QUESTIONS

Question 1

A study took a random sample of students and asked them how many hours the studied and how many hours they played video games on the day before a test. The data showed that students who spent more time studying earned higher test scores than students who spent more time playing video games. Select the correct answer below.

The study is an observatory study
The study is an experiment. The controlled factor is student’s test scores.
The study is an experiment. The controlled factor is the survey.
The study is an experiment. The controlled factor is time spent playing video games.

Question 2

Collecting credit scores of mortgage applicants are always part of the mortgage approval process for many banks. What is the level of measurement of the data?

Select the correct answer below

Nominal
Ordinal
Interval
Ratio

Question 3

Matthew wants to estimate the mean height of students attending his college. He records the height of 50 randomly selected students attending the college. What is the sample?

The mean height of the randomly selected students.
The Mean height of all students attending the college
The 50 randomly selected students.
All the students attending the college
The heights of the randomly selected students

Question 4

To study the sleeping habits of all band members in his school, Christopher obtains a list of the band members and collects data from every 10^th person on the list. Which type of sampling is used?

Select the correct answer below;

Cluster sampling
Stratified sampling
Systematic sampling
Convenience sampling

Question 5

In order to study the mean blood pressure of people in his town, Richard samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used?

Select the correct answer below.

Convenience sampling
Cluster sampling
Stratified sampling
Systematic sampling

Question 6

A small startup company wishes to know how many hours, per week, that its employees spend commuting to and from work. The number of hours for each employee are shown below. Construct a frequency table for grouped data using four classes.

13, 5, 4, 16, 13, 6, 4, 23, 21, 7, 12, 23, 13, 5, 8, 8, 7, 13, 16

Provide your answer below.

Lower Class Limit	Upper Class Limit	Frequency
_________	__________	_________
__________	___________	____________
__________	___________	__________
___________	____________	_____________

Question 7

The frequency table below shows the ages of the students in an astronomy class.

Complete the Relative Frequency column of the table.

Provide your answer below;

Age	Frequency	Relative Frequency
17	17
18	3
19	6
20	8
21	2
22	14

Question 8

A group of students were surveyed about the number of times they went to a movie theatre last year. Their responses are summarized in the relative frequency table below.

What is the missing relative frequency?

Number of Movies	Relative Frequency
0 – 1	0.08
2 – 3	0.20
4 – 5	0.30
6 – 7	_____
8 – 9	0.10
10 or more	0.08

Question 9

The values and relative frequencies for a set of data are shown below. Compare the cumulative relative frequency table.

Provide your answer below

Data Value	Relative Frequency	Cumulative Relative Frequency
1	0.33
2	0.06
3	0.25
4	0.36

Question 10

A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 6.

Value	Frequency
2	3
3	4
4	6
5	3
6	2
7	3
8	4
9	5
10	4
11	4
12	2

Provide the answer below;

Question 11

Describe the shape of the given histogram;

Select the correct answer below;

Uniform
Unimodal and symmetric
Unimodal and left-skewed
Unimodal and right-skewed
Bimodal

Question 12

A set of data is summarized by the stem and leaf plot below.

Stem	Leaf
1	0 1 2 2 2 3 5 6 7 7 8 8 9 9
2	0 0 1 2 2 2 3 4 5 7 7 7 7 8 8 8
3	0 0 0 0 1 1 1 3 4 4 6 6 7 9
4	0 0 0 0 1 1 1 2 2 2 3 6 6 8 8 9

Provide your answer below;

The value 11 appears _____ time(s) in the data set. The value 24 appears ________ time(s) in the data set. The value 43 appears ______ times in the data set. The value 49 appears ______ time(s) in the data set.

Question 13

Find the median for the following set of data;

53, 46, 45, 44, 38, 32, 47, 43, 36

Provide your answer below;

Median =

Answer = 44

Question 14

The following is a data set of the average weekly number of cups of coffee consumed by employees in an office. Find the mean and median and determine if the mean or median is the better measure of central tendency.

1, 0, 3, 7, 0, 1, 27, 1, 5, 7, 3, 1, 2, 9, 8

Select the correct answer below.

Mean = 3, Median = 3. The mean is the better measure of central tendency.
Mean = 3, Median = 5. The median is the better measure of central tendency.
Mean = 5, Median = 3. The mean is the better measure of central tendency.
Mean = 5, Median = 3. The media is the better measure of central tendency.

Question 15

If the median of a data set is 5 and the mean is 11, which of the following is most likely?

Select the correct answer below.

The data are skewed to the left
The data are skewed to the right
The data are symmetrical

Question 16

Given the following box-and-whisker plot, decide if the data is skewed or symmetrical.

Select the correct answer below.

The data are skewed to the left.
The data are skewed to the right.
The data are symmetric.

Question 17

The following data values represent the daily amount spent by a family during a 5 day summer vacation. Find the standard deviation of this dataset:

$120, $60, $250, $120, $200

Round the final answer to one decimal place.

Standard deviation =

Question 18

The following data set represents the ages of all six grandchildren in a family.

Find the variance for this data set of ages;

6, 3, 14, 11, 14, 6.

Round the final answer to one decimal place.

Variance =

Question 20

The five-number summary for a set of data is given below

Min	Q1	Median	Q3	Max
40	69	72	79	86

Using the interquartile range, which of the following are outliers? Select all correct answers.

Question 21

The box-and-whisker plot shows the number of pigeons spotted by visitors at the park during the last weekend.

What is the range of data?

Question 22

A deck of cards contains red cards numbered 1, 2, 3 and blue cards numbered 1, 2, 3, 4, 5, 6, 7. Let R be the event of drawing a red card, B to be the event of drawing a blue card, E to be the event of drawing an even-numbered card, and O to be the event of drawing an odd card.

Drawing the blue 6 is an example of which of the following events? Select all correct answers.

B OR O
E’
R AND O
R OR E
R’
R OR O

Question 23

A deck of cards contains red cards numbered 1, 2, blue cards numbered 1, 2, 3, 4 and green cards numbered 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17. If a single card is picked at random, what is the probability that the card is blue? Give your answer as a fraction.

Question 24

Which of the pair of events below is dependent?

Drawing a 2 and drawing a 4 with replacement from a standard deck of cards
Rolling two 4’s from two rolls of a standard die
Drawing a heart and drawing another heart with replacement from a standard deck of cards
Drawing a face card and then drawing a 3 without replacement from a standard deck of cards.

Question 25

Fill in the following contingency table and find the number of students who both go to the beach AND go to the mountains.

Students	Go to the mountains	Do not go to the mountains	Total
Go to the beach			36
Do not go to the beach		21
Total	48		95

ANSWERS

Question 1

The study is an observatory study
The study is an experiment. The controlled factor is student’s test scores.
The study is an experiment. The controlled factor is the survey.
The study is an experiment. The controlled factor is time spent playing video games.

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(Answered) MATH 225 Week 4: Midterm Exam Week 1 – 4