Deck 15: Basic Statistics

Question 1

The mileage on six vehicles leased for one year were recorded as follows. 25,740 mi, 25,720 mi, 25,810 mi, 25,830 mi, 25,840 mi
What is the mean measurement?

A) 25,540 mi
B) 25,780 mi
C) 103,120 mi
D) 26,000 mi
E) 154,680 mi

Answer 1

25,780 mi

Question 2

Find the mean measurement for the set of measurements. 0.019, 0.118, 0.059, 0.198, 0.228, 0.182, 0.227, 0.331, 0.534, 0.344, 0.197, 0.254

A) 0.300
B) 2.691
C) 0.022
D) 0.224
E) 0.174

Answer 2

0.224

Question 3

Find the mean measurement for the set of measurements. 248, 622, 328, 126, 761, 955, 845, 24, 0.14, 857, 197, 345, 367, 289, 628, 738, 804, 2,889, 212, 485

A) 940
B) 35,701
C) 1,849
D) 1,854
E) 1,879

Answer 3

1,879

Question 4

Find the mean measurement for the set of measurements. 2.3, 8.8, 9.5, 7.5, 10.6, 11.7, 12.9, 13.6, 16.6, 10.7, 12.7, 15.3, 20.9, 21.2, 30.2, 42.5

A) 30.9
B) 16.0
C) 18.0
D) 247.0
E) 15.4

Question 5

Find the mean measurement for the set of measurements. 9,214 m, 9.237 m, 9,294 m, 9.222 m, 9.291 m

A) 46,258 m
B) 9,252 m
C) 9,246 m
D) 37,006 m
E) 9,232 m

Question 6

Find the mean measurement for the set of measurements. $\begin{array} { l } 3,184 ; 448\bar0 ; 2,967 ; 7,636 ; 1,181 ; 6,655 ; 2.168 ; 8,190 ; 5,103 ; 9,662 \\5,106 ; 6,201 ; 1,986 ; 4,039 ; 1,208 ; 3,207 ; 4,6913,307 ; 7,226\end{array}$

A) 88,197
B) 23,210
C) 4,604
D) 4,561
E) 4,642

Question 7

Find the mean measurement for the set of measurements. 6.643 mm, 6.642 mm, 6.652 mm, 6.642 mm, 2.718282 mm

A) 6.300 mm
B) 0.665 mm
C) 6.646 mm
D) 33.228 mm
E) 6.606 mm

Question 8

Find the mean measurement for the set of measurements. 1.001, 1.109, 1.055, 1.064, 1.116, 1.217

A) 0.080
B) 7.677
C) 1.087
D) 0.110
E) 1.097

Question 9

Find the mean measurement for the set of measurements. 21, 53, 76, 46, 63, 26, 55, 82, 97, 36, 12

A) 52
B) 208
C) 46
D) 37
E) 572

Question 10

A trucking company had hauls of the following mileage. 2,032 km, 2,059 km, 2,035 km, 2,026 km, 2,089 km
What is the mean measurement of the hauls?

A) 2,116 km
B) 2,048 km
C) 10,240 km
D) 1,024 km
E) 1,808 km

Question 11

A pharmacist weighed ten different capsules of the same compound and recorded these measurements.  
3,429 mg, 3,442 mg, 3,424 mg, 3,449 mg, 3,443 mg, 3,441 mg, 3,411 mg, 3,422 mg, 3,417 mg, 3,439 mg
What is the mean measurement?

A) 3,192 mg
B) 3,427 mg
C) 34,320 mg
D) 3,432 mg
E) 13,728 mg

Question 12

Find the mean measurement for the set of measurements. $203 \overline { 0 } ; 1,958 ; 2,134 ; 2,233 ; 2,145 ; 1864 ; 1,991,1787$

A) 2,014
B) 2,018
C) 2,013
D) 8,071
E) 16,142

Question 13

A trucking company had 7 items with the following weights.  
753 lb, 835 lb, 1,008 lb, 256 lb, 641 lb, 783 lb, 443 lb
What is the mean measurement?

A) 682 lb
B) 337 lb
C) 674 lb
D) 660 lb
E) 4,718 lb

Question 14

Find the mean measurement for the set of measurements. 0.2639 in., 0.2635 in., 0.2683 in., 0.2624 in., 0.2624 in., 0.2659 in.

A) 0.2900 in.
B) 0.2444 in.
C) 0.5864 in.
D) 1.3220 in.
E) 0.2644 in.

Question 15

Find the mean measurement for the set of measurements. $6,026 ; 505 \overline { 0 } ; 7,103 ; 4,124 ; 608 \overline { 0 } ; 597 \overline { 0 } ; 7,172 ; 5,824 ; 622 \overline { 0 } ; 10,172 ; 908 \overline { 0 } ; 10,175$

A) 6,914
B) 6,916
C) 82,996
D) 3,458
E) 6,872

Question 16

Find the mean measurement for the set of measurements. 47.85 cm, 48.26 cm, 47.53 cm, 47.43 cm

A) 47.77 cm
B) 95.54 cm
C) 51.00 cm
D) 23.88 cm
E) 191.07 cm

Question 17

Find the mean measurement for the set of measurements. 0.88, 0.34, 1.66, 0.77, 1.05, 0.75, 1.11, 1.99, 0.065

A) 0.96
B) 3.88
C) 8.62
D) 3.83
E) 1.40

Question 18

Over an eight day period of time the high temperature of each day was recorded in degrees Fahrenheit as follows. 65, 76, 87, 75, 77, 82, 88, 64.
What is the mean measurement?

A) 616
B) 76
C) 72
D) 77
E) 308

Question 19

Find the mean measurement for the set of measurements.  
1)66, 2.38, 4.18, 7.12, 3.68, 2.84, 4.18, 8.24, 4.71, 3.62, 6.16, 1.83, 4.18, 2.87, 1.04,9.61, 7.77, 6.39

A) 82.46
B) 4.46
C) 22.91
D) 4.58
E) 4.70

Question 20

A tech measured the power usage of six appliances and recorded the following results.  
173 kW, 106 kW, 135 kW, 176 kW, 195 kW, 201 kW
What is the mean measurement?

A) 16 kW
B) 162 kW
C) 175 kW
D) 984 kW
E) 164 kW

Question 21

Find the median measurement for the set of measurements. $0.83$ , $0.36$ , $1.68$ , $0.74$ , $1.05$ , $0.76$ , $1.11$ , $1.94$ , $0.064$

A) $0.7$
B) $0.83$
C) $0.9$
D) $0.93$
E) $1.7$

Question 22

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 7th percentile.  



$\begin{array}{ | c | } \hline { \text { Ranked data } } \\\hline\begin{array}{lllll}12 & 48 & 82 & 123 & 148 \\19 & 53 & 85 & 123 & 148 \\22 & 55 & 89 & 126 & 153 \\24 & 56 & 98 & 130 & 154 \\31 & 58 & 102 & 130 & 159 \\33 & 66 & 103 & 131 & 161 \\36 & 66 & 105 & 136 & 166 \\38 & 74 & 109 & 140 & 166 \\44 & 78 & 116 & 143 & 172 \\47 & 78 & 121 & 146 & 175\\\end{array}\\\hline\end{array}$

A) 12
B) 38
C) 19
D) 24
E) 55

Question 23

Find the median measurement for the set of measurements. $21$ , $51$ , $7$ , $44$ , $66$ , $26$ , $56$ , $85$ , $92$ , $33$ , $18$

A) $27$
B) $61$
C) $44$
D) $51$
E) $64$

Question 24

Find the median measurement for the set of measurements. $2.1$ , $8.7$ , $9.2$ , $7.2$ , $10.4$ , $11.3$ , $12.4$ , $13.7$ , $16.2$ , $10.9$ , $12.7$ , $15.2$ , $20.3$ , $2$ , $30.3$ , $42.4$

A) $13.85$
B) $14.55$
C) $16.25$
D) $12.55$
E) $14.95$

Question 25

The mileage on six vehicles leased for one year were recorded as follows. What is the mean measurement?

Question 26

A trucking company had hauls of the following distances. $2,019$ km, $2,007$ km, $2,101$ km, $2,022$ km, $2,032$ km What is the median measurement of the hauls?

A) $2,022$ km
B) $2,072$ km
C) $2,019$ km
D) $2,007$ km
E) $2,032$ km

Question 27

Find the median measurement for the set of measurements. $0.011$ , $0.117$ , $0.058$ , $0.192$ , $0.224$ , $0.188$ , $0.227$ , $0.335$ , $0.532$ , $0.343$ , $0.196$ , $0.253$

A) $0.247$
B) $0.186$
C) $0.223$
D) $0.21$
E) $0.23$

Question 28

Find the median measurement for the set of measurements. $6.646$ mm, $6.64$ mm, $6.655$ mm, $6.652$ mm, $6.649$ mm

A) $6.655$ mm
B) $6.64$ mm
C) $6.649$ mm
D) $6.646$ mm
E) $6.499$ mm

Question 29

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 67th percentile.  



$\begin{array}{ | c | } \hline { \text { Ranked data } } \\\hline\begin{array}{lllll}15 & 50 & 81 & 122 & 148 \\16 & 53 & 87 & 123 & 148 \\20 & 55 & 94 & 126 & 152 \\27 & 55 & 98 & 130 & 154 \\31 & 60 & 99 & 131 & 159 \\31 & 63 & 102 & 133 & 161 \\36 & 68 & 105 & 138 & 166 \\40 & 72 & 110 & 141 & 168 \\42 & 75 & 118 & 143 & 172 \\48 & 80 & 118 & 146 & 177\\\end{array}\\\hline\end{array}$

A) 177
B) 130
C) 119
D) 152
E) 133

Question 30

A technician measured the power usage of six appliances and recorded the following results. $104$ kW, $202$ kW, $174$ kW, $163$ kW, $187$ kW, $122$ kW What is the median measurement?

A) $192.5$ kW
B) $178.5$ kW
C) $168.5$ kW
D) $155.5$ kW
E) $205.5$ kW

Question 31

A pharmacist weighed ten different capsules of the same compound and recorded these measurements. $3,432$ mg, $3,451$ mg, $3,445$ mg, $3,457$ mg, $3,438$ mg, $3,446$ mg, $3,422$ mg, $3,416$ mg, $3,411$ mg, $3,429$ mg What is the median measurement?

A) $3,445$ mg
B) $3,459$ mg
C) $3,422$ mg
D) $3,398$ mg
E) $3,435$ mg

Question 32

Find the median measurement for the set of measurements. $47.64$ cm, $48.27$ cm,   $47.93$ cm, $47.86$ cm

A) $47.655$ cm
B) $47.895$ cm
C) $47.765$ cm
D) $47.995$ cm
E) $48.265$ cm

Question 33

Find the median measurement for the set of measurements.   $244$ , $623$ , $322$ , $122$ , $763$ , $959$ , $846$ , $29,006$ , $853$ , $194$ , $343$ , $364$ , $283$ , $628$ , $733$ , $804$ , $44,409$ , $213$ , $488$

A) $384$
B) $251$
C) $290$
D) $401$
E) $364$

Question 34

Find the median measurement for the set of measurements. $3,185$ ; $448 \overline { 0 }$ ; $2,961$ ; $7,638$ ; $1,189$ ; $6,653$ ; $2,168$ ; $8,191$ ; $5,103$ ; $9,665$ ; $5,108$ ; $6,208$ ; $1,988$ ; $4,037$ ; $1,205$ ; $3,208$ ; $4,696$ ; $3,309$ ; $7,227$

A) $1,189$
B) $4,480$
C) $4,430$
D) $7,638$
E) $2,961$

Question 35

A trucking company had seven items with the following weights. $729$ lb, $471$ lb, $258$ lb, $781$ lb, $1,006$ lb, $809$ lb, $918$ lb What is the median measurement?

A) $809$ lb
B) $781$ lb
C) $471$ lb
D) $729$ lb
E) $791$ lb

Question 36

Find the median measurement for the set of measurements. $9,233$ m, $9,228$ m, $9,247$ m, $9,238$ m, $9,232$ m

A) $9,283$ m
B) $9,238$ m
C) $9,233$ m
D) $9,228$ m
E) $9,247$ m

Question 37

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 66th percentile.  



$\begin{array}{ | c | } \hline { \text { Ranked data } } \\\hline\begin{array}{lllll}14 & 50 & 85 & 123 & 147 \\16 & 51 & 88 & 125 & 150 \\21 & 51 & 93 & 126 & 151 \\25 & 56 & 99 & 129 & 155 \\29 & 58 & 102 & 131 & 159 \\31 & 60 & 103 & 132 & 162 \\37 & 67 & 106 & 135 & 166 \\39 & 73 & 113 & 141 & 169 \\42 & 75 & 117 & 142 & 173 \\45 & 79 & 121 & 144 & 177\\\end{array}\\\hline\end{array}$

A) 126
B) 106
C) 113
D) 117
E) 67

Question 38

The mileage on six vehicles leased for one year were recorded as follows. $25,750$ mi, $25,790$ mi, $25,850$ mi, $25,720$ mi, $25,660$ mi, $25,870$ mi What is the median measurement?

A) $26,141$ mi
B) $25,657$ mi
C) $25,770$ mi
D) $25,870$ mi
E) $25,529$ mi

Question 39

A trucking company had hauls of the following mileage. What is the mean measurement of the hauls?

Question 40

Find the median measurement for the set of measurements. $203 \overline { 0 }$ , $1,955$ , $2,135$ , $2,238$ , $2,147$ , $1,869$ , $1,999$ , $1,784$

A) $1,901.5$
B) $2,214.5$
C) $1,771.5$
D) $2,014.5$
E) $2,385.5$

Question 41

Find 53% of 360^o Round your answer to the nearest tenth.

A) 169.2^o
B) 180.0^o
C) 201.4^o
D) 198.0^o
E) 190.8^o

Question 42

Of 1,859 students, 210 are taking technical physics. What angle of a circle would show the percent of students taking technical physics? Round your answer to the nearest tenth.

A) 40.7^o
B) 32.5^o
C) 43.8^o
D) 34.9^o
E) 21.9^o

Question 43

A department spends $16,349 of its $181,500 budget for supplies. What angle of a circle would show the percent of money the department spends on things other than supplies? Round your answer to the nearest tenth.

A) 328.1^o
B) 328.0^o
C) 327.6^o
D) 327.8^o
E) 164.0^o

Question 44

Find the median measurement for the set of measurements. , , , , , , , , , , , , , , , , , ,

Question 45

Of 686 students, 362 are taking mathematics. What angle of a circle would show the percent of students taking mathematics? Round your answer to the nearest tenth.

A) 223.0^o
B) 203.6^o
C) 190.0^o
D) 207.3^o
E) 360.0^o

Question 46

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 4th percentile.
 

Question 47

Find the median measurement for the set of measurements. , , , , , , , , , , ,

Question 48

Find the median measurement for the set of measurements. mm, mm, mm, mm, mm
__________ mm

Question 49

In one month, the sales of calculators were as follows:   $$\begin{array} { l l r l } \text { Brand } A : & 31 & \text { Brand } D : & 78 \\\text { Brand } B : & 56 & \text { Brand } E : & 42 \\\text { Brand } C : & 14 &\end{array}$$ What central angle of a circle graph would show Brand B's sales as a percent of the total sales for the month?
Round your answer to the nearest tenth.

A) 106.2^o
B) 99.2^o
C) 91.2^o
D) 83.2^o
E) 73.2^o

Question 50

Find 65% of 360^o

A) 306^o
B) 270^o
C) 234^o
D) 247^o
E) 198^o

Question 51

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 72nd percentile.

Question 52

Find 39.1% of 360^o Round your answer to the nearest tenth.

A) 158.8^o
B) 144.4^o
C) 148.6^o
D) 140.8^o
E) 148.0^o

Question 53

Find the median measurement for the set of measurements. m, m, m, m, m
__________ m

Question 54

Find 31% of 360^o Round your answer to the nearest tenth.

A) 90.0^o
B) 82.8^o
C) 117.8^o
D) 111.6^o
E) 108.0^o

Question 55

Of 5,000 TV sets, 227 are found to be defective. What angle of a circle would show the percent of defective TV sets? Round your answer to the nearest tenth.

A) $16.3 ^ { \circ }$
B) $15.8 ^ { \circ }$
C) $32.7 ^ { \circ }$
D) $16.0 ^ { \circ }$
E) $14.3 ^ { \circ }$

Question 56

Find 48.7% of 360^o Round your answer to the nearest tenth.

A) 185.1^o
B) 164.5^o
C) 150.1^o
D) 175.3^o
E) 160.9^o

Question 57

Candidate A was one of four candidate in an election. Of 28,405 votes cast, 4,840 were for Candidate A. What angle of a circle would show the percent of votes not cast for Candidate A? Round your answer to the nearest tenth.

A) 305.9^o
B) 300.3^o
C) 307.2^o
D) 152.9^o
E) 298.7^o

Question 58

The following list gives 50 pieces of ranked data (ranked from smallest to largest). Find the 49th percentile.
 

Question 59

Find the median measurement for the set of measurements. cm, cm, cm, cm
__________ cm

Question 60

Find 18.2% of 360^o Round your answer to the nearest tenth.

A) 58.3^o
B) 69.2^o
C) 51.1^o
D) 65.52^o
E) 43.9^o

Question 61

Draw a circle graph. In the United States for 2000, the percentage of national household income by quintiles was as follows: 1st, 4%; 2nd, 17.1%; 3rd, 36.7%; 4th, 24.4%; 5th, 17.8%.

A)
B)
C)
D)

Question 62

Draw a circle graph. Depict the suggested semester credit-hour requirements for a community college curriculum in industrial technology as shown in the table.   $\begin{array}{c}\text { Course }\\\begin{array}{|l|l|l|l|l|}\hline &\text { Mathematics } & \text { Applied science } & \text { Technical specialties } & \text { General education courses } \\\hline\text { Semester hours }& 9 & 6 & 34 & 11\\\hline\end{array}\end{array}$

A)
B)
C)
D)

Question 63

Draw a circle graph. In 1999, U.S. nonfarm employment was as follows: manufacturing, 17.3 million
Other goods-producing industries, 5.1 million
Private service producing industries, 79.1 million
Government, 21 million

A)
B)
C)
D)

Question 64

A bag contains 1 red marble, 1 blue marble, 1 green marble, 1 black and 1 white marble. What is the probability of drawing 1 red marble, replacing it, and then drawing a red marble again?

A) $\frac { 1 } { 9 }$
B) $\frac { 1 } { 25 }$
C) $\frac { 1 } { 16 }$
D) $\frac { 1 } { 4 }$
E) $\frac { 1 } { 17 }$

Question 65

A card is drawn and replaced three times from a deck of 52 cards. What is the probability of getting 3 aces?

A) $\frac { 1 } { 2,200 }$
B) $\frac { 1 } { 2,202 }$
C) $\frac { 1 } { 2,190 }$
D) $\frac { 1 } { 2,199 }$
E) $\frac { 1 } { 2,197 }$

Question 66

The highest level of education for persons age 25 and older in some state in 2004 can be found in the data below. Draw a circle graph.   $\begin{array} { | l | l | l | l | l | l | } \hline \text { 8th grade or less } & 5.0 \% & \text { Some high school } & 8.5 \% & \text { High school graduate } & 32.3 \% \\\hline \text { Some college } & 15.5 \% & \text { Associate degree } & 7.5 \% & \text { Bachelor's degree } & 18.4 \% \\\hline \text { Master's degree } & 9.5 \% & \text { Doctoral degree } & 1.0 \% & \text { Professional degree } & 2.3 \% \\\hline\end{array}$

A)
B)
C)
D)
E)

Question 67

A large box of vegetables contains 7 tomatoes, 3 heads of lettuce, and 8 onions. A vegetable is chosen at random and then placed back in the box, and a second vegetable is picked. What is the probability of choosing a tomato and an onion?

A) $\frac { 14 } { 81 }$
B) $\frac { 81 } { 972 }$
C) $\frac { 28 } { 81 }$
D) $\frac { 81 } { 81 }$
E) $\frac { 1 } { 324 }$

Question 68

A card is chosen from a deck of 52 cards and placed back in the deck, and a second card is chosen from the deck. What is the probability of drawing the king of diamonds and the queen of clubs?

A) $\frac { 2 } { 2,573 }$
B) $\frac { 1 } { 39 }$
C) $\frac { 1 } { 2,573 }$
D) $\frac { 1 } { 2,734 }$
E) $\frac { 1 } { 2,704 }$

Question 69

Draw a circle graph. A company interviewed its 478 employees to find the toughest day to work of a five-day work week as shown in the table.   $\begin{array} { | l | l | l | l | l | l | } \hline & \text { Monday } & \text { Tuesday } & \text { Wednesday } & \text { Thursday } & \text { Friday } \\\hline \text { Number } & 260 & 39 & 51 & 42 & 86 \\\hline\end{array}$

A)
B)
C)
D)

Question 70

A card is chosen from a deck of 52 cards. It is put back in the deck and a second card is chosen. What is the probability of an ace and a 2?

A) $\frac { 1 } { 13 }$
B) $\frac { 1 } { 8 }$
C) $\frac { 2 } { 169 }$
D) $\frac { 2 } { 13 }$
E) $\frac { 1 } { 169 }$

Question 71

Two dice are rolled. What is the probability of getting two 5s?

A) $\frac { 1 } { 36 }$
B) $\frac { 1 } { 31 }$
C) $\frac { 1 } { 39 }$
D) $\frac { 1 } { 38 }$
E) $\frac { 1 } { 29 }$

Question 72

A card is chosen from a deck of 52 cards and then placed back in the deck, and a second card is chosen. What is the probability of drawing 2 queens?

A) $\frac { 1 } { 185 }$
B) $\frac { 1 } { 39 }$
C) $\frac { 1 } { 24 }$
D) $\frac { 1 } { 169 }$
E) $\frac { 1 } { 165 }$

Question 73

A coin is tossed, and a die is thrown. What is the probability of a head and a 1?

A) $\frac { 5 } { 17 }$
B) $\frac { 1 } { 3 }$
C) $\frac { 1 } { 6 }$
D) $\frac { 1 } { 12 }$
E) $\frac { 1 } { 17 }$

Question 74

A bag contains 10 green marbles, 4 white marbles, and 6 red marbles. A marble is removed and then placed back in the bag, and a second marble is picked. What is the probability of getting a green marble and a red marble?

A) $\frac { 3 } { 20 }$
B) $\frac { 3 } { 10 }$
C) $\frac { 3 } { 50 }$
D) $\frac { 1 } { 400 }$

Question 75

The 2022 projected population data for the regions of the world are as follows in millions: North America, 437.7
South America, 433.4
Africa, 1,154.7
Europe, 705.2
Asia, 5,876.3
Oceania, 37.9
Draw a circle graph.

A)
B)
C)
D)
E)

Question 76

A card is drawn and replaced four times from a deck of 52 cards. What is the probability of getting a 4 of clubs?

A) $\frac { 1 } { 256 }$
B) $\frac { 1 } { 258 }$
C) $\frac { 1 } { 255 }$
D) $\frac { 1 } { 253 }$
E) $\frac { 1 } { 251 }$

Question 77

Draw a circle graph. In 1996, the values, in millions of dollars, of crop output for farms in the United States were as follows: food grains, 11,666
Food crops, 20,065
Cotton, 7,342
Oil crops, 17,703
Tobacco, 4,900
Fruits and tree nuts, 11,593
Vegetables, 14,491
All other, 15,737

A)
B)
C)
D)

Question 78

Three out of ten motorcyclists wear safety helmets. If two motorcyclists are chosen, what is the probability that both wear a safety helmet?

A) $\frac { 1 } { 10 }$
B) $\frac { 9 } { 80 }$
C) $\frac { 1 } { 70 }$
D) $\frac { 9 } { 100 }$
E) $\frac { 9 } { 70 }$

Question 79

In 2000 the United States population by age was as follows: under: 15, 22.2%; 15-29, 21%; 30-44, 25.3%; 45-59, 15.8%; 60-74, 10%; 75
And over, 5.7%.

A)
B)
C)
D)

Question 80

Four dice are rolled. What is the probability of getting 24?

A) $\frac { 1 } { 1,293 }$
B) $\frac { 1 } { 1,301 }$
C) $\frac { 1 } { 1,296 }$
D) $\frac { 1 } { 1,294 }$
E) $\frac { 1 } { 1,289 }$