

A) $\$ 3309.28$
B) $\$ 3683.64$
C) $\$ 3315.28$
D) $\$ 4144.10$

Question 11

Find the median of the set of numbers.

- $1,9,18,25,31,32,47$

A) 31
B) 18
C) 23
D) 25

Question 12

Find the median of the set of numbers.

- $23,63,33,90,59,63,27$

A) 51
B) 63
C) 59
D) 33

Question 13

Find the median of the set of numbers.

- $69,112,242,222,309,483$

A) 242
B) 222
C) 232
D) 205.5

Question 14

Find the median of the set of numbers.

- $9,8,26,14,27,43,38,31$

A) 27
B) 26
C) 26.5
D) 24.5

Question 15

Find the median of the set of numbers.

- $2.9,4.9,7.5,4.5 \quad$ Round to the nearest tenth when necessary.

A) 4.5
B) 4.9
C) 4.7
D) 5.2

Question 16

Find the median of the set of numbers.

- $19.3,19.4,18.6,18.7,19.3,18.5 \quad$ Round to the nearest hundredth when necessary.

A) 19.3
B) 19
C) 38
D) 18.7

Question 17

Find the median of the set of numbers.

- $1 \frac{3}{4}, 1,1 \frac{2}{3}, 1 \frac{3}{4}, 1 \frac{1}{2}$

A) $1 \frac{1}{2}$
B) $1 \frac{1}{4}$
C) $1 \frac{3}{4}$
D) $1 \frac{2}{3}$

Question 18

Find the median of the set of numbers.

- $-3,3,0,-6,-8$

A) -6
B) -3
C) 3
D) -4.5

Question 19

Find the median of the set of numbers.

-Number of steaks served: 1, 46, 10, 31, 37, 8, 29,

A) 29 steaks
B) 31 steaks
C) 10 steaks
D) 23 steaks

Question 20

Find the median of the set of numbers.

-Newspapers delivered each day: 95, 61, 226, 161, 297, 243, 237

A) 161 newspapers
B) 237 newspapers
C) 189 newspapers
D) 226 newspapers

Question 21

Find the median of the set of numbers.

-Number of video tapes borrowed each day: 89, 131, 235, 253, 452, 489

A) 235 video tapes
B) 235.5 video tapes
C) 244 video tapes
D) 253 video tapes

Question 22

Find the median of the set of numbers.

-Number of phone calls made each day: $8,8,22,10,26,45,37,32$

A) 24 calls
B) 22 calls
C) 23.5 calls
D) 26 calls

Question 23

Find the mode of the set of numbers.

- $5,9,99,3,2,8,61,1,4,16$

A) 9
B) 20.2
C) 8
D) No mode

Question 24

Find the mode of the set of numbers.

- $20,40,46,40,49,40,49$

A) 40
B) 40.6
C) 46
D) 49

Question 25

Find the mode of the set of numbers.

- $149,141,156,149,188,199,162$

A) 156
B) 97
C) 141
D) 149

Question 26

Find the mode of the set of numbers.

- $82,25,82,13,25,29,56,82$

A) 49.3
B) 82
C) 25
D) 42.5

Question 27

Find the mode of the set of numbers.

- $\$ 86, \$ 68, \$ 32, \$ 68, \$ 29, \$ 86$

A) $\$ 68$
B) $\$ 86$
C) $\$ 61.50$
D) $\$ 86, \$ 68$

Question 28

Find the mode of the set of numbers.

- $1.4,0.4,0.6,1.4,0.2,1.6,0.2,1.7,2.1$

A) 1.4
B) 1.1
C) 0.2 and 1.4
D) 0.2

Question 29

Find the mode of the set of numbers.

- $8 \frac{2}{3}, 8 \frac{3}{4}, 8,8 \frac{1}{2}, 8 \frac{3}{4}$

A) $8 \frac{3}{4}$
B) $8 \frac{2}{3}$
C) No mode
D) $8 \frac{1}{2}$

Question 30

Find the mode of the set of numbers.

- $-1,2,-7,-6,-7,0,-7$

A) -6
B) -7
C) -7 and 2
D) 2

Question 31

Find the mode of the set of numbers.

-Number of samples taken each day: 5, 9, 98, 3, 2, 8, 63, 1, 4, 16

A) 9 samples
B) No mode
C) 8 samples
D) 20.3 samples

Question 32

Find the mode of the set of numbers.

-Gas bills: $\$ 93, \$ 73, \$ 32, \$ 73, \$ 29, \$ 93$

A) $\$ 65.50$
B) $\$ 93, \$ 73$
C) $\$ 93$
D) $\$ 73$

Question 33

Find the mode of the set of numbers.

-The weights of cross-country runners (in pounds): 131, 141, 156, 131, 188, 199, 162

A) 141 pounds
B) 131 pounds
C) 92 pounds
D) 156 pounds

Question 34

Find the mode of the set of numbers.

-Number of orders of pizza each evening: 63 , 25, 63, 13, 25, 29, 56, 63

A) 42.1 orders
B) 63 orders
C) 25 orders
D) 42.5 orders

Question 35

Find the range of the set of numbers.

- $7,8,7,17,15$

A) 11
B) 8
C) 17
D) 10

Question 36

Find the range of the set of numbers.

- $5,0,14,16,13$

A) 10
B) 29
C) 13
D) 16

Question 37

Find the range of the set of numbers.

- $3.2,5.3,6.3,7.1,6.4$

A) 7.1
B) 3.2
C) 3.9
D) 6

Question 38

Find the range of the set of numbers.

- $0,-10,5,1,-2$

A) 5
B) -1
C) 15
D) -15

Question 39

Find the range of the set of numbers.

- $2 \frac{1}{2}, 1 \frac{1}{4}, 5 \frac{3}{4}, 4,2 \frac{1}{4}$

A) $5 \frac{3}{4}$
B) 2
C) $4 \frac{1}{2}$
D) $2 \frac{1}{4}$

Question 40

Find the range of the set of numbers.

- $-3,-5,-3,-4,-5$

A) 2
B) -2
C) -3
D) -4

Question 41

Find the range of the set of numbers.

-An electronics store sold the following numbers of satellite dishes over the past nine weeks.

A) 4.9
B) 8
C) 9
D) 2

Question 42

Find the range of the set of numbers.

-Each of 8 different dogs had a litter of puppies. The litter sizes are given for each dog. $4,6,3,4,5,4,7,3$

A) 7
B) 4
C) 4.5
D) 3

Question 43

Find the range of the set of numbers.

-Suppose that the following were the amounts you spent on gasoline over the past ten months.

A) $\$ 165$
B) $\$ 88$
C) $\$ 77$
D) $\$ 55$

Question 44

Find the range of the set of numbers.

-Suppose that the following were the amounts you spent on groceries over the past ten months.

A) $\$ 32$
B) $\$ 16$
C) $\$ 56$
D) $\$ 50$

Question 45

Solve.

-Here are a student's grades at the end of semester together with the number of credits for the course: Algebra (3) - C; Modern dance (1) - B; Chemistry I (6) - A; Biology I (6) - A. If A = 4, B = $3, \mathrm{C}=2, \mathrm{D}=1$ , and $\mathrm{F}=0$ , find her grade point average. Round to the nearest tenth if necessary.

A) 3.7
B) 3.6
C) 9.3
D) 2.4

Question 46

Solve.

-The number of members for ten different chapters of an outdoor club are shown below. Find the mean number of members. Round to the nearest tenth if necessary.
$646~546~343~344~571\\357~355~506~470~482$

A) 462.0
B) 452.9
C) 476.0
D) 471.4

Question 47

Solve.

-A class has 25 students. On a test, 3 students earned a 90, 8 students earned an 80,10 students earned a 70, 3 students earned a 60, and you earned a 75 . How did your score relate to the average (mean) of the class. Explain.

A) The grade was above the class average of 71.6.
B) The grade was exactly the same as the class average of 75 .
C) The grade was below the class average of 77.8.
D) The grade was above the class average of 74.6 .

Question 48

Solve.

-A county commission is made up of 15 members. Each member represents a district. The county's total population is 390,000. Joe is a county commissioner and his district has 19,500 people in it. Compare his district size to the average (mean) district size for the county.

A) Joe's district is exactly the same size as the county average.
B) Joe's district is smaller than the county average of 27,300 .
C) Joe's district is smaller than the county average of 26,000 .
D) Joe's district is larger than the county average of 2600 .

Question 49

Solve.

-There are 8 people in the room. Three weigh more than you and 3 weigh less than you. One person weighs the same as you. Who has the median weight in the room?

A) You and the person who weighs the same as you have the median weight.
B) Only you have the median weight.
C) The heaviest person in the room has the median weight.
D) The weights aren't known, therefore you cannot determine the median weight.

Question 50

Solve.

-Your cable bill increased last year. For the first 5 months your bill was $\$ 26.89$ each month. For the remaining 7 months it was $\$ 28.89$ each month. Find the mean amount of your cable bill for the year.

A) $\$ 33.67$
B) $\$ 28.06$
C) $\$ 27.89$
D) $\$ 336.68$

Question 51

Solve.

-The following table shows the radius of the each of the moons orbiting a planet named Geo I.

What is the mean radius of the moons? Round to the nearest whole number.

A) $957 \mathrm{mi}$
B) $520 \mathrm{mi}$
C) $311 \mathrm{mi}$
D) $728 \mathrm{mi}$

Question 52

Solve.

-The table shows the number of car accidents last year in each of six different towns.

Find the median number of accidents.

A) 199.5
B) 237
C) 212
D) 262

Question 53

Solve.

-The table shows the monthly revenue (in millions) for a software company for the first nine months of a recent year.

Find the mode of the monthly revenues.

A) $\$ 18.7$ million
B) $18.9 million
C) $\$ 19.3$ million
D) $19.1 million

Question 54

Solve.

-The table shows one family's utility bills for the first nine months of the year.

Find the range.

A) $\$ 513$
B) $\$ 94$
C) $\$ 120$
D) $\$ 508$

Question 55

Use the table to solve the problem.

-
Find the average distance from Geo I to its moon Luna 1.

A) $415 \mathrm{~km}$
B) $60,000 \mathrm{~km}$
C) $3000 \mathrm{~km}$
D) $3900 \mathrm{~km}$

Question 56

Use the table to solve the problem.

-
What is the time of revolution around Geo 1 of the moon Luna 4 ?

A) 727 years
B) 1.54 years
C) 87.78 years
D) 34.09 years

Question 57

Use the table to solve the problem.

-
Which moon has a diameter of 314 kilometers?

A) Luna 1
B) Luna 4
C) Luna 3
D) Luna 2

Question 58

Use the table to solve the problem.

-The following table gives the area of several lakes in acres.

How many times as large as the smallest lake is the largest lake? Round to the nearest hundredth.

A) 0.08 times
B) 821 times
C) 12.25 times
D) 10 times

Question 59

Use the table to solve the problem.

-The following table gives the road distances between various cities.

How far is Ashland from Grand Junction?

A) 235 miles
B) 224 miles
C) 94 miles
D) 159 miles

Question 60

Use the table to solve the problem.

-The following table gives the road distances between various cities.

Brownsville is how much closer to San Pedro than to Ashland?

A) 155 miles
B) 83 miles
C) 72 miles
D) 227 miles

Question 61

Use the table to solve the problem.

-The following table is used to determine the minimum payment on a credit card bill.

What is the minimum payment if you owe $\$ 300$ ?

A) $\$ 300$
B) $\$ 30$
C) $\$ 25$
D) $\$ 45$

Question 62

Use the pictograph to answer the question.

-For selected countries, this pictograph shows approximately how many kilograms of seafood is consumed by each person (per capita) annually.

Which country consumes the most seafood?

A) Country E
B) Country B
C) Country A
D) Country C

Question 63

Use the pictograph to answer the question.

-For selected countries, this pictograph shows approximately how many kilograms of seafood is consumed by each person (per capita) annually.

What is the approximate seafood consumption in Country E?

A) 5976 kilograms
B) 6972 kilograms
C) 6723 kilograms
D) 6225 kilograms

Question 64

Use the pictograph to answer the question.

-For selected countries, this pictograph shows approximately how many kilograms of seafood is consumed by each person (per capita) annually.

Approximately how many more kilograms of seafood is eaten per person in Country A than in Country B?

A) 1274 kilograms
B) 882 kilograms
C) 784 kilograms
D) 1176 kilograms

Question 65

Use the pictograph to answer the question.

-For selected countries, this pictograph shows approximately how many kilograms of seafood is consumed by each person (per capita) annually.

People in Country D eat approximately what percent more seafood than people in Country C?

A) $50 \%$
B) $75 \%$
C) $25 \%$
D) $125 \%$

Question 66

Use the pictograph to answer the question.

-This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive years.

In which year will the greatest number of CDs be sold?

A) 2009
B) Not enough information is given.
C) 2011
D) 2014

Question 67

Use the pictograph to answer the question.

-This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive years.

How many sales do $6 \mathrm{CD}$ symbols represent?

A) Not enough information is given.
B) 1000
C) 6
D) 6000

Question 68

Use the pictograph to answer the question.

-This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive years.

Approximately how many CDs will be sold in 2012?

A) $6000 \mathrm{CDs}$
B) $600 \mathrm{CDs}$
C) $9000 \mathrm{CDs}$
D) $6 \mathrm{CDs}$

Question 69

Use the pictograph to answer the question.

-This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive years.
Year Projected CD Sales

Approximately how many fewer CDs will be sold in 2008 than in 2010?

A) $4 \mathrm{CDs}$
B) $60,000 \mathrm{CDs}$
C) $50,000 \mathrm{CDs}$
D) $40,000 \mathrm{CDs}$

Question 70

Use the pictograph to answer the question.

-This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive years.

Between which two years was there the greatest decline in sales?

A) Between 2009 and 2010
B) Between 2010 and 2011
C) Between 2006 and 2007
D) Between 2007 and 2008

Question 71

Use the pictograph to answer the question.

-This pictograph shows projected sales of compact disks (CDs) for a popular rock band for seven consecutive years.

The sales for 2010 were how many times the sales for 2012? Write the answer as a mixed number.

A) $1 \frac{2}{3}$ times
B) $2 \frac{2}{3}$ times
C) 4 times
D) $1 \frac{1}{3}$ times

Question 72

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.


-About how many students are in the College of Arts and Sciences?

A) 1250
B) 1325
C) 1050
D) 1225

Question 73

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.


-How many students are majoring in Math?

A) 300
B) 150
C) 200
D) 250

Question 74

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.


-Are more students majoring in 'Arts' or in 'Sciences'?

A) Arts
B) Sciences

Question 75

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.


-Did twice as many students major in English as in Math?

Question 76

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.


-Did twice as many students major in History as in Science?

Question 77

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.


-Did twice as many students major in Math as in Science?

Question 78

Use the circle graph to solve the problem.

-A survey of the 4396 vehicles on the campus of State University yielded the following circle graph.

What percent of the vehicles are hatchbacks?

A) $28 \%$
B) $6 \%$
C) $36 \%$
D) $158 \%$

Question 79

Use the circle graph to solve the problem.

-A survey of the 2075 vehicles on the campus of State University yielded the following circle graph.

Together, what percent of the vehicles are either vans or convertibles?

A) $5 \%$
B) $126 \%$
C) $23 \%$
D) $14 \%$

Question 80

Use the circle graph to solve the problem.

-A survey of the 6368 vehicles on the campus of State University yielded the following circle graph.

Find the number of convertibles. Round your result to the nearest whole number.

A) 5476
B) 14
C) 573
D) 892