Free Printable 2022-23 semester 1 stats review

1.

A complete set of elements is known as a

a)

population

b)

parameter

c)

sample

d)

statistic

2.

A subset of a population is a

a)

population

b)

parameter

c)

sample

d)

statistic

3.

Ford samples 1000 people and finds that 71% of respondents say they feel safer in a car than in a plane. This is advertised in the next Ford Superbowl commercial. What is a potential problem with this?

a)

Ford is a car company, so the survey's trustworthiness could be called into question

b)

Planes are safer. Everyone knows this.

c)

There weren't enough people surveyed.

d)

You aren't safe in either if Chuck Norris is after you.

4.

Is weight an example of a discrete or continuous measurement?

a)

discrete

b)

continuous

5.

Is temperature in Kelvin a nominal, ordinal, interval or ratio measurement?

a)

nominal

b)

ordinal

c)

interval

d)

ratio

6.

The number of defective computers produced by a manufacturer

a)

Discrete Random Variable

b)

Continuous Random Variable

7.

Distance of towns in the Province from the Capital City

a)

Discrete Random Variable

b)

Continuous Random Variable

8.

Books in a library

a)

Discrete Random Variable

b)

Continuous Random Variable

9.

Heights of Basketball Players

a)

Discrete Random Variable

b)

Continuous Random Variable

10.

Grade point average of Grade 11 – Students

a)

Discrete Random Variable

b)

Continuous Random Variable

11.

Height

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

12.

Political party affiliation

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

13.

Rank of US states by population

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

14.

IQ

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

15.

Average temperature in Lexington

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

16.

Weight

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

17.

Gender

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

18.

Annual salary

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio

19.

What is the problem with the word "average?"

a)

It starts with an a.

b)

It can mean many different things

c)

It is always mean to everyone (okay, this is kind of a dad joke)

d)

it is not an accurate representation of data often

20.

Various news outlets release a statement from the Ticonderoga pencil company that did a study showing students in the US do better in maths when using a pencil than when using a pen. What is a potential problem with this? Check all that apply

a)

Everyone knows students do better maths with pens than with pencils.

b)

Since Ticonderoga is a pencil company, the study could have flaws because of conflict of interest.

c)

The news outlets did not follow up to see if anyone peer-reviewed this study.

d)

"Maths" should be "math."

21.

How many terms are there in the series $\sum_{k=3}^{13}3k+1$

a)

13

b)

11

c)

10

22.

$\ \ Evaluate\ the\ \exp ression:\ \ \ \ \sum_{k=1}^4k^3\$

a)

30

b)

100

c)

110

23.

$Evaluate:\ \ \sum_{i=1}^3\frac{i+2}{i}$

a)

3

b)

6

c)

9

24.

$Evaluate:\ \ \sum_{a=2}^6\left(a^2+a\right)$

a)

70

b)

110

c)

90

25.

$Find\ the\ sum\ of\sum_{j=1}^5\left(j^2-2^j\right)$

a)

8

b)

7

c)

-7

26.

What is the percent difference between comedy and action?

a)

22%

b)

5%

c)

13%

d)

10%

27.

In the given table, what are the lower class limits?

a)

51,61,71,81,91

b)

60,70,80,90,100

c)

55.5,65.5,75.5,85.5,95.5

d)

10

28.

In the given table, what are the upper class limits?

a)

51,61,71,81,91

b)

60,70,80,90,100

c)

55.5,65.5,75.5,85.5,95.5

d)

10

29.

In the given table, what are the class marks?

a)

51,61,71,81,91

b)

60,70,80,90,100

c)

55.5,65.5,75.5,85.5,95.5

d)

10

30.

In the given table, what is the class width?

a)

51,61,71,81,91

b)

60,70,80,90,100

c)

55.5,65.5,75.5,85.5,95.5

d)

10

31.

The data in the picture:

a)

is negatively skewed

b)

positively skewed

c)

symmetrical

32.

The data in the picture:

a)

is negatively skewed

b)

positively skewed

c)

symmetrical

33.

The data in the picture:

a)

is negatively skewed

b)

positively skewed

c)

symmetrical

34.

What was the day with the least amount of cars sold?

a)

Monday

b)

Tuesday

c)

Wednesday

d)

Thursday

35.

Which statement best describes the data shown in the dot plot?

a)

The peak of the data is at 35

b)

The data are clustered from 30 to 32

c)

The data distribution has gaps

d)

The data distribution is symmetrical

36.

What is the gap of this data?

a)

Between 60 - 100

b)

Between 80 - 100

c)

Between 95 - 100

d)

Between 60 - 80

37.

What is the outlier of this data?

a)

60

b)

100

c)

80

d)

90

38.

What is the MEDIAN of this data

a)

95

b)

90

c)

100

d)

40

39.

What is the RANGE of this data

a)

40

b)

95

c)

90

d)

100

40.

What is the MODE of this data?

a)

100

b)

20

c)

80, 85, and 90

d)

none

41.

How many total students are in the science class?

a)

13

b)

6

c)

27

d)

25

42.

How many people made 25 free throws?

a)

1

b)

2

c)

3

d)

0

43.

How many people made OVER 30 free throws?

a)

6

b)

7

c)

10

d)

15

44.

What was the slowest race time?

a)

28.9 secs

b)

26.2 secs

c)

25.3 secos

d)

25 secs

45.

Which time got 4th place in the race?

a)

27.2secs

b)

26.2secs

c)

25.7secs

d)

28.9secs

46.

This stem and leaf shows the weight of each crate of apples. Which weight appeared the most often?

a)

59kg

b)

4kg

c)

64kg

d)

2kg

47.

What type of data presentation is shown?

a)

Dot plot

b)

Stem and Leaf

c)

Split Stem and Leaf

d)

Back to Back Stem and Leaf

48.

Why is this a bad dot plot

a)

There is no vertical axis

b)

The data is categorical

c)

The dots are not centered

d)

It is a good dot plot

49.

What is the mode?

a)

97.4

b)

97.2

c)

97

d)

96.8

50.

What is the range?

a)

97.2

b)

4

c)

3.3

d)

3.2

51.

What is wrong with this stem and leaf diagram?

a)

Nothing- it's all correct.

b)

The order.

c)

It's missing a key.

d)

The title.

52.

smallest number that can belong to a class

a)

frequency distribution

b)

lower class limit

c)

upper class limit

d)

class width

e)

range

53.

largest number that can belong to a class

a)

frequency distribution

b)

lower class limit

c)

upper class limit

d)

class width

e)

range

54.

difference between the max and min

a)

frequency distribution

b)

lower class limit

c)

upper class limit

d)

class width

e)

range

55.

percentage of data that falls in each class

a)

frequency distribution

b)

midpoint

c)

relative frequency

d)

cumulative frequency

e)

range

56.

The table above shows a cumulative frequency distribution of runners' ages. According to the table, how many runners are in their forties?

a)

25

b)

7

c)

6

d)

10

57.

In the given table, what is the class width?

(a)

58.

Observe the frequency distribution:

How many classes are there?

a)

6

b)

30

c)

1-5

d)

1-30

59.

Observe the frequency distribution:

What is the relative frequency of the first class?

a)

0.139 or 13.9%

b)

0.5 or 5%

c)

1-5

d)

5

60.

Observe the frequency distribution:

Estimate the relative frequency of the fourth class.

a)

69

b)

5.3

c)

0.189 or 18.9%

d)

0.54 or 54%

61.

It is sometimes called the class mark.

a)

Class Width

b)

Midpoint

c)

Class

d)

Interval

62.

In the second row with a frequency of 42, what is the class boundary?

a)

9.5-19.5

b)

10.5-18.5

c)

10-19

d)

10.5-19.5

63.

What is the class mark of the third row, with frequency 33?

a)

24

b)

25

c)

24.5

d)

25.5

64.

What is the range in gas mileage for cars?

a)

2

b)

3

c)

4

d)

6

65.

What is the range in gas mileage for SUVs?

a)

2

b)

3

c)

4

d)

6

66.

The following parallel dotplots show the total family income of randomly chosen individuals from Indiana (38 individuals) and New Jersey (44 individuals). Which of the following correctly compares the center of the distribution?

a)

The Indiana distribution is roughly symmetric, while the New Jersey distribution is right-skewed.

b)

The distribution for Indiana has a similar center to the distribution for New Jersey, around $45,000.

c)

The variability for Indiana is less than the variability for New Jersey.

d)

$125,000 appears to be an outlier for the Indiana distribution and there isn't any obvious outliers for the New Jersey distribution.

67.

Find the medians.
Science: _________ Math: __________

a)

science: 4.5 h; math: 3 h

b)

science: 3 h; math: 4.5 h

c)

science: 5 h; math: 5 h

d)

science: 3.5 h; math: 4 h

68.

Compare the centers and spreads.

a)

Math has a higher median (center) and a wider spread.

b)

Math has a higher median (center) and a smaller spread.

c)

Math has a lower median (center) and a smaller spread.

d)

Math has a lower median (center) and a wider spread.

69.

The double dot plots show the average wait times in minutes for two popular rides at an amusement park. Compare the measures of center and variation, which ride typically has a longer wait time?

a)

No inference can be made from the graph.

b)

Topsy Turvy

c)

The wait times are the same for both rides.

d)

Rocket Blast

70.

The dotplots compare the number of hours a group of teenagers spent on two activities.

Select the answer that is NOT true.

a)

The data for exercise has a lower center than the data for video games.

b)

Both dotplots appear to be skewed right.

c)

Both dotplots appear to have outliers.

d)

The time spent on video games had a greater range than the time spent on exercise.

71.

The masses of six children are 34.5 kilograms, 42.6 kilograms, 39.8 kilograms, 40.1 kilograms, 53.4 kilograms, and 33.8 kilograms. Find the mean mass.

a)

40.7 kg

b)

40

c)

41

d)

50

72.

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample standard deviation of Ervin's scores?

a)

511.33

b)

22.61

c)

438.48

d)

20.94

73.

What does standard deviation represent?

a)

How many different variations are in the data set.

b)

How the population varies compared to the sample.

c)

How spread out each data value is from the mean.

d)

The range, but with a bunch of other stuff going on.

74.

Find the IQR of the following numbers:

84, 88, 72, 74, 98, 16, 94

a)

78

b)

22

c)

16

d)

There is no IQR.

75.

Find the Standard Deviation

20, 24, 25, 36, 25, 22, 23

a)

20

b)

5.164

c)

3

d)

7

76.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10

a)

13

b)

12

c)

11

d)

10

77.

Find the mean of these numbers:
2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

78.

Find the median.
12, 5, 9, 18, 22, 25, 5

a)

9

b)

8

c)

12

d)

18

79.

What does a quartile mean?

a)

One fourth of the data.

b)

One half of the data.

c)

Some data only.

d)

All of the data.

80.

What is the Q1, Q2, and Q3 of the following data set?

4, 5, 6, 8, 9, 10, 11

a)

Q1: 4

Q2: 8

Q3: 11

b)

Q1: 5

Q2: 8

Q3: 10

c)

Q1: 4

Q2: 5

Q3: 6

81.

True or False
The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1).

a)

True

b)

False

82.

What is the interquartile range (IQR) for the dot plot below?

a)

20

b)

35

c)

15

d)

70

83.

What is the IQR of the following Data Set:

32, 35, 35, 36, 39, 40, 44, 48, 49

a)

Q1: 35

Q2: 39

Q3: 46

IQR: 46 - 35 = 11

b)

Q1: 35

Q2: 39

Q3: 44

IQR: 44 - 35 = 9

c)

Q1: 35

Q2: 39

Q3: 48

IQR: 48 - 35 = 13

d)

Q1: 35

Q2: 39

Q3: 46

IQR: 39 - 35 = 4

84.

What is the standard deviation for the data given:

{5, 10, 7, 12, 0, 20, 15, 22, 8, 2}

a)

6.89

b)

10.1

c)

7.26

d)

9

85.

The data sets show the test scores of a group for the last two tests.

Test 1: {75, 75, 85, 80, 65, 70, 65} Test 2: {95, 85, 85, 90, 90, 95, 100}

Which data set had the SMALLER standard deviation?

a)

Test 1 with a standard deviation of 6.9

b)

Test 2 with a standard deviation of 6.9

c)

Test 1 with a standard deviation of 5.2

d)

Test 2 with a standard deviation of 5.2

86.

What does standard deviation represent?

a)

How many different variations are in the data set.

b)

How the population varies compared to the sample.

c)

How spread out each data value is from the mean.

d)

The range, but with a bunch of other stuff going on.

87.

What is the variance for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

47.47

b)

102.01

c)

52.77

d)

81

88.

If the standard deviation of a data set is 4, what is the variance?

a)

2

b)

16

c)

4

89.

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

a)

2/11

b)

13/2

c)

3/10

d)

11/2

90.

Find the slope of the line that passes through:
(-3, -4) and (7, 6)

a)

0

b)

Undefined

c)

-1

d)

1

91.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

92.

$2m^2=-2m+12$
Solve using the quadratic formula.

a)

$x=2,-3$

b)

$x=3,-2$

c)

$x=1\pm\sqrt{13}$

d)

No Solution

93.

Solve the quadratic equation.
3x²- 8x - 8 = 0

a)

A {0.38, -0.88}

b)

B {0.89, -8.9}

c)

C . {0.13, -0.63}

d)

D . {3.44, -0.77}

94.

Solve the quadratic equation.
2p² - 2p - 55 = 5

a)

A . {3.28, -2.28}

b)

B . {2.5, -1.78}

c)

C . {6, -5}

d)

D . {-1, 4}

95.

How many people arrived between 8:00 and 8:59 PM?

a)

3

b)

8

c)

10

d)

4

96.

Which interval shows the greatest number of pets?

a)

15-19

b)

0-4

c)

5-9

d)

10-14

97.

Which interval has the greatest number of students?

a)

48-51

b)

56-59

c)

60-63

d)

64-67

98.

How many of the students have more than two siblings?

a)

11

b)

12

c)

13

d)

14

99.

Approximate the percent of the students have at least four siblings?

a)

9%

b)

27%

c)

18.52%

d)

25.93%

100.

What is the median number of siblings a student in the class has?

a)

1

b)

2

c)

3

d)

Not enough information

101.

A fair cube is rolled and lands on 2.

a)

as likely as not

b)

unlikely

c)

likely

d)

certain

102.

A fair cube is rolled and lands on 7.

a)

impossible

b)

unlikely

c)

likely

d)

certain

103.

A fair cube is rolled and lands on an even number.

a)

as likely as not

b)

unlikely

c)

likely

d)

certain

104.

What is the probability of spinning a red if we spin 30 times?

a)

1/5

b)

1/30

c)

3/30

d)

1/10

105.

There are 16 fruits in a box. Ten are apples. Find the experimental probability of pulling apple.

a)

3/8

b)

4/8

c)

5/8

d)

6/8

106.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

4/13

d)

26/52

107.

What is the probability of spinning green or blue?

a)

0

b)

5/12

c)

1/2

d)

3/4

108.

find the probability of choosing a student at random that plays an instrument OR a sport

a)

1/2

b)

13/20

c)

21/20

d)

4/5

109.

The table above displays the 100 senators of the 112th U.S Congress on January 5, 2011, classified by political party affiliation and gender. A senator is selected at random from this group. Compute the following probability: The senator is a Democrat or a female.

a)

.42

b)

.56

c)

.47

d)

.53

110.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

4/13

d)

26/52

111.

What is the probability of spinning green or blue?

a)

0

b)

5/12

c)

1/2

d)

3/4

112.

find the probability of choosing a student at random that plays an instrument OR a sport

a)

1/2

b)

13/20

c)

21/20

d)

4/5

113.

The table above displays the 100 senators of the 112th U.S Congress on January 5, 2011, classified by political party affiliation and gender. A senator is selected at random from this group. Compute the following probability: The senator is a Democrat or a female.

a)

.42

b)

.56

c)

.47

d)

.53

114.

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected without replacement, what is the probability that neither key opens the door?

a)

$\frac{1}{22}$

b)

$\frac{6}{11}$

c)

$\frac{9}{16}$

d)

$\frac{21}{22}$

115.

There are 9 movies showing at a theater. Two are action movies, two are children’s movies, and the other movies are comedies. Ashley randomly selects 2 different movies to see. What is the probability that the first movie is an action movie and the second movie is a comedy?

a)

$\frac{1}{18}$

b)

$\frac{10}{81}$

c)

$\frac{5}{36}$

d)

$\frac{7}{9}$

116.

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?

a)

$\frac{3}{20}$

b)

$\frac{1}{6}$

c)

$\frac{15}{56}$

d)

$\frac{8}{15}$

117.

An experiment consists of spinning a spinner and flipping a fair coin. The spinner consists of 4 colored sections of equal size.

• Red

• Blue

• Green

• Yellow

If the arrow on the spinner is spun one time and the coin flipped one time, what is the probability of getting the outcome “Blue, Tails”?

a)

$\frac{1}{8}$

b)

$\frac{1}{6}$

c)

$\frac{1}{4}$

d)

$\frac{3}{4}$

118.

Anna has a bag of marbles for her little sister. It contains 12 red marbles, 6 white marbles, and 2 blue marbles. She drops the bag and three marbles roll out. What is the probability that all 3 marbles are white?

a)

$\frac{1}{120}$

b)

$\frac{1}{57}$

c)

$\frac{15}{343}$

d)

$\frac{3}{20}$

119.

A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. Joshua will select a marble at random, record its color, and then put the marble back in the bag. He will select three marbles in this way. What is the probability that Joshua will first get a red marble, then a blue marble, and then a green marble?

a)

$\frac{1}{60}$

b)

$\frac{5}{144}$

c)

$\frac{5}{12}$

d)

$\frac{47}{60}$

120.

Natasha wants to unlock the supply cabinet in her office. She has 10 cabinet keys and knows that only one of these keys will unlock the supply cabinet. If she randomly selects a key without replacement, which expression represents the probability that the third key selected will unlock the supply cabinet?

a)

$\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{1}{8}\right)$

b)

$\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{7}{8}\right)$

c)

$\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{1}{10}\right)$

d)

$\left(\frac{9}{10}\right)\times\left(\frac{8}{9}\right)\times\left(\frac{7}{10}\right)$

121.

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

a)

2/52

b)

4/52

c)

4/13

d)

26/52

122.

Find the probability of choosing a card at random that is a spade OR a 7

a)

1/52

b)

1/13

c)

4/13

d)

17/52

123.

The table above displays the 100 senators of the 112th U.S Congress on January 5, 2011, classified by political party affiliation and gender. A senator is selected at random from this group. Compute the following probability: The senator is a Democrat or a female.

a)

.42

b)

.56

c)

.47

d)

.53

124.

A poll was taken of 121,973 people in the United States aged 15-44 to determine their health insurance status. The participants were classified by gender and by type of insurance coverage. The results were as follows. A person is selected at random. Compute the following probability: The person is female or has private insurance.

a)

.8417

b)

.0781

c)

.7657

d)

.6876

125.

Which of the following shows how to determine P(packers or male)?

a)

75/150 + 90/150 - 50/150

b)

75/150 + 35/150 - 25/150

c)

50/150 + 40/150 + 25/150

d)

90/150 + 50/150 - 75/150

126.

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.

a)

combination

b)

permutation

c)

neither

127.

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

a)

combination

b)

permutation

c)

neither

128.

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

a)

combination

b)

permutation

c)

neither

129.

What is the value of 8!

a)

40320

b)

36

c)

362880

d)

5040

130.

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

a)

90

b)

100

c)

12

d)

24

131.

Use your calculator.

Find the value of $12!\div6!$

a)

665,280

b)

40,320

c)

720

d)

5,280

132.

In a science fair, first, second, third, and one honorable mention will be awarded. In how many ways can this be done if there are 36 entries?

a)

1,413,720

b)

36!

c)

25,200

d)

91,390

133.

To earn a B in a science course, a student must complee and report on at least 8 of 10 experiments. In how many ways can this be done?

a)

2

b)

45

c)

18

d)

54

134.

Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he can only choose one of each flavor, how many cakes are possible?

a)

35

b)

573

c)

21

d)

105

135.

How many ways can you arrange 2 letters from the word
S Q U A R E?

a)

30

b)

140

c)

320

d)

45

136.

Student council has 24 members. In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?

a)

5,100,480

b)

0

c)

42,504

d)

5.17 x 10²¹

137.

A team of 17 volleyball players needs to choose three players to refill the water cooler. How many different ways can the players be chosen?

a)

3360

b)

560

c)

4080

d)

680

138.

Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?

a)

720

b)

36

c)

100

d)

500

2022-23 semester 1 stats review

Total questions: 138

Worksheet time: 7hrs 6mins

Similar Resources on Wayground