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Worksheets04 Measures of Central Tendency Unit Review
Total questions: 50
Worksheet time: 11hrs 20mins
Name
Class
Date
1.
Find the median of the following data set:
{ 7, 1, 1, 7, 1, 4, 1 }
{ 7, 1, 1, 7, 1, 4, 1 }
a)
4
b)
7
c)
1
d)
5
2.
Find the mean of the following data set:
{ 90, 100, 95, 85, 60, 80 }
{ 90, 100, 95, 85, 60, 80 }
a)
85
b)
84
c)
86
d)
90
3.
What is the symbol for sample size?
a)
n
b)
N
c)
μ
d)
x̄
4.
What is the symbol for population size?
a)
n
b)
N
c)
μ
d)
x̄
5.
What is the symbol for the population mean?
a)
n
b)
N
c)
μ
d)
x̄
6.
What is the symbol for the sample mean?
a)
n
b)
N
c)
μ
d)
x̄
7.
What is the symbol for "the sum of"?
a)
Ω
b)
∏
c)
μ
d)
Σ
8.
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?
9, 8, 12, 6, 10
What is the mean number of pages she wrote per day?
a)
5
b)
6
c)
9
d)
11
9.
In order to find the _________, the data must be ordered from least to greatest first.
a)
Median
b)
Mean
c)
Mode
d)
Midrange
10.
What is the mode?
a)
The value that occurs the most often in a data set
b)
The middle number in an ordered set of data
c)
The sum of all the numbers in a data set divided by the size
d)
The sum of the between the greatest and the least elements, divided by two
11.
What is the mean?
a)
The value that occurs the most often in a data set
b)
The middle number in an ordered set of data
c)
The sum of all the numbers in a data set divided by the size
d)
The sum of the between the greatest and the least elements, divided by two
12.
What is the median?
a)
The value that occurs the most often in a data set
b)
The middle number in an ordered set of data
c)
The sum of all the numbers in a data set divided by the size
d)
The sum of the between the greatest and the least elements, divided by two
13.
What is the midrange?
a)
The value that occurs the most often in a data set
b)
The middle number in an ordered set of data
c)
The sum of all the numbers in a data set divided by the size
d)
The sum of the greatest and the least elements, divided by two
14.
To find the mean of a set of numbers, add up all the items and divide by...
a)
2
b)
The greatest element
c)
The least element
d)
The number of items in the set (the size).
15.
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}
{12,10,10,10,13,12,11,13,10}
a)
13
b)
12
c)
11
d)
10
16.
A data set can have more than one _______
a)
Median
b)
Mode
c)
Mean
d)
Midrange
17.
The mode score on the 6th grade math test was 94. Which of these interpretations must be correct?
a)
94 was the highest score on the test.
b)
More students received a 94 than any other score
c)
No student scored below a 94
d)
94 students received a perfect grade
18.
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?
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?
a)
164 cm
b)
166 cm
c)
171 cm
d)
169 cm
19.
What is the only Measure of Central Tendency that can be used to describe nominal data?
a)
mean
b)
median
c)
mode
d)
midrange
20.
Estimate the median of this frequency table.
a)
34.5
b)
40
c)
45
d)
45.8
21.
Estimate the mean of this frequency table.
a)
42.5
b)
45.8
c)
47.5
d)
52.3
22.
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.
a)
4.5 tons
b)
4 tons
c)
5 tons
d)
5.5 tons
23.
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.
a)
4.5 tons
b)
4 tons
c)
5 tons
d)
5.5 tons
24.
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.
a)
3.5 tons
b)
3 tons
c)
4 tons
d)
4.5 tons
25.
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.
a)
4 tons
b)
4.5 tons
c)
5 tons
d)
5.5 tons
26.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?
a)
127
b)
155
c)
156
d)
193
27.
The mean of the data set
{ 3, 9, 2, 1, x } is 4.
Find the value of x.
{ 3, 9, 2, 1, x } is 4.
Find the value of x.
a)
3
b)
0
c)
7
d)
5
28.
The mean of five numbers is 26. The first four numbers are 10, 20, 30, and 20. Find the value of the 5th number.
a)
130
b)
80
c)
50
d)
20
29.
What is the mode of the data set that is represented by this dot plot?
a)
100
b)
20
c)
80, 85, and 90
d)
none
30.
What is the mean of the data set that is represented by this dot plot?
a)
100
b)
~91.9
c)
95
d)
none
31.
What is the median of the data set that is represented by this dot plot?
a)
100
b)
~91.9
c)
95
d)
none
32.
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%.
---
The test score is 60% of the final grade, quiz is 15%, homework is 10%, and classwork is 15%.
a)
89.25
b)
91.55
c)
90.05
d)
88.55
33.
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.
---
His scores for each of the categories are 85 (tests), 100 (quizzes), 92 (papers) and 84 (final project). Calculate his overall grade.
a)
90.25
b)
88.2
c)
89.2
d)
86.7
34.
What do you do if there are two numbers in "the middle" when you are finding the median?
a)
Pick your favorite number
b)
Add the two numbers in the middle & then divide by two.
c)
They are both the median
d)
You should round up, so pick the larger number.
35.
Which of the following is a true statement about the data sets that generated these dot plots?
a)
The cars data is skewed left
b)
The SUV data is skewed right
c)
The cars data is symmetric
d)
The SUV data is symmetric
36.
If a set of data has a Median of 23 and a Mean of 30, that data set is...
a)
Skew right
b)
Uniform
c)
Skew left
d)
Symmetric, but not uniform
37.
If a set of data has a Median of 23 and a Mean of 23, that data set is...
a)
Skew right
b)
Symmetric, but not necessarily uniform
c)
Skew left
d)
Definitely uniform
38.
Describe the distribution (shape) of the data set that generated this histogram:
a)
Skew left
b)
Symmetric, but not uniform
c)
Skew right
d)
Uniform
39.
How would you describe the distribution (shape) of this data?
a)
Skew left
b)
Uniform
c)
Skew right
d)
Symmetric, but not uniform
40.
Describe the distribution (shape) of the data set described by this graph.
a)
Skew right
b)
Skew left
c)
Uniform
d)
Symmetric, but not uniform
41.
A data set where the data is roughly equally distributed throughout its interval is called a/an ___________ set.
a)
Uniform
b)
Skew left
c)
Skew right
d)
Symmetric
42.
Review: The _______ is the subset of the population that is actually observed.
a)
Sample
b)
Population
c)
Field of Study
d)
Statistic
43.
Review: The _______ is the entire set of data that a statistical study is interested in.
a)
Sample
b)
Population
c)
Field of Study
d)
Statistic
44.
Review: _______ are characteristics of a field of study that are believed to influence the data.
a)
Determining Variables
b)
Categoricals
c)
Data points
d)
Individuals
45.
Review: What is the name of an observation or survey that indicates that all the data points in the population have been collected?
a)
Sample
b)
Census
c)
Statistic
d)
Data
46.
Review: Which of the following is an example of quantitative data?
a)
The color of your car
b)
A person's state of residence
c)
A person's Zip Code
d)
A person's height
47.
Review: What would be the population in this example?
"Researchers in a mall choose shoppers to ask about the products they prefer."
"Researchers in a mall choose shoppers to ask about the products they prefer."
a)
The researchers
b)
All shoppers in the mall
c)
The product preferences of all shoppers in the mall
d)
The product preferences of the shoppers who were surveyed
48.
Review: What would be the sample in this example?
"Researchers in a mall choose shoppers to ask about the products they prefer."
"Researchers in a mall choose shoppers to ask about the products they prefer."
a)
The researchers
b)
All shoppers in the mall
c)
The product preferences of all shoppers in the mall
d)
The product preferences of the shoppers who were surveyed
49.
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?
Which would be the best choice of sampling procedure for this study?
a)
A selection of shoppers from different states in the US.
b)
Every person in the United States.
c)
153 male and female employees of the beverage company.
d)
A selection of logo artists.
50.
Review: The last cell of the "cf" column in a frequency table always equals...
a)
the size of the data set
b)
the mean
c)
the median
d)
1
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