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MATH 135 Exam 3 Review

Total questions: 77

Worksheet time: 19hrs 15mins

Name
Class
Date
1.

A car salesman records information about the cars he is selling.


The colour of each car is _____ data

a)

Qualitative

b)

Quantitative Continuous

c)

Quantitative Discrete

2.

A shop owner records information about his customers.


The method of transport is _____ data

a)

Qualitative

b)

Quantitative Continuous

c)

Quantitative Discrete

3.

A shop owner records information about his customers.


The average amount of money spent is _____ data

a)

Qualitative

b)

Quantitative Continuous

c)

Quantitative Discrete

4.

There are 40 sheep on a farm.


The weight of the sheep is _____ data

a)

Qualitative

b)

Quantitative Discrete

c)

Quantitative Continuous

5.

The length of a football pitch is _____ data

a)

Quantitative Discrete

b)

Quantitative Continuous

c)

Qualitative

6.

Identify the data as QuaLitative or QuaNtitiative: male/female gender

a)

Qualitative

b)

Quantitiative

7.

Choose the correct data type for:

'A person's blood pressure when watching a horror movie.'

a)

Quantitative Continuous

b)

Qualitative

c)

Quantitative Discrete

8.

Choose the correct data type for:

The following TV shows: 'The Walking Dead, Game of Thrones, Dexter'.

a)

Quantitative Discrete

b)

Qualitative

c)

Quantitative Continuous

9.

What type of data is displayed by the bar graph?

a)

Qualitative

b)

Quantitative Discrete

c)

Quantitative Continuous

10.

What type of data is represented by the graph?

a)

Qualitative

b)

Quantitative Continuous

c)

Quantitative Discrete

11.

What type of data is displayed on this graph?

a)

Quantitative Discrete

b)

Qualitative

c)

Quantitative Continuous

12.

What type of data is displayed in this graph?

a)

Qualitative

b)

Quantitative Discrete

c)

Quantitative Continuous

13.

The response variable is:

a)

The variable we expect to explain or predict the value of the explanatory variable.

b)

Sometimes called the independent variable (IV)

c)

The variable we expect to change in response to the explanatory variable

d)

Also known as EV

14.

We wish to investigate the relationship between the number seeds planted in a garden and the number of fruit grown. The explanatory variable (EV) is

a)

The number of fruit grown

b)

The amount of soil in the garden

c)

The number of hours spent watering the plants

d)

The number of seeds planted

15.

We wish to investigate the relationship between the time spent shopping and the number of items bought. The response variable (RV) is

a)

The number of items bought

b)

The number of items at the shop

c)

The time spent shopping

d)

The time spent getting to the shops

16.

Which of the following is true?

a)

We use the response variable to explain changes that might be observed in the explanatory variable.

b)

The explanatory variable is the variable we expect to be explained by the response variable

c)

The response variable is also known as the predictor variable

d)

The explanatory variable is used to explain or predict the value of the response variable

17.

We wish to investigate whether a person’s age can be predicted from their IQ score. Which is the explanatory variable (EV)?

a)

Age

b)

IQ Score

c)

Both Age and IQ Score

d)

None of the Above

18.

Studies have shown that the marks received by a student depend on the amount of hours spent studying. Which is the response variable (RV)?

a)

Hours spent studying

b)

Marks

c)

Both Marks and Hours spent studying

d)

None of the above

19.

How many students scored more than 80%?

a)

10

b)

13

c)

7

d)

15

20.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
21.
What is the highest quiz grade in the stem and leaf plot?
a)
9
b)
26
c)
92
d)
96
22.

A florist records the amount of money he spent on gasoline each week to deliver orders. The list shows the data for 16 weeks.

32, 38, 40, 44, 46, 49, 53, 55, 58, 62, 65, 68, 70, 72, 81, 84

He put the data in a stem-and-leaf plot. What number did he leave out of the stem-and-leaf plot?

a)

32

b)

44

c)

65

d)

84

23.

A brown paper bag is filled with color tiles for a science experiment. How many tiles are in the bag?

a)

48

b)

20

c)

25

d)

50

24.

What percent of the tiles are green?

a)

12

b)

24

c)

50

d)

86

25.
Is a histogram the same as a bar graph?
a)
Yes, because they both use intervals.
b)
No, because a histogram displays numerical data while a bar graph displays categorical data.
c)
Yes, because they both use bars to display data.
d)
No, because a histogram displays categorical data while a bar graph displays numerical data.
26.
Is this an example of a histogram?
a)
yes
b)
no
27.
How many students scored between a 86 and a 90?
a)
1
b)
3
c)
6
d)
10
28.
How many people watched between 6 and 10 hours of TV last week?
a)
31
b)
22
c)
15
d)
35
29.
Mr. Semo is making a histogram to show the scores on the last science test. He first lists the scores in a stem-and-leaf plot. How many units tall should the bar be for the interval 70-79?
a)
2
b)
5
c)
9
d)
11
30.
What was the bear population in 2001?
a)
40
b)
45
c)
50
d)
55
31.

Between which two years did the bear population remain constant or the same?

a)

2004 and 2005

b)

2001 and 2002

c)

2005 and 2006

d)

2000 and 2001

32.

What kind of graph shows change over time?

a)

bar graph

b)

line graph

c)

line plot

d)

pie graph

33.
What is the main purpose of a line graph?
a)
to compare two things
b)
to show trends over time
c)
to have an independent variable
d)
so you don't have to read words
34.
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
35.
Dr. Dre is a dentist. He needs to report on the average number of cavities that his patients have.
1,0,1,5,6,3,4
a)
3.33
b)
2.85
c)
3
d)
3.5
36.
Find the median of these numbers:
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
37.
If there is an even number of data in the data set how do you find the median?
a)
order the data and find the middle value
b)
order the data add the 2 middle values and divide by 2
38.
The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?
a)
99 was the highest score on the test.
b)
More students received a 94 than any other score
c)
No student scored below a 50
d)
A score of 91 was slightly below average.
39.
Can there be more than one mode?
a)
Yes
b)
No
40.
What is the mean of these numbers?
4,5,5,2,3,3,2,8
a)
40
b)
24
c)
4
d)
256
41.
To find the _________ you add up all the numbers and then divide by how many numbers you have.
a)
Mean
b)
Median
c)
Mode
d)
Range
42.
To find the ________ you put all numbers in order from least to greatest and find the number that is in the middle.
a)
Mean
b)
Median
c)
Mode
d)
Range
43.

In the data set below, which number is an outlier?

45 , 40 , 39 , 43 , 38 , 97 , 37

a)

37

b)

97

c)

43

d)

45

44.

Calculate mean for the above given data.

a)

1.6

b)

1.4

c)

1.3

d)

1.8

45.

Calculate mean from the given frequency table.

a)

7

b)

8

c)

9

d)

10

46.

Find the mean from the following table...


You may need to copy the table out and add columns...

a)

11.24

b)

10.54

c)

11.84

d)

10.56

47.

For how many weeks was the data collected?

a)

48

b)

50

c)

52

d)

54

48.
How many children participated in the survey?
a)
34
b)
30
c)
32
d)
6
49.

Sam had 15 soccer games this season. His team scored the following goals for each game:

1,2,0,3,1,1,0,2,1,3,0,2,1,1,3


What is the frequency of Sam's team scoring 0 goals?

a)

15

b)

6

c)

3

d)

4

50.

Given above are marks obtained by 20 students in Math out of 25.

Find the value of x.

a)

4

b)

5

c)

7

d)

8

51.
What is the relative frequency of students speaking Spanish?
a)
16%
b)
12%
c)
24%
d)
48%
52.
What is the relative frequency of students speaking Arabic?
a)
32%
b)
24%
c)
10%
d)
2%
53.
What is the relative frequency of cheetahs at the refuge?
a)
25%
b)
20%
c)
16%
d)
100%
54.
What is the relative frequency of leopards at the refuge?
a)
20%
b)
30%
c)
40%
d)
10%
55.
What is the relative frequency of the number of studentas that have visited Florida?
a)
7%
b)
10%
c)
35%
d)
42%
56.
What is the relative frequency of the number of studentas that have visited Maine?
a)
3%
b)
15%
c)
5%
d)
30%
57.

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

58.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

59.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

60.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False

61.
If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 
a)
-5
b)
-2
c)
2
d)
5
62.

A scientist planted two groups of seedlings. After six months, she found that the heights for both groups were normally distributed with means and standard deviations as follows:


Group A: Mean = 41.7 cm, Standard Deviation = 2.2 cm


Group B: Mean = 38.6 cm, Standard Deviation = 3.4 cm


For which group does a z-score of 1.5 give a taller plant?

a)

Group A - 45 cm

b)

Group A - 43.2 cm

c)

Group B - 43.7 cm

d)

Group B - 42 cm

63.
Four data sets are shown below.
Set 1: {10, 19, 38, 50, 51}
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 51}
Set 4: {5, 28, 28, 28, 51}
Which data set has the largest standard deviation?
a)
Set 1
b)
Set 2
c)
Set 3
d)
Set 4
64.

Researchers in an early childhood development organization investigated the number of words in the vocabularies of young children. Here are some summary statistics:


18 months, mean = 85 words, standard deviation = 80 words


24 months, mean = 275 words, standard deviation = 120 words


Miku (who is 18 months old) has a vocabulary of 93 words, while Tessa (who is 24 months old) has a vocabulary of 287 words.


Relative to their age, who has a larger vocabulary?

a)

Miku

b)

Tessa

c)

Miku and Tessa have equally sized vocabularies relative to their ages.

d)

It's impossible to say without seeing all of the individual vocabulary sizes.

65.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
66.

Which is NOT true about the normal distribution curve?

a)

It is bell-shaped.

b)

The mean, median, and mode are approximately equal

c)

The smaller the standard deviation, the less spread in the curve.

d)

It is asymmetrical.

67.
According to the empirical rule, what percentage of data falls within 1 standard deviation? 
a)
25%
b)
68%
c)
95%
d)
99.7%
68.
According to the empirical rule, how much of the data falls within 3 standard deviations? 
a)
25%
b)
68%
c)
95%
d)
99.7%
69.
What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?
a)
26-32
b)
3-29
c)
26-29
d)
39-32
70.

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)

84.13

b)

15.87

c)

18.41

d)

-0.93

71.

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)

34.46

b)

28.56

c)

0.4

d)

65.54

72.

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

a)

81.86

b)

15.87

c)

97.73

d)

-81.86

73.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.


About what percent of the products last between 12 and 15 days?

a)

84.13

b)

34.13

c)

1.0

d)

0

74.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
75.

434 Company pack coffee in bags marked as 250 g

A large number of packs of coffee were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.

Assuming this data is normally distributed, what percentage of packs are underweight (250 g or less)?

a)

2.28

b)

-2

c)

97.72

d)

47.72

76.

Students pass a test if they score 50% or more.


The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.


Assuming this data is normally distributed, what percentage of students pass the test?

a)

84.13

b)

15.83

c)

1

d)

-1

77.

A company makes parts for a machine. The lengths of the parts must be within certain limits or they will be rejected.


A large number of parts were measured and the mean and standard deviation were calculated as 3.1 m and 0.005 m respectively.


Assuming this data is normally distributed and 99.7% of the parts were accepted, what are the limits?

a)

Between 3.075 m and 3.125 m

b)

Between 3.080 m and 3.120 m

c)

Between 3.085 m and 3.115 m

d)

Between 3.090 m and 3.110 m

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