Deck 10: Introduction to Statistics

Question 1

Prepare a frequency distribution for the given data with columns for intervals and frequencies.

-A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered stress strokes were as follows. Use 8 intervals starting with 25-29.
29 30 36 41 45 50 57 61 28 50 36 58
60 38 36 47 40 32 58 46 61 40 55 32
61 56 45 46 62 36 38 40 50 27

A)
B)
C)
D)

Answer 1

Question 2

Prepare a frequency distribution for the given data with columns for intervals and frequencies.

-The following is the number of hours students worked per week at after-school jobs. Use five intervals, starting with $0-4$ .
3 7 13 19 20 20 17 14 7 2 6 10 16 24 18 10 4 9 14 19

A)
B)
C)
D)

Answer 2

Question 3

Prepare a frequency distribution for the given data with columns for intervals and frequencies.

-The following is the number of hours students studied per week on average. Use five intervals, starting with $0-4$ .
$\begin{array}{llllllllll}1 & 6 & 13 & 15 & 20 & 21 & 15 & 10 & 9 & 1\end{array}$
$\begin{array}{llllllllll}6 & 12 & 16 & 21 & 18 & 14 & 5 & 10 & 14 & 20\end{array}$

A)
B)
C)
D)

Answer 3

Question 4

Prepare a frequency distribution for the given data with columns for intervals and frequencies.

-On a 25-point math test student scores were as follows. Use five intervals, starting with 0 - 4 .
$\begin{array}{llllllllll}3 & 14 & 16 & 21 & 21 & 16 & 10 & 6 & 2\end{array}$
$\begin{array}{llllllllll}5 & 10 & 17 & 20 & 17 & 13 & 5 & 9 & 15 & 19\end{array}$

A)
B)
C)
D)

Question 5

Prepare a frequency distribution for the given data with columns for intervals and frequencies.

-The following is the number of bonus points that 24 students have gotten for extra work. Use six intervals, starting with 0 - 49. $\begin{array}{llllllllllll}16 & 61 & 116 & 176 & 249 & 236 & 156 & 141 & 55 & 45 & 57 & 262\end{array}$
$\begin{array}{llllllllllll}68 & 146 & 158 & 200 & 192 & 127 & 50 & 99 & 150 & 199 & 156 & 295\end{array}$

A)
B)
C)
D)

Question 6

Construct the specified histogram.

-The frequency table below shows the number of days off in a given year for 30 police detectives.

Construct a histogram.

Question 7

Construct the specified histogram.

-In a survey, 20 voters were asked their age. The results are summarized in the frequency table below. Construct a histogram corresponding to the frequency table.

Question 8

Construct the specified histogram.

-In a survey, 20 people were asked how many magazines they had purchased during the previous year. The results are shown in the frequency distribution below. Construct a histogram.

Question 9

Construct the specified histogram.

-In a survey, 26 voters were asked their age. The results are shown below. Construct a histogram to represent the data. Use 5 intervals.
$\begin{array}{llllllllllll}43 & 56 & 28 & 63 & 67 & 66 & 52 & 48 & 37 & 51 & 40 & 60 & 62\end{array}$
$\begin{array}{llllllllllll}66 & 45 & 21 & 35 & 49 & 32 & 53 & 61 & 53 & 69 & 31 & 48 & 59 \end{array}$

Question 10

Construct a frequency polygon.

-

A)
B)

Question 11

Construct a frequency polygon.

-

A)
B)

Question 12

Construct a frequency polygon.

-

A)
B)

Question 13

Construct a frequency polygon.

-

A)
B)

Question 14

Construct a-stem and leaf display for the given data table.

- $\begin{array}{llllllllll}11 & 32 & 60 & 18 & 63 & 24 \end{array}$
$\begin{array}{llllllllll}41 & 21 & 34 & 29 & 45 & 16 \end{array}$
$\begin{array}{llllllllll}55 & 48 & 52 & 34 & 59 & 13 \end{array}$

Question 15

Construct a-stem and leaf display for the given data table.

- $\begin{array}{llllllllll}34 & 12 & 62 & 14 & 63 & 26 \end{array}$
$\begin{array}{llllllllll}44 & 21 & 34 & 28 & 44 & 17 \end{array}$
$\begin{array}{llllllllll}33 & 19 & 67 & 69 & 56 & 13 \end{array}$

Question 16

Construct a-stem and leaf display for the given data table.

- $\begin{array}{llllllllll}56 & 72 & 40 & 42 & 62 \end{array}$
$\begin{array}{llllllllll}37 & 31 & 42 & 63 & 81 \end{array}$
$\begin{array}{llllllllll}38 & 36 & 48 & 67 & 83 \end{array}$
$\begin{array}{llllllllll}44 & 73 & 58 & 56 & 51 \end{array}$

Question 17

Construct a-stem and leaf display for the given data table.

- $\begin{array}{llllllllll}40 & 21 & 82 & 88 & 50 \end{array}$
$\begin{array}{llllllllll}22 & 62 & 79 & 45 & 77 \end{array}$
$\begin{array}{llllllllll}35 & 16 & 24 & 82 & 57 \end{array}$
$\begin{array}{llllllllll}68 & 57 & 64 & 35 & 16 \end{array}$
$\begin{array}{llllllllll}18 & 29 & 75 & 72 & 45 \end{array}$

Question 18

Describe the shape of the given histogram.

-

A) Uniform
B) Right skewed
C) Normal
D) Left skewed

Question 19

Describe the shape of the given histogram.

-

A) Right skewed
B) Uniform
C) Left skewed
D) Normal

Question 20

Describe the shape of the given histogram.

-

A) Uniform
B) Normal
C) Left skewed
D) Right skewed

Question 21

Describe the shape of the given histogram.

-

A) Uniform
B) Left skewed
C) Right skewed
D) Normal

Question 22

Describe the shape of the given histogram.

-

A) Left skewed
B) Normal
C) Right skewed
D) Uniform

Question 23

Describe the shape of the given histogram.

-

A) Normal
B) Uniform
C) Right skewed
D) Left skewed

Question 24

Describe the shape of the given histogram.

-

A) Right skewed
B) Normal
C) Uniform
D) Left skewed

Question 25

Describe the shape of the given histogram.

-

A) Uniform
B) Left skewed
C) Normal
D) Right skewed

Question 26

Solve the problem.

-The stem and leaf plot depicts the debt-to-income ratios of loan applicants at a nearby bank.

Describe the shape of the distribution.

A) Uniform
B) Right skewed
C) Left skewed
D) Normal

Question 27

Solve the problem.

-The stem and leaf plot depicts the debt-to-income ratios of loan applicants at a nearby bank.

How many applicants have debt-to-income ratios of at least $40 \%$ ?

A) 31
B) 26
C) 27
D) 28

Question 28

Solve the problem.

-The stem and leaf plot depicts the debt-to-income ratios of loan applicants at a nearby bank.

Do more applicants have debt-to-income ratios in the 20's or 50's?

A) 20 's
B) 50 's

Question 29

Solve the problem.

-The stem and leaf plot depicts the scores earned on individual driver tests in the month of July.

Describe the shape of the distribution.

A) Uniform
B) Right skewed
C) Normal
D) Left skewed

Question 30

Solve the problem.

-The stem and leaf plot depicts the scores earned on individual driver tests in the month of July.

If the minimum passing score is 80 points, how many people passed the driver test?

A) 41
B) 44
C) 42
D) 43

Question 31

Solve the problem.

-The stem and leaf plot depicts the scores earned on individual driver tests in the month of July.

How many people scored fewer than 50 points?

A) 10
B) 8
C) 76
D) 11

Question 32

Solve the problem.

-The stem and leaf plot depicts the average weight (in pounds) of all four year olds receiving their annual influenza vaccine from the local health clinic.

Describe the shape of the distribution.

A) Right skewed
B) Left skewed
C) Normal
D) Uniform

Question 33

Solve the problem.

-The stem and leaf plot depicts the average weight (in pounds) of all four year olds receiving their annual influenza vaccine from the local health clinic.

How many children weighed more than 40 pounds at the time of their influenza vaccine?

A) 8
B) 10
C) 9
D) 11

Question 34

Solve the problem.

-The stem and leaf plot depicts the average weight (in pounds) of all four year olds receiving their annual influenza vaccine from the local health clinic.

How many children weighed 45 pounds at the time of their influenza vaccine?

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

Question 35

Solve the problem.

-The histogram shows the percentage of residential properties in negative equity or near negative equity for several states.

Describe the shape of the distribution.

A) Left skewed
B) Right skewed
C) Normal
D) Uniform

Question 36

Solve the problem.

-The histogram shows the percentage of residential properties in negative equity or near negative equity for several states.
How many states had their percentage above $30 \%$ ?

A) 32.5
B) 18
C) 11
D) 30

Question 37

Find the mean for the list of numbers. Round to the nearest tenth.

- $17,4,30,17$

A)2 4
B) 17.5
C) 17
D) 15.5

Question 38

Find the mean for the list of numbers. Round to the nearest tenth.

- $74,54,74,92,54$

A) 69.1
B) 69.6
C) 70.1
D) 87

Question 39

Find the mean for the list of numbers. Round to the nearest tenth.

- $6,5,10,6,12,10$

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

Question 40

Find the mean for the list of numbers. Round to the nearest tenth.

- $17,11,4,9,6,1,6$

A) 7.2
B) 9.2
C) 9
D) 7.7

Question 41

Find the mean for the list of numbers. Round to the nearest tenth.

- $34,27,82,13,133,72$

A) 60.2
B) 72.2
C) 59.7
D) 60.7

Question 42

Find the mean for the list of numbers. Round to the nearest tenth.

- $56,126,272,165$

A) 154.8
B) 206.3
C) 154.3
D) 155.3

Question 43

Find the mean for the list of numbers. Round to the nearest tenth.

- $28,520,24,425,21,565,27,525,22,555$

A) $23,959.6$
B) 24,918
C) 24,425
D) 20,765

Question 44

Find the mean for the list of numbers. Round to the nearest tenth.

- $8.7,5.4,7.1,6.2,7.7,8.7,5.6,7.5,11.4,12.8$

A) 9
B) 8.5
C) 8.1
D) 7.7

Question 45

Find the mean for the list of numbers. Round to the nearest tenth.

- $29.3,39.9,32.8,40.4,36.6,36.7,43.8,44.6$

A) 40.5
B) 38
C) 34.6
D) 36.2

Question 46

Find the mean for the frequency distribution. Round to the nearest tenth.

-

A) 22.6
B) 24.9
C) 23.3
D) 5.4

Question 47

Find the mean for the frequency distribution. Round to the nearest tenth.

-

A) 2.1
B) 23.8
C) 26.3
D) 23.0

Question 48

Find the mean for the frequency distribution. Round to the nearest tenth.

-

A) 107.3
B) 294.3
C) 245.3
D) 309.7

Question 49

Find the mean for the frequency distribution. Round to the nearest tenth.

-

A) 26.8
B) 24.3
C) 23.3
D) 7.5

Question 50

Find the mean for the frequency distribution. Round to the nearest tenth.

-

A) 263.3
B) 265.8
C) 82.7
D) 295.3

Question 51

Find the median.

- $3,6,14,21,32,37,48$

A) 23
B) 14
C) 32
D) 21

Question 52

Find the median.

- $19,26,38,46,61,67,86$

A) 61
B) 46
C) 38
D) 49

Question 53

Find the median.

- $5,4,28,11,48,41,39$

A) 39
B) 25
C) 11
D) 28

Question 54

Find the median.

- $2,13,25,29,33,37$

A) 25
B) 23.5
C) 29
D) 27

Question 55

Find the median.

- $7,3,25,16,22,43,33,32$

A) 22.5
B) 23.5
C) 22
D) 25

Question 56

Find the median.

- $47,20,7,5,27,13,21,42,37,31$

A) 25
B) 27
C) 21
D) 24

Question 57

Find the median.

- $35,40,34,36,33,35,39,38,31,34,36,37$

A) 214.0
B) 428
C) 35.5
D) None of these

Question 58

Find the median.

-The number of vehicles passing through a bank drive-up line 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.
$\begin{array}{llll}21 & 23 & 21 & 24\end{array}$
$\begin{array}{llll}24 & 21 & 26 & 23\end{array}$
$\begin{array}{llll}31 & 27 & 27 & 25\end{array}$
$\begin{array}{llll}20 & 27 & 21 & 16\end{array}$
$\begin{array}{lll}11 \quad 23 & 23 & 23\end{array}$

A) 22.85
B) 24
C) 27
D) 23

Question 59

Find the median.

-The weights (in ounces) of 21 cookies are shown. Find the median weight. Round to the nearest hundredth.
$\begin{array}{lllllll}0.81 & 1.48 & 0.86 & 1.62 & 0.73 & 0.89 & 1.00\end{array}$
$\begin{array}{lllllll}1.48 & 1.53 & 0.92 & 0.81 & 1.13 & 1.42 & 0.69\end{array}$
$\begin{array}{lllllll}0.47 & 1.13 & 0.89 & 1.42 & 1.72 & 0.73 & 0.56\end{array}$

A) 1.48 ounces
B) 0.92 ounces
C) 0.69 ounces
D) 0.81 ounces

Question 60

Find the median.

-The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data. Round to the nearest hundredth.
$\begin{array}{lllll}3.5 & 1.6 & 2.4 & 3.7 & 4.1\end{array}$
$\begin{array}{llllll}3.9 & 1.0 & 3.6 & 4.2 & 3.4\end{array}$
$\begin{array}{llllll}3.7 & 2.2 & 1.5 & 4.2 & 3.4\end{array}$
$\begin{array}{lllll}2.7 & 0.4 & 3.7 & 2.0 & 3.6\end{array}$

A) 3.45 in.
B) $3.40 \mathrm{in}$ .
C) 2.94 in.
D) $3.50 \mathrm{in}$ .

Question 61

Find the mode or modes.

- $20,32,46,32,49,32,49$

A) 37.1
B) 49
C) 46
D) 32

Question 62

Find the mode or modes.

- $97,68,32,68,29,97$

A) 68
B) 65.2
C) 97,68
D) 97

Question 63

Find the mode or modes.

- $7.08,7.41,7.56,7.08,7.88,7.99,7.62$

A) 7.08
B) 7.41
C) 7.56
D) 7.517

Question 64

Find the mode or modes.

- $95,25,95,13,25,29,56,95$

A) 54.1
B) 25
C) 42.5
D) 95

Question 65

Find the mean

-Bill kept track of the number of hours he spent exercising each week. The results for four months are shown below. Find the mean number of hours Bill spent exercising per week. Round to the nearest hundredth. $\begin{array}{llllll}7.90 & 6.90 & 8.90 & 7.60 & 7.20 & 7.90\end{array}$
$\begin{array}{llllll}6.70 & 8.90 & 6.90 & 7.90 & 7.60 & 7.50\end{array}$
$\begin{array}{llllll}8.10 & 6.90 & 6.90 & 6.50 & 7.20 & 6.70\end{array}$

A) 7.40
B) 7.84
C) 7.61
D) 7.01

Question 66

Find the mean

-The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean of the data. Round to the nearest hundredth.
$\begin{array}{llllll}3.5 & 1.6 & 2.4 & 3.7 & 4.1\end{array}$
$\begin{array}{llllll}3.9 & 1.0 & 3.6 & 4.2 & 3.4\end{array}$
$\begin{array}{lllll}3.7 & 2.2 & 1.5 & 4.2 & 3.4\end{array}$
$\begin{array}{lllll}2.7 & 0.4 & 3.7 & 2.0 & 3.6\end{array}$

A) 3.27 in.
B) $3.09 \mathrm{in}$ .
C) 2.80 in.
D) 2.94 in.

Question 67

Find the mean

-The six Cane brothers spent $\$ 68.07, \$ 49.88, \$ 75.86, \$ 72.64, \$ 70.99$ , and $\$ 64.80$ on groceries. Find the mean grocery bill.

A) $\$ 67.04$
B) $\$ 100.56$
C) $\$ 68.45$
D) $\$ 80.45$

Question 68

Find the mean

-Six college buddies bought each other Christmas gifts. They spent $\$ 120.62, \$ 197.76, \$ 120.32$ , $\$ 160.53, \$ 147.36$ , and $\$ 120.34$ . Find the mean amount spent for Christmas gifts.

A) $\$ 144.49$
B) $\$ 161.39$
C) $\$ 216.73$
D) $\$ 173.39$

Question 69

Find the mean

-Frank's Furniture employees earned $\$ 246.43, \$ 204.29, \$ 536.61, \$ 476.73, \$ 191.36$ , and $\$ 520.74$ for last week. Find the mean wage.

A) $\$ 544.04$
B) $\$ 435.23$
C) $\$ 423.23$
D) $\$ 362.69$

Question 70

Find the mean

-The local Tupperware dealers earned commissions last month of $\$ 4430.05, \$ 1756.42, \$ 3553.04$ , $\$ 4130.26, \$ 4282.92$ , and $\$ 3366.12$ .

A) $\$ 4291.76$
B) $\$ 3586.47$
C) $\$ 4303.76$
D) $\$ 5379.70$

Question 71

Find the mean

-The Wellspring Company's fleet of trucks get 20, 9, 19, 8, 16, 9, and 24 miles per gallon. Round to the nearest whole number.

A) 14 miles per gallon
B) 16 miles per gallon
C) 18 miles per gallon
D) 15 miles per gallon

Question 72

Find the mean

-The weight gains (in pounds) over a one month period of 10 patients on a special diet were: 7.7, $-6,2.3,6.5,4.4,-1,6.0,-6,5.3,4.9$ . Find the mean. Round your answer to the nearest hundredth.

A) 2.41 pounds
B) 2.30 pounds
C) 2.54 pounds
D) 5.01 pounds

Question 73

Solve the problem. Round to the nearest hundredth.

-Using the employment information in the table on Alpha Corporation, find the mean for the grouped data.

A) 12.93
B) 13.57
C) 15.50
D) 10.83

Question 74

Solve the problem. Round to the nearest hundredth.

-Using the information in the table on home sale prices in the city of Summerhill for the month of June, find the mean for the grouped data.

A) 188.45
B) 168.52
C) 157.50
D) 172.95

Question 75

Solve the problem. Round to the nearest hundredth.

-The table summarizes the total incomes in the year 2000 of the residents of a particular town. Only those residents with full-time employment are included. Estimate the mean income for fully employed residents of the town in 2000 .

A) $\$ 36,944.44$
B) $\$ 35,032.07$
C) $\$ 33,981.11$
D) $\$ 35,732.71$

Question 76

Calculate the weighted average.

-Annie enrolled in a class where the homework counts as $30 \%$ of the final grade, two midterm exams count as $10 \%$ each, and a final exam counts as $50 \%$ of the final grade. Annie earned $95 \%$ on the homework, $86 \%$ and $83 \%$ on the two midterm exams, and $87 \%$ on the final exam. What is Annie's final average? If necessary, round to the nearest hundredth.

A) $88.9 \%$
B) $80.3 \%$
C) $80.6 \%$
D) $88.6 \%$

Question 77

Calculate the weighted average.

-Boris enrolled in a course where attendance counted as $5 \%$ of the final grade, a midterm paper counted as $35 \%$ of the final grade, and a final paper counted as $60 \%$ of the final grade. He had $81 \%$ attendance. He earned a score of $75 \%$ on the midterm paper and a $83 \%$ on his final paper. What is Boris' final average? If necessary, round to the nearest hundredth.

A) $84.15 \%$
B) $30.9 \%$
C) $81.9 \%$
D) $80.1 \%$

Question 78

Calculate the weighted average.

-Rafi enrolled in a class where attendance counted as $15 \%$ of the final grade, quizzes counted as $20 \%$ , one midterm exam counted as $35 \%$ , and the final exam counted as $30 \%$ . Rafi earned $95 \%$ on attendance, $87 \%$ on the quizzes, and $86 \%$ on the midterm exam. If $90 \%$ is needed to earn a grade of $\mathrm{A}_{-}$ , what is the minimum score Rafi needs to earn on the final exam in order to earn a final grade of $\mathrm{A}-$ ? Round to the nearest hundredth.

A) $60.83 \%$
B) $94.17 \%$
C) $110.83 \%$
D) $77.50 \%$

Question 79

Find the range for the set of data numbers.

- $5,20,1,13,10$

A) 5
B) 20
C) 1
D) 19

Question 80

Find the range for the set of data numbers.

- $26,38,15,50,51$

A) 15
B) 51
C) 36
D) 12