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Fundamentals of Statistics: Midterm Exam

Total questions: 75

Worksheet time: 2hrs 47mins

Name
Class
Date
1.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
2.
What is the highest quiz grade in the stem and leaf plot?
a)
9
b)
26
c)
92
d)
96
3.

Which charts and/or graphs are BEST for comparing categorical data?

Select all that apply.

a)

Pie charts

b)

Stem plots

c)

Dot plots

d)

Histograms

4.

Coach Carter recorded the number of points his players scored during the basketball season. How many players are on his team?

a)

4

b)

6

c)

13

d)

39

5.

Select the type of graph pictured here, and which type of data it represents.

a)

Graph: stem plot; Data: categorical

b)

Graph: stem plot; Data: quantitative

c)

Graph: dot plot; Data: categorical

d)

Graph: dot plot; Data: quantitative

e)

Graph: histogram; Data: categorical

6.

How many interviewed like skateboards but DO NOT like snowmobiles?

a)

80

b)

25

c)

45

d)

10

7.

What percent of students have a height between 58 inches and 60 inches?

a)

25%

b)

50%

c)

75%

d)

100%

8.
How many people watched more than 6 hours of TV?
a)
10
b)
5
c)
20
d)
17
9.

Which interval contained the fewest scores?

a)

0-9

b)

50-59

c)

both 0-9 and 50-59

d)

10-19

10.

What do you do if there are two numbers in "the middle" when you are finding the median?

a)

Pick your favorite number

b)

They are both the median

c)

Find the mean of the two numbers

d)

None of the above

11.

What is the mode of the following data set...


4 , 8 , 5 , 17 , 5 , 4 , 9 , 5 , 6 , 82

a)

4

b)

9

c)

6

d)

5

12.

If you score 76, 85, 97, and 83 on your math tests for the unit, what would your median score be?

a)

84

b)

90

c)

85

d)

88

13.

Find the mean of these numbers:


5, 11, 2, 12, 4, 2

a)

2

b)

6

c)

4.5

d)

5

14.

The average temperatures across Washington, Texas, Oklahoma, New York, Missouri, Georgia, Hawaii and Michigan are 48°F, 65°F, 60°F, 45°F, 54°F, 64°F, 70°F and 45°F respectively. Find the median.

a)

25° F

b)

57° F

c)

56°

d)

50° F

15.

Alfonso plays basketball on a team. He has played three games so far. In the first game, he scored 10 points. In the second game, he scored 16 points. In the third game, he scored 7 points. What is Alfonso's average points per game?

a)

9 Points

b)

10 Points

c)

11 Points

16.
Find the median of these numbers:
4, 2, 7, 4, 3
a)
2
b)
5
c)
7
d)
4
17.
What measure of central tendency (mean, median or mode) would be best for the following set of data?
0, 89, 92, 97, 99, 100
a)
Mode, because it is the one that shows up the most.
b)
Median, because there is an outlier.  The outlier could be incorrect and would influence the mean too much.
c)
Mean, because there is not an outlier.  You should always use the mean.
d)
There is not a best measure of central tendency for this data.
18.
The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?
a)
-1.33
b)
1.33
c)
0.88
d)
1.02
19.
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?
a)
0.6915
b)
0.1762
c)
0.8238
d)
-0.93
20.
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have more than 7 accidents?
a)
0.3446
b)
0.2856
c)
0.4
d)
0.6554
21.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
22.
The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch. 
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?
a)
92.4%
b)
10.5%
c)
16%
d)
7.6%
23.
The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?
a)
115
b)
130.75
c)
145
d)
120
24.
What is the the total area under the standard normal distribution curve?
a)
100
b)
25
c)
.5
d)
1
25.
μ = 70 , σ = 8 , X = 50 . Find z score
a)
2.5
b)
-2.5
c)
5.2
d)
-5.2
26.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

27.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

28.

Describe the relationship between the variables.

a)

A) Weak negative correlation

b)

B) Moderate negative correlation

c)

C) Moderate positive correlation

d)

D) Strong negative correlation

29.

As x increases, y decreases.

a)

A) no correlation

b)

B) negative correlation

c)

C) correlation coefficient

d)

D) positive correlation

30.

As x increases, y increases

a)

A) correlation coefficient

b)

B) causation

c)

C) positive correlation

d)

D) negative correlation

31.

What type of correlation (association)?

Ice cream sales and shark attacks.

a)

A) Positive correlation

b)

B) Negative correlation

c)

D) No correlation

32.
Interpret the slope of the Least Squares Line Equation.
a)
Income increases by 31.45 with each additional hour worked.
b)
Income increases by 31.45
c)
As hours increases by one, income will increase by 31.45, on average
d)
As hours increases by one, income will increase by 31.45
33.

Identify the Population:

Hartford County Public Schools randomly selected 230 teachers to find out which technology resource it's teachers feel is the most effective.

a)

230 Teachers

b)

All Hartford County Teachers

c)

Students

d)

Public Schools in Hartford County

34.
A quantity calculated from the observations in a SAMPLE.
a)
Parameter
b)
Study
c)
Statistic
d)
Observation
35.
A numerical characteristic of the POPULATION
a)
Statistic
b)
Parameter
c)
Observation
d)
Study
36.
A television station is interested in predicting whether voters in its viewing area are in favor of federal funding for abortions. It asks its viewers to phone in and indicate whether they support/are in favor of or are opposed to this. Of the 2241 viewers who phoned in, 1574 (70.24%) were opposed to federal funding for abortions.
This method of sampling likely suffered from...
a)
undercoverage
b)
voluntary response bias
c)
response bias
d)
non-response bias
37.

The CCSU Student Union wants to know what type of events students are interested in so they decide to get a sample of undergraduate students. Which of the following would be the least useful variable to stratify by?

a)

major

b)

whether or not a student lives on or off campus

c)

grade level

d)

whether or not they drink coffee

38.
Dylan wants to know how the students at his school rate the cafeteria.  He surveyed his school's basketball team to rate the school cafeteria. Is this a biased sample of the school's population?
a)
Yes, because it is a convenience survey
b)
No, the basketball team has the smartest students
c)
Yes, because it's voluntary survey
d)
No, he should have asked the football team
39.
Source of bias that occurs when an individual chosen for the sample CAN'T be contacted or refuses to cooperate.
a)
Response Bias
b)
Undercoverage
c)
Nonresponse
d)
Voluntary Response
40.
The process of gathering information/data from EACH member of the population.
a)
Census
b)
Interview
c)
Survey
d)
Questionnaire
41.

Which sampling technique keeps the same proportions in the sample as in the population?

a)

stratified

b)

opportunity

c)

random

d)

self-selected

42.

In order to select a random sample of homes in Fresno, a polling company randomly selects 10 streets from a list of all streets in the city and surveys all houses on those 10 streets. This is an example of which of the following sampling methods?

a)

Simple Random Sample

b)

Cluster Sample

c)

Stratified Random Sample

d)

Systematic Sample

e)

Convenience Sample

43.
Sampling method that consists of n individuals from the population chosen in such a way that every individual has an EQUAL chance of being selected.
a)
Stratified Sampling
b)
Simple Random Sampling (SRS)
c)
Cluster Sampling
d)
Systematic Sampling
44.

Leslie surveyed the 20 youngest students in the elementary school. What type of bias is this?

a)

Voluntary Response Bias

b)

Nonresponse Bias

c)

Undercoverage Bias

45.

A school newspaper is going to investigate students' perceptions regarding the campus security guards. They plan to survey 100 students at the school. The editor-in-chief tells his staff that he is worried about undercoverage bias created by chronically truant students. His concern is...

a)

unwarranted because some students may refuse to participate and that is inevitable.

b)

justified because chronically truant students will be difficult to survey and may have a disproportionately negative view of security guards.

c)

unwarranted because students who cannot be surveyed are not a part of the population of interest.

d)

unwarranted because students who cannot be surveyed are not a part of the sample.

e)

justified because people need to be forced to answer a survey in order for the results to be valid.

46.

Which question could lead to non-sampling error due to wording?

a)

Tell me about any problems your school has with sustainability.

b)

What is your school's relationship with sustainability?

c)

Tell me about your school's relationship with sustainability?

d)

How would you describe your school's relationship with sustainability?

47.

These are variables that can potentially distort the relationship between the explanatory variable and the response variable.

a)

confounding variables

b)

confusing variables

c)

constructing variables

d)

extraneous variables

48.

An observational study can NOT suggest

a)

cause and effect

b)

a significant relationship

c)

two variables are independent

d)

two variables are associated

49.
Can pleasant aromas help a student learn better? Two researchers believed that the presence of a floral scent could improve a person’s learning ability in certain situations. They had 22 people work through a pencil-and-paper maze six times, three times while wearing a floral-scented mask and three times wearing an unscented mask. The three trials for each mask closely followed one another. Testers measured the length of time it took subjects to complete each of the six trials. They reported that, on average, subjects wearing the floral-scented mask completed the maze more quickly than those wearing the unscented mask, although the difference was not statistically significant. This study is
a)
a convenience sample 
b)
an observational study, not an experiment
c)
an experiment, but not a double-blind experiment 
d)
a double-blind experiment
50.

Probability can be written as a 

a)

fraction

b)

percent

c)

decimal

d)

all of the above

51.

A die is rolled. What is the probability that the result is less than 3 ?

a)

1/3

b)

1/6

c)

1/2

d)

1/4

52.

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

a)

0

b)

1/6

c)

2/3

d)

1

53.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 

a)

5/7

b)

2/7

c)

5/49

d)

10/49

54.

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

P (NOT lime)

a)

7/10

b)

3/10

c)

30%

d)

no answer

55.

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)

1/3

c)

1/2

d)

1/6

56.

What is the probability of choosing a vowel from the alphabet?

a)

5/26

b)

1/26

c)

2/26

d)

7/21

57.

Experimental Probability is:

a)

What actually happens

b)

What I think Happens

c)

What should happen

d)

What Will happen 

58.

Which one of the following is a discrete random variable?

a)

Sam's height

b)

Sam weight

c)

Time Sam's runs the 110 m hurdles

d)

Amount of Sam's brothers and sisters

59.

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

a)

$1

b)

$0.50

c)

-$0.50

d)

$0

60.

What makes a probability distribution uniform?

a)

When all possible outcomes have an equal chance or probability of occurring.

b)

When the graph is a straight line with at any angle.

c)

When the outcomes are discrete.

d)

When the outcomes are continuous.

61.

Which of the following is NOT a uniform distribution?

a)
b)
c)
d)
62.

This probability distribution gives only two possible results in an experiment, either SUCCESS or FAILURE.

a)

Binomial Distribution

b)

Random Variable

c)

Probability

d)

Discrete

63.
The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. How many blood donors should the American Red Cross expect to collect from until it gets a donor with Type B blood? 
a)
9.1 donors
b)
8.5 donors
c)
10.3 donors
d)
Cannot be determined.
64.
The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that the tenth blood donor is the first donor with Type B blood?
a)
approximately 0.00
b)
0.316
c)
0.0385 
d)
0.279
65.
Given 13% of people are left-handed.  What is the probability the first left-handed person will be the sixth person polled?  
a)
.0564
b)
.1116
c)
.0001
d)
.0648
66.
A certain maternity wing has a mean number of 6 babies born a day.  What is the probability of 7 babies being born in this maternity wing on any given day?
a)
.8571
b)
.1490
c)
.1377
d)
.0213
67.
According to the BMV, about 93% of all people who take the driving test pass.  What is the probability it will take someone more than two times to pass the test?
a)
.9300
b)
.0651
c)
.9951
d)
.0049
68.

Use the Venn diagram to find the probability that a randomly chosen doctor from Leoneville General is...

A male surgeon

a)

0.39

b)

0.58

c)

0.19

d)

0.68

69.

Use the Venn diagram to find the probability that a randomly chosen doctor from Leoneville General is...

A female, but not a surgeon

a)

0.42

b)

0.29

c)

0.13

d)

0.19

70.

Use the Venn diagram to find the probability that a randomly chosen doctor from Leoneville General is...

A surgeon OR female

a)

0.52

b)

0.81

c)

1.10

d)

0.58

71.

You pick 2 cards from a standard deck of cards, WITHOUT REPLACEMENT, what is the probability that you draw two black cards?

a)

0.2450.245

b)

0.50.5

c)

0.990.99

d)

0.250.25

72.

You pick 2 cards from a standard deck of cards, WITHOUT REPLACEMENT, what is the probability that you draw a club (clover) and then a heart?

a)

0.0640.064

b)

0.2550.255

c)

0.0590.059

d)

0.2450.245

73.

A small veterinary practice currently has 95 patients that they see regularly. Twelve of the animals are birds, 22 are cats, and 61 are dogs. An emergency call comes into the office, what is the probability that the animal that needs to be seen is a cat or a dog?

a)

8395≈0.8737\frac{83}{95}\approx0.8737

b)

7395≈0.7684\frac{73}{95}\approx0.7684

c)

6195≈0.6421\frac{61}{95}\approx0.6421

d)

none of these

74.
Of the mechanical engineers, what is the probability that math is their favorite subject?
a)
1.91
b)
52%
c)
17%
d)
35%
75.
What percentage of the days that it rained, did they forecast no rain?
a)
About 20%
b)
About 18%
c)
About 14%
d)
About 12%

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