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Worksheets

Probability & Statistics

Total questions: 107

Worksheet time: 8hrs 43mins

Name
Class
Date
1.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

2.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

3.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

4.

What is the probability that you choose blue? *simplify your answer*

5 green

6 yellow

8 blue

7 brown

a)

8/26

b)

4/13

c)

8/25

d)

1/3

5.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

6.

A box has 3 limes, 5 grapes, and 2 oranges.


P (NOT lime)

a)

3/10

b)

30%

c)

7/10

d)

Answer Not Here

7.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
8.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
9.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
10.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which is the complete set of possibilities of combinations?
a)
TW, CW, PW
b)
TW, TM, TW, CW, PW
c)
TW, TM, CW, CM, PW, PM
11.

If you select a marble without looking, how likely is it that you will pick a black one?

a)

certain

b)

likely

c)

unlikely

d)

impossible

12.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
13.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

14.
An unlikely chance event is closer to what number?
a)
0
b)
1
c)
2
d)
3
15.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
16.
The probability of it raining today is 30%.  What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
17.
Based on the chart, what is the experimental probability of pulling a green marble?
a)
1/8
b)
8/25
c)
8/100
d)
7/8
18.

You roll a standard number cube once. What is the probability of not rolling a 6?

a)

16\frac{1}{6}

b)

56\frac{5}{6}

c)

12\frac{1}{2}

d)

13\frac{1}{3}

19.

Karen constructed the box-and-whisker plot below to show information about her first semester scores.

What was Karen's median test score?

a)

70

b)

85

c)

90

d)

95

20.

The list below shows the most recent test scores for students in Mr. Garcia’s study group.

78, 90, 94, 72, 80, 68, 72, 88, 94, 98, 86, 96

Which box-and-whisker plot correctly represents the data in the list?

a)
b)
c)
d)
21.

The box-and-whisker plot below shows the number of points each member of the middle

school basketball team made during the game on Saturday.

What was the greatest number of points scored by a basketball player during the game on

Saturday?

a)

4

b)

6

c)

7

d)

8

22.

The data below show the donations, in dollars, a charity received from 8

of its donors at a fund-raising event.

640, 550, 480, 600, 720, 720, 800, 840

Which box plot correctly represents these data?

a)
b)
c)
d)
23.

Mrs. Garcia decides to organize her students’ algebra test scores into

a box plot to analyze the results, as shown below.

What is the median score of the class?

a)

76

b)

80

c)

82

d)

84

24.

Johnathan analyzed a set of data. He noticed that 50% of the data was

between 84 and 89. He also noticed that 50% of the data was between

88 and 91. The lowest data point was an 82. Which box plot could

represent the set of data Johnathan analyzed?

a)
b)
c)
d)
25.

The data shows the average price of frozen orange juice at various times.

$1.83, $1.88, $1.83, $1.94, $2.54, $2.50, $2.46, $2.64, $2.73, $2.58

What are the three quartiles of the data?

a)

Q1 = $1.83, Med = $2.52, Q3 = $2.64

b)

Q1 = $1.83, Med = $2.48, Q3 = $2.58

c)

Q1 = $1.88, Med = $2.52, Q3 = $2.64

d)

Q1 = $1.88, Med = $2.48, Q3 = $2.58

26.

The data below shows the average cost of a dozen eggs at different

times.

$1.26, $1.15, $1.28, $1.25, $1.83, $1.98, $1.63, $1.75, $1.95, $1.89

What are the three quartiles of the data?

a)

Q1 = $1.28, Med = $1.75, Q3 = $1.95

b)

Q1 = $1.28, Med = $1.69, Q3 = $1.89

c)

Q1 = $1.26, Med = $1.75, Q3 = $1.95

d)

Q1 = $1.26, Med = $1.69, Q3 = $1.89

27.

Jerry recorded the outdoor temperature at noon on the first day of each month for one year.

He made the box-and-whisker plot below to display his data.

What is the range of temperatures?

a)

40

b)

55

c)

70

d)

95

28.
What is the interquartile range?
a)
4
b)
6
c)
2
d)
8
29.
Which car club has the higher median?
a)
Cruisers
b)
Car Hops
30.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
31.
Which of the following best describes the process of finding the interquartile range for a set of data?
a)
Add the biggest and smallest numbers.
b)
Place the numbers in order from least to greatest and find the middle.
c)
Find the difference between the maximum and the minimum.
d)
Subtract Q1 from Q3.
32.

About 50 % of the data values are greater than...

a)

12

b)

15

c)

22

d)

31

33.

Which box plot represents the data set below?

22, 34, 25, 32, 41, 21, 23, 36, 37, 30, 38, 44, 32, 45

a)
b)
c)
d)
34.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60
35.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
36.
What is the median of the data?
a)
200
b)
100
c)
90
d)
140
37.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
38.
Which of the following lists all parts of the five number summary?
a)
Mean, Median, Mode, Range, and Total
b)
Minimum, Quartile 1, Median, Quartile 3, and Maximum 
c)
Smallest, Q1, Q2, Q3, and Q4
d)
Minimum, Maximum, Range, Mean, and Median
39.
What is the term for the median of the lower half of the data?
a)
Lower Quartile
b)
Upper Quartile
c)
Median
d)
Maximum
40.
What is the term for the median of the upper half of the data?
a)
Upper Quartile
b)
Lower Quartile
c)
Median
d)
Minimum
41.

What do points B and D represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Value

d)

First and Third Quartiles

42.

What do points A and E represent on the box plot?

a)

Mean and Mode

b)

Mean and Median

c)

Least and Greatest Value

d)

First and Third Quartiles

43.
What do you do if there are two numbers in "the middle" when you are finding the median?
a)
Pick your favorite number
b)
Add the two numbers in the middle & then divide by two.
c)
They are both the median
d)
None of the above
44.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
45.
At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
46.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
47.
A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?
a)
30
b)
17
c)
90
d)
270
48.
The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?
a)
7 because 2 + 3 + 2
b)
12 because 2 x 3 x 2
49.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.   How many events are described here?
a)
1
b)
2
c)
3
d)
93
50.
Find the total number of outcomes for picking a day of the week and a month of the year.
a)
19
b)
84
c)
60
d)
210
51.
Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped topping, in a cone or a cup.
a)
16
b)
8
c)
32
d)
3
52.
100 second graders were asked to do a book report about one of these four zoo animals.  The number of students who chose each animal is shown in the table.  If 250 second graders had to choose of of the four animals, predict how many would choose to write about a giraffe.
a)
60 students
b)
50 students
c)
40 students
d)
30 students
53.
150 people were polled on their favorite sport.  Based on the table, if you asked only 25 people what their favorite sport is, how many would say soccer is their favorite sport?
a)
5 people
b)
6 people
c)
8 people
d)
10 people
54.

Based on the results shown in the table, how many white marbles would one expect to draw in a total of 50 draws? (hint:set up a proportion)

a)

2

b)

5

c)

10

d)

20

55.

If the spinner is spun 80 times, how many times would it land on yellow? (hint:set up a proportion)

a)

10

b)

20

c)

30

d)

40

56.

An envelope contains 3 different colored cards. Tyler reached in, pulled out a card, recorded the color, and put the card back. He did this 50 times.


Based on these results, what is the best prediction as to the number of green cards he would pick in 100 times?

a)

50

b)

25

c)

100

d)

75

57.

If the spinner below was spun 100 times, about how many times would you expect the spinner to land on red?

a)

20

b)

25

c)

15

d)

35

58.

If the spinner below is spun 12 times, how many times can you expect the spinner to land on R?

a)

6

b)

8

c)

12

d)

3

59.

If the spinner below is spun 16 times, how many times can you expect the spinner to land on the number 3?

a)

4

b)

2

c)

16

d)

3

60.

Each face on a standard die shows a number, 1, 2, 3, 4, 5, or 6. If the die is tossed 30 times, how many times would you expect to get a 3?

a)

If I toss a die 30 times I expect to get the number 3, 20 times

b)

If I toss a die 30 times I expect to get the number 3, 10 times

c)

If I toss a die 30 times I expect to get the number 3, 15 times

d)

If I toss a die 30 times I expect to get the number 3, 5 times

61.

If a coin is tossed 100 times, about how many times should the coin turn up tails?

a)

If I toss a coin 100 times then I should land on tails 25 times

b)

If I toss a coin 100 times then I should land on tails 45 times

c)

If I toss a coin 100 times then I should land on tails 55 times

d)

If I toss a coin 100 times then I should land on tails 50 times

62.

The following table shows the results of a survey in which 50 people were asked to name their favorite sport.


Based on these results, how many people out of 1000 would you expect to pick soccer as their favorite sport?

a)

240

b)

120

c)

250

d)

225

63.

Tom solved 9 out of the 15 practice questions for a test correctly. If the actual test is 35 questions, how many can Tom expect to solve correctly?

a)

In the actual test Tom is expected to solve 21 questions correct

b)

In the actual test Tom is expected to solve 25 questions correct

c)

In the actual test Tom is expected to solve 12 questions correct

d)

In the actual test Tom is expected to solve 15 questions correct

64.

An inspector at a calculator factory found 3 out of 100 calculators did not work properly. If the factory produces an order of 5000 calculators, how many might be expected to NOT work properly?

a)

150

b)

15

c)

300

d)

250

65.

If 1 out of every 5 Americans ride to work with a car pool, how many people out of 2,000 would be expected to carpool?

a)

500

b)

400

c)

300

d)

200

66.

A grocery store sold a total of 300 snack chips last week as follows: 135 potato chips, 115 Fritos, 35 Cheetos and 15 pretzels. The store owner plans to place an order for 1000 bags of the same kind of chips for a holiday weekend rush. Based on last week’s sales, how many bags of pretzels should he order?

a)

50

b)

85

c)

45

d)

65

67.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
68.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
69.
Find the mean of these numbers:
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
70.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
71.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
72.
To find the mean of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
73.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
74.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
75.
Find the median.
12, 5, 9, 18, 22, 25, 5
a)
9
b)
8
c)
12
d)
18
76.
Find the mean.
90, 100, 95, 85, 60, 80
a)
85
b)
84
c)
86
d)
90
77.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
78.

a)

6

b)

5

c)

4

d)

10

79.

a)

6

b)

7

c)

8

d)

4

80.

a)

$1.00

b)

$2.00

c)

$3.00

d)

$4.00

81.

a)

3

b)

4

c)

5

d)

2

82.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
83.
P(2 then 5) = 
a)
1/6
b)
1/12
c)
1/36
84.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
85.

A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a dark chocolate and then a caramel?

a)

12/35 x 12/34

b)

16/35 x 12/34

c)

16/35 x 12/35

d)

12/35 x 16/34

86.

A jar contains 12 caramels, 7 mints and 16 dark chocolates. What is the probability of selecting a dark chocolate and then a caramel?

a)

12/35 x 12/34

b)

16/35 x 12/34

c)

16/35 x 12/35

d)

12/35 x 16/34

87.
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?
a)
9/182
b)
5/182
c)
2/91
d)
10/91
88.

Gregg has 12 cards. Half are black, and half are red. He picks two cards out of the deck without replacement. What is the probability that both cards are red?

a)

1/6

b)

5/22

c)

1/2

d)

1/144

89.
P(1 and A)
a)
1/16
b)
1/10
c)
4/16
d)
1/4
90.

You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get yellow gummy bears and then red gummy bears?

a)

The probability is 3/11

b)

The probability is 1/11

c)

The probability is 3/132

d)

The probability is 3/12

91.

What is the probability of the coin landing on heads when flipped, and the die landing on six when rolled?

a)

1 out of 12

b)

1 out of 6

c)

impossible

92.

A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?

a)

2/19

b)

1/10

c)

1/25

d)

1/45

93.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
94.
Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)
a)
4/225
b)
1/105
c)
3/71
95.
What percentage of girls have blonde hair?
a)
30%
b)
32%
c)
29%
d)
40%
96.
What percentage of the students have brown hair?
a)
25%
b)
60%
c)
45%
d)
50%
97.
What percentage of the boys had red hair?
a)
5%
b)
10%
c)
12%
d)
4%
98.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
99.
Of the times when the forecast called for rain, what is the percentage that it actually rained?
a)
About 90%
b)
About 50%
c)
About 70%
d)
About 80%
100.
According to the two-way table, a person who plays an instrument is most likely to:
a)
Not play an instrument
b)
Not play a team sport
c)
Play a team sport
d)
All of the above
101.
A survey explored the relationship between gender and band class. Which is a reasonable conclusion?
a)
There are more band members than non-band members
b)
There are more boys in the class than girls
c)
There are more boys in band than not in band
d)
More than half of the bands members in the class are girls
102.
Out of those surveyed, what is the probability that the student is a boy who can't bike to school (in simplest form)?
a)
4/30
b)
7/30
c)
2/15
d)
14/30
103.
How many total people were surveyed about what ice cream flavor they would pick?
a)
107
b)
92
c)
70
d)
269
104.
What is the probability you select a person who would pick chocolate?
a)
.398
b)
.342
c)
.26
d)
.686
105.
How many people purchased no food and no drink?
a)
60
b)
10
c)
20
d)
200
106.
What percent of people who bought no food purchased water?
a)
14.3%
b)
33.3%
c)
5%
d)
41.1%
107.
The table shows the different types of engineers and the subject they liked most.  What percentage of people surveyed were chemical engineers who preferred math?
a)
16.5%
b)
33.1%
c)
17.6%
d)
15.5%