Quiz about 04 Measures of Central Tendency Unit Review

Question 1

Find the median of the following data set:
{ 7, 1, 1, 7, 1, 4, 1 }

Accepted Answer

1

Answer

4

Answer

7

Answer

5

Question 2

Find the mean of the following data set:
{ 90, 100, 95, 85, 60, 80 }

Accepted Answer

85

Answer

84

Answer

86

Answer

90

Question 3

The number of pages that Carolyn wrote in her journal each day from Monday to Friday is shown below:
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?

Accepted Answer

9

Answer

5

Answer

6

Answer

11

Question 4

In order to find the _________, the data must be ordered from least to greatest first.

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Midrange

Question 5

What is the mode?

Accepted Answer

The value that occurs the most often in a data set

Answer

The middle number in an ordered set of data

Answer

The sum of all the numbers in a data set divided by the size

Answer

The sum of the between the greatest and the least elements, divided by two

Question 6

What is the mean?

Accepted Answer

The sum of all the numbers in a data set divided by the size

Answer

The value that occurs the most often in a data set

Answer

The middle number in an ordered set of data

Answer

The sum of the between the greatest and the least elements, divided by two

Question 7

What is the median?

Accepted Answer

The middle number in an ordered set of data

Answer

The value that occurs the most often in a data set

Answer

The sum of all the numbers in a data set divided by the size

Answer

The sum of the between the greatest and the least elements, divided by two

Question 8

What is the midrange?

Accepted Answer

The sum of the greatest and the least elements, divided by two

Answer

The value that occurs the most often in a data set

Answer

The middle number in an ordered set of data

Answer

The sum of all the numbers in a data set divided by the size

Question 9

To find the mean of a set of numbers, add up all the items and divide by...

Accepted Answer

The number of items in the set (the size).

Answer

2

Answer

The greatest element

Answer

The least element

Question 10

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode of the number of donut holes per bag described in the sample below:
{12,10,10,10,13,12,11,13,10}

Accepted Answer

10

Answer

13

Answer

12

Answer

11

Question 11

A data set can have more than one _______

Accepted Answer

Mode

Answer

Median

Answer

Mean

Answer

Midrange

Question 12

The mode score on the 6th grade math test was 94. Which of these interpretations must be correct?

Accepted Answer

More students received a 94 than any other score

Answer

94 was the highest score on the test.

Answer

No student scored below a 94

Answer

94 students received a perfect grade

Question 13

The heights of six students in a class are given below:
158cm 172cm 164cm
164cm 167cm 159cm
However, there were actually seven students in the class, and the mean height in the class was 165 cm. What was the height of the unknown student?

Accepted Answer

171 cm

Answer

164 cm

Answer

166 cm

Answer

169 cm

Question 14

What is the only Measure of Central Tendency that can be used to describe nominal data?

Accepted Answer

mode

Answer

mean

Answer

median

Answer

midrange

Question 15

Estimate the median of this frequency table.

Accepted Answer

45

Answer

34.5

Answer

40

Answer

45.8

Question 16

Estimate the mean of this frequency table.

Accepted Answer

45.8

Answer

42.5

Answer

47.5

Answer

52.3

Question 17

On a container ship there were 30 small containers that each weighed 3 tons, 20 medium containers that each weighed 5 tons, and 10 large containers that each weighed 8 tons.

Find the mean weight of the containers on this ship.

Accepted Answer

4.5 tons

Answer

4 tons

Answer

5 tons

Answer

5.5 tons

Question 18

On a container ship there were 30 small containers that each weighed 3 tons, 20 medium containers that each weighed 5 tons, and 10 large containers that each weighed 8 tons.

Find the median weight of the containers on this ship.

Accepted Answer

4 tons

Answer

4.5 tons

Answer

5 tons

Answer

5.5 tons

Question 19

On a container ship there were 30 small containers that each weighed 3 tons, 20 medium containers that each weighed 5 tons, and 10 large containers that each weighed 8 tons.

Find the mode of the weights of the containers on this ship.

Accepted Answer

3 tons

Answer

3.5 tons

Answer

4 tons

Answer

4.5 tons

Question 20

On a container ship there were 30 small containers that each weighed 3 tons, 20 medium containers that each weighed 5 tons, and 10 large containers that each weighed 8 tons.

Find the midrange of the weights of the containers on this ship.

Accepted Answer

5.5 tons

Answer

4 tons

Answer

4.5 tons

Answer

5 tons

Question 21

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?

Accepted Answer

155

Answer

127

Answer

156

Answer

193

Question 22

The mean of the data set
{ 3, 9, 2, 1, x } is 4.
Find the value of x.

Accepted Answer

5

Answer

3

Answer

0

Answer

7

Question 23

The mean of five numbers is 26. The first four numbers are 10, 20, 30, and 20. Find the value of the 5th number.

Accepted Answer

50

Answer

130

Answer

80

Answer

20

Question 24

What is the mode of the data set that is represented by this dot plot?

Accepted Answer

100

Answer

20

Answer

80, 85, and 90

Answer

none

Question 25

What is the mean of the data set that is represented by this dot plot?

Accepted Answer

~91.9

Answer

100

Answer

95

Answer

none

Question 26

What is the median of the data set that is represented by this dot plot?

Accepted Answer

95

Answer

100

Answer

~91.9

Answer

none

Question 27

Find the final grade for a student with the following grades: Test 89, quiz 92, homework 86, and classwork 95.
---
The test score is 60% of the final grade, quiz is 15%, homework is 10%, and classwork is 15%.

Accepted Answer

90.05

Answer

89.25

Answer

91.55

Answer

88.55

Question 28

A student's grade in a Psychology course is comprised of tests (40%), quizzes (20%), papers (20%), and a final project (20%).
---
His scores for each of the categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project). Calculate his overall grade.

Accepted Answer

89.2

Answer

90.25

Answer

88.2

Answer

86.7

Question 29

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

Accepted Answer

Add the two numbers in the middle & then divide by two.

Answer

Pick your favorite number

Answer

They are both the median

Answer

You should round up, so pick the larger number.

Question 30

Which of the following is a true statement about the data sets that generated these dot plots?

Accepted Answer

The cars data is skewed left

Answer

The SUV data is skewed right

Answer

The cars data is symmetric

Answer

The SUV data is symmetric

Question 31

If a set of data has a Median of 23 and a Mean of 30, that data set is...

Accepted Answer

Skew right

Answer

Uniform

Answer

Skew left

Answer

Symmetric, but not uniform

Question 32

If a set of data has a Median of 23 and a Mean of 23, that data set is...

Accepted Answer

Symmetric, but not necessarily uniform

Answer

Skew right

Answer

Skew left

Answer

Definitely uniform

Question 33

Describe the distribution (shape) of the data set that generated this histogram:

Accepted Answer

Skew right

Answer

Skew left

Answer

Symmetric, but not uniform

Answer

Uniform

Question 34

How would you describe the distribution (shape) of this data?

Accepted Answer

Symmetric, but not uniform

Answer

Skew left

Answer

Uniform

Answer

Skew right

Question 35

Describe the distribution (shape) of the data set described by this graph.

Accepted Answer

Skew right

Answer

Skew left

Answer

Uniform

Answer

Symmetric, but not uniform

Question 36

A data set where the data is roughly equally distributed throughout its interval is called a/an ___________ set.

Accepted Answer

Uniform

Answer

Skew left

Answer

Skew right

Answer

Symmetric

Question 37

Review: The _______ is the subset of the population that is actually observed.

Accepted Answer

Sample

Answer

Population

Answer

Field of Study

Answer

Statistic

Question 38

Review: The _______ is the entire set of data that a statistical study is interested in.

Accepted Answer

Population

Answer

Sample

Answer

Field of Study

Answer

Statistic

Question 39

Review: _______ are characteristics of a field of study that are believed to influence the data.

Accepted Answer

Determining Variables

Answer

Categoricals

Answer

Data points

Answer

Individuals

Question 40

Review: What is the name of an observation or survey that indicates that all the data points in the population have been collected?

Accepted Answer

Census

Answer

Sample

Answer

Statistic

Answer

Data

Question 41

Review: Which of the following is an example of quantitative data?

Accepted Answer

A person's height

Answer

The color of your car

Answer

A person's state of residence

Answer

A person's Zip Code

Question 42

Review: What would be the population in this example?
"Researchers in a mall choose shoppers to ask about the products they prefer."

Accepted Answer

The product preferences of all shoppers in the mall

Answer

The researchers

Answer

All shoppers in the mall

Answer

The product preferences of the shoppers who were surveyed

Question 43

Review: What would be the sample in this example?
"Researchers in a mall choose shoppers to ask about the products they prefer."

Accepted Answer

The product preferences of the shoppers who were surveyed

Answer

The researchers

Answer

All shoppers in the mall

Answer

The product preferences of all shoppers in the mall

Question 44

Review: A beverage company wanted to see if people in the United States liked their new logo.
Which would be the best choice of sampling procedure for this study?

Accepted Answer

A selection of shoppers from different states in the US.

Answer

Every person in the United States.

Answer

153 male and female employees of the beverage company.

Answer

A selection of logo artists.

Question 45

Review: The last cell of the "cf" column in a frequency table always equals...

Accepted Answer

the size of the data set

Answer

the mean

Answer

the median

Answer

1

04 Measures of Central Tendency Unit Review

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