Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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A number cube was rolled 18 times. The results are shown. Display the data in a
frequency table.
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2.
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Use the frequency table to determine how many students received a score of 60 or
better on an English exam. Score | Frequency | | 50–59 | 1 | | 60–69 | 8 | | 70–79 | 3 | | 80–89 | 7 | | 90–100 | 4 | | |
a. | 8 students | b. | 9 students | c. | 14 students | d. | 22
students |
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3.
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Draw a line plot for the frequency table. | Number | 1 | 2 | 3 | 4 | 5 | 6 | | Frequency | 4 | 5 | 3 | 2 | 2 | 6 | | | | | | | |
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4.
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Find the range of the data.
Scores: 90, 89, 87, 79, 89, 84, 80, 85, 85,
79
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5.
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Display the set of data in a frequency table and a line plot.
90
92 93 91 92 92 94 96
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6.
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The line plot shows on which day of the week you and your classmates were born.
Which statement is NOT true?  a. | Two students were born on a Wednesday. | b. | There are 15 students in your
class. | c. | More students were born on a Tuesday than on a Monday. | d. | The range of the
data is 5. |
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Draw the box-and-whisker plot for the data.
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7.
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33, 50, 30, 45, 30, 41, 27, 34, 50, 49, 40, 40, 35, 25, 28
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8.
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21 29 25 20 36 28 32 35 28
30 29 25 21 35 26 35 20 19
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Compare the data sets by making two box-and-whisker plots above one number
line.
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9.
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Set X: 14, 11, 7, 1, 5, 4, 6, 13, 2, 12, 13, 4, 3, 14, 15, 15
Set Y:
10, 9, 7, 4, 11, 15, 15, 8, 6, 9, 4, 10, 7, 13, 4, 5
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10.
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Grades of Class A: 71, 78, 95, 68, 91, 95, 85, 76, 94, 77, 79, 95, 82, 93, 92,
70
Grades of Class B: 86, 98, 99, 64, 80, 89, 63, 95, 70, 69, 81, 77, 72, 87, 96, 79
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11.
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Describe the data in the box-and-whisker plot.  a. | The lowest value is 58.5 and the highest value is 74. The median is 67. At least half
of the data are within 8.5 points of the median. | b. | The values range from 50 to 83. At least half
of the data are within 7 points of the median, 67. | c. | The lowest value is 50 and the highest value is
83. The median is 67. At most half of the data are within 7 points of the median. | d. | The values range
from 50 to 83. At least half of the data are within 8.5 points of the median,
67. |
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12.
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Use the two box-and-whisker plots to determine which statement is true.  a. | They have the same median. | c. | The upper quartiles are
equal. | b. | They have the same range. | d. | The lower quartiles are equal. |
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13.
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The graphs show the number of students receiving A’s in each grade at
Glenwood Middle School. Which statement is true? a. | The second graph shows greater changes in the number of A’s than the first
graph. | b. | The second graph exaggerates the differences between the numbers of
A’s. | c. | The two graphs are exactly the same. | d. | The scale of the first graph exaggerates the
number of A’s because it starts at zero. |
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14.
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Which graph suggests that the number of sit-ups Mark did in November was more
than double the number of sit-ups he did in September?
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15.
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Use the data in the table. Make a graph that suggests a rapid increase in
population from 1994 to 2004. Year | Population | 1994 | 400 | 1996 | 404 | 1998 | 410 | 2000 | 412 | 2002 | 415 | 2004 | 420 | | |
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16.
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A sandwich is made with only one type of bread, one type of meat, and one type
of cheese. There are 3 types of bread: white, wheat, or rye; 2 types of meat: turkey or roast beef;
and 2 types of cheese: American or Swiss. Draw a tree diagram to show the number of sandwich
choices.
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17.
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You can order a skirt with the three different lengths (knee, mid-calf, ankle)
and the four different colors (navy, black, khaki, denim). Draw a tree diagram to show the number of
choices.
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18.
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A lunch menu consists of 5 different sandwiches, 2 different soups, and 5
different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a
drink?
a. | 12 choices | b. | 72 choices | c. | 50 choices | d. | 69
choices |
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19.
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Ms. Wong is redecorating her office. She has a choice of 7 colors of paint, 4
kinds of curtains, 3 colors of carpet, and 2 styles of furniture. How many different ways are there
to redecorate if she can choose two different colors of paint, one kind of curtain, one color of
carpet, and one style of furniture?
a. | 168 ways | b. | 1,008 ways | c. | 1,176 ways | d. | 23
ways |
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20.
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Use the table. | a. | How many possible pairs of jeans are there if each pair has one style and one
color? | | b. | Suppose you have one pair of jeans of each possible style and color in the table. What is
the probability of choosing a pair of black jeans at random? | | |
| Style | Color | | regular | light blue | | loose fit | indigo | | boot cut | washed | | slim fit | black | | | blue | | |
a. | 30 pairs;  | b. | 9 pairs;  | c. | 20 pairs;  | d. | 4 pairs;  |
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21.
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There are many different license-plate systems being used in the United States.
Which system provides for the greatest possible number of license plates?
a. | License plates display three letters and three digits. | b. | License plates
display two letters and four digits. | c. | License plates display five
letters. | d. | License plates display four letters and two digits. |
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22.
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Suppose x coins are tossed. Write an expression to represent the number
of possible outcomes.
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23.
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A spinner that has 3 sections of equal area, numbered from 1 to 3, is spun two
times in succession. Which is NOT part of the sample space?
a. | (1, 3) | b. | (3, 3) | c. | (3, 2) | d. | (3,
4) |
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24.
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Find the sample space for tossing 2 coins. Then find P(exactly 1
head).
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Use the Counting Principle to find the probability.
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25.
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choosing the 8 winning lottery numbers when the numbers are chosen at random
from 0 to 9
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26.
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rolling a 4 on each of 4 number cubes
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27.
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Suppose you roll two number cubes and pick a letter of the alphabet at random.
Find the probability you roll 2 even numbers and pick one of the vowels a, e, i,
o, or u.
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28.
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Jason and Kyle both choose a number from 1 to 10 at random. What is the
probability that both numbers are odd?
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29.
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Which describes independent events?
a. | You grab two jelly beans from a jar at the same time. | b. | You draw a card from
a deck, replace it, and draw a second. | c. | You draw a card and do not replace it. Then you
draw another. | d. | You study English every night, and then you get an A on the next
test. |
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30.
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A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking,
you select a sock at random, replace it, and select a second sock at random. What is the probability
that the first sock is blue and the second sock is red?
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31.
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Two urns each contain green balls and blue balls. Urn I contains 4 green balls
and 6 blue balls, and Urn II contains 6 green balls and 2 blue balls. A ball is drawn at random from
each urn. What is the probability that both balls are blue?
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32.
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Find the probability that 3 students chosen at random were all born on a
Wednesday.
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33.
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A local weather forecaster is accurate 85% of the time when predicting
precipitation for the day. What is the probability that she will make correct precipitation
predictions 4 days in a row? Round to the nearest whole percent.
a. | about 54% | b. | about 53% | c. | about 52% | d. | about
47% |
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34.
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The probability that Shania is on time for school is  . Find the probability
that Shania arrives on time for school for the next 5 days. Express your answer as a percent, to the
nearest tenth of a percent. a. | 50% | b. | 15.6% | c. | 11.4% | d. | 3.1% |
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35.
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On a 9-question true-or-false test you randomly guess at the answers. What is
the probability that you get all 9 answers correct? What is the probability that you get all 9
answers wrong?
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36.
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A bag contains 6 purple marbles and 7 white marbles. Two marbles are drawn at
random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability
that the first marble is white and the second one is purple?
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You select a card at random. Without replacing the card, you select a second
card. Find the probability.
 
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37.
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P(M, then H)
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38.
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P(T, then a vowel)
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39.
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P(C, then T or S)
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40.
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In how many different ways can you arrange 7 books on a shelf?
a. | 823,543 ways | b. | 5,040 ways | c. | 720 ways | d. | 28
ways |
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41.
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There are 4 children in Maria’s family. In how many ways can you list the
children in all possible age orders?
a. | 6 ways | b. | 24 ways | c. | 10 ways | d. | 256
ways |
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42.
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How many permutations can be made using the letters S, T, U, D, Y, H, A, R,
D?
a. | 1 permutation | c. | 9 permutations | b. | 362,880 permutations | d. | 456,225
permutations |
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43.
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How many 3-letter permutations are possible for the letters S, T, U, D, Y, H, A,
R, D?
a. | 72 permutations | c. | 3,024 permutations | b. | 729 permutations | d. | 504
permutations |
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Simplify the expression.
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44.
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45.
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a. | 11,880 | b. | 95,040 | c. | 1,235,520 | d. | 7,920 |
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46.
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47.
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48.
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In how many ways could you choose two different letters from the letters M, A,
T, H?
a. | 12 ways | b. | 24 ways | c. | 6 ways | d. | 18
ways |
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49.
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In how many ways could you choose two different letters from the letters C, O,
U, N, T?
a. | 60 ways | b. | 20 ways | c. | 120 ways | d. | 10
ways |
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50.
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The Burger Diner offers burgers with or without any or all of the following:
catsup, lettuce, and mayonnaise. How many different burgers can you order?
a. | 8 burgers | c. | 12 burgers | b. | 3 burgers | d. | 7 burgers |
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51.
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A panel of judges must consist of four women and three men. A list of potential
judges includes six women and five men. How many different panels could be created from this
list?
a. | 30 panels | b. | 150 panels | c. | 25 panels | d. | 300
panels |
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Does the problem involve permutations or combinations?
Explain.
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52.
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In how many different ways could a committee of 5 students be chosen from a
class of 25 students?
a. | Permutations; the order matters. | b. | Permutations; the order does not
matter. | c. | Combinations; the order does not matter. | d. | Combinations; the
order matters. |
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53.
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In how many ways could six horses come in first, second or third in a
race?
a. | Combinations; the order does not matter. | b. | Combinations; the
order matters. | c. | Permutations; the order does not matter. | d. | Permutations; the
order matters. |
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54.
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In your last 23 basketball games, you attempted 101 free throws and made 66.
Find the experimental probability that you make a free throw. Write the probability as a percent, to
the nearest tenth of a percent.
a. | 65.3% | b. | 69.8% | c. | 69.7% | d. | 65.7% |
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55.
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A number cube is rolled with these results: 64 ones, 67 twos, 73 threes, 59
fours, 72 fives, and 71 sixes. What is the experimental probability of rolling an even number? Write
your answer as a percent, to the nearest tenth of a percent.
a. | 51.9% | b. | 48.5% | c. | 53.6% | d. | 46.8% |
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56.
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You work at a T-shirt printing business. Of the 2,800 T-shirts shipped, 396 have
a defect. What is the experimental probability that a T-shirt has a defect? Write your answer as a
percent, to the nearest tenth of a percent.
a. | 15.3% | b. | 14.1% | c. | 11.7% | d. | 19.4% |
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57.
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The results of a coin toss are shown. What is
P(heads)?
HTHHHTHTTHHTHTT
THHTHTTHHHHTHTT
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58.
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A spinner with three congruent sections is spun with the results as shown. What
is P(1)?
1 3 3 2 1 2 1 1 3 3 2 1 1 1 2 2 2 3 3 1 3
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Is the sample described a good sample? Explain.
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59.
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To find the average age of drivers in a particular city, use all the names of
people with driver’s licenses put into a file. One hundred names are picked blindly from the
file as a sample.
a. | No; the sample is not selected from the population to be studied. | b. | No; the sample is
not random. | c. | Yes; the sample is selected at random from the population to be
studied. |
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60.
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To find the average income of an adult in the United States, 250 workers in
Tennessee are questioned.
a. | No; the sample is not random. | b. | Yes; the sample is selected at random from the
population to be studied. | c. | No; the sample is not selected from the
population to be studied. |
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61.
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To find the average number of shoppers in a particular store, shoppers are
counted on two consecutive Saturday mornings.
a. | No; the sample is not selected from the population to be studied. | b. | No; the sample is
not random. | c. | Yes; the sample is selected at random from the population to be
studied. |
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62.
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You want to find out the favorite subjects of students at your school. Which
plan describes a good sample?
a. | Interview a group of students on their way to the library. | b. | Interview students
leaving a classroom. | c. | Interview a group of students standing together
in the hallway. | d. | Interview every tenth student leaving an all-school
assembly. |
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63.
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A worker takes a random sample of 200 bolts and finds that 30 of them are either
too long or too short, thus making them unusable. Estimate the number of unusable bolts in a
production of 17,000 bolts.
a. | 1,610 bolts | b. | 2,550 bolts | c. | 2,140 bolts | d. | 2,260
bolts |
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64.
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Out of 1,100 discs tested, 13 are defective. Estimate the number of defective
discs in a batch of 41,000.
a. | about 485 discs | c. | about 4,850 discs | b. | about 970 discs | d. | about 49 discs |
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65.
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Out of a random sample of 330 apples, 25 are rated “AAA.” Estimate
the number of apples that would be rated “AAA” in a crop of 57,000 apples.
a. | about 432 apples | c. | about 43,180 apples | b. | about 4,318 apples | d. | about 8,636
apples |
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Short Answer
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66.
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Display the data in a frequency table.
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Solve by simulating the problem.
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67.
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You have a 5-question multiple-choice test. Each question has four choices. You
don’t know any of the answers. What is the experimental probability that you will guess exactly
three out of five questions correctly?
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68.
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What is the experimental probability that exactly 3 children in a family of 4
children will be boys? Assume that P(boy) = P(girl).
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69.
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The graph shows the population of four towns.  | a. | Which town appears
to have about twice the population of Town C? | | b. | Which town actually has twice the population
of Town C? | | c. | Explain why the graph is misleading. | | |
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Essay
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70.
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Use the data to make two different graphs. Draw one of the graphs to present the
data accurately and one graph that distorts or misleads. Explain your reasoning. | Student | Grade | | Joan | 65% | | Jill | 92% | | Matt | 88% | | Bill | 85% | | |
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71.
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Elijah and Angelina are playing a game that uses two piles of cards. Each of the
12 cards in one pile lists one month of the year. Each of the 7 cards in the other pile lists a day
of the week. On each person’s turn, the player randomly chooses one card from each pile. What
is the probability of choosing a month beginning with the letter J and a day beginning with the
letter T? Show your work.
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72.
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You spin two spinners, each of which is divided into five congruent sections
numbered 1 to 5. List all possible outcomes. Then find the probability of getting the same number on
both spins. Show your work.
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Other
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73.
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Use this set of numbers: 39, 23.2, 18, 36.9, 45, 52. Add one more number to the
data so that the range is 40. Explain how you found the number.
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74.
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Ms. Brodie drew two box-and-whisker plots to represent her students’
scores on the mid-year test and the final exam. What do the plots tell you about the progress of Ms.
Brodie’s class? 
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75.
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The graph shows the cost of a large cheese pizza at three different restaurants.
Explain how the size of the bars in the graph gives a false impression about the cost of a pizza at
different restaurants. 
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76.
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What impression does the graph below give you about home sales in Johnston? Is
it misleading? Explain. 
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77.
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Explain the difference between dependent and independent events.
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78.
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Arlene was given four pictures and asked to present four different combinations
of all four pictures. Is this possible? Explain.
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79.
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You want to find out how popular football is at your school. Design a survey
plan that describes a good sample. Explain.
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