CH 2 Homework
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MATH 110+11 – Support Topics for Elementary Statistics
Professor DeWilde
Chapter 2 Homework
Exploring Data with Tables and Graphs
In this chapter, you will explore the many different tables and graphs that can be used to help organize and summarize data. Each one has its own advantages, and should be used for specific types of data. Be sure to read all instructions carefully before attempting each problem!
As you work through these problems, try to come up with a way to remember the small differences between graphs that look very similar. Use a method that works with your own personal learning style (flashcards, word associations, etc.)
Section 2.1 – Frequency Distributions for Organizing and Summarizing Data
Section 2.2 – Histograms
Section 2.3 – Graphs that Enlighten and Graphs that Deceive
Objectives Covered
CMO 3 – Interpret data displayed in tables and graphically.
Name:
Signature: Due
Date:
Ariel Alvarado
Ariel Alvarado
6 March 2022
MATH 110+11 – Support Topics for Elementary Statistics
Professor DeWilde
1.
The following dataset represents the weights of 39 randomly selected bags of oranges. You will be constructing a relative frequency histogram for the data, starting with a lower class limit of 5.00, and using a class width of 5. Take a look at your Section 2.2 notes for a refresher on how to construct a histogram.
Table 1-Weights of Oranges
Weights
17.34
16.13
10.26
15.62
15.91
22.08
21.81
31.07
15.96
24.30
10.16
21.25
22.32
28.30
26.31
24.42
12.96
10.35
30.71
9.18
23.90
17.51
16.93
24.48
21.76
11.07
21.66
23.08
14.70
15.08
27.53
21.63
15.41
20.86
17.19
17.76
9.83
33.67
28.28
a.
What does it mean to use a class width of 5?
-
It means to use the difference between consecutive lower-class limits. b.
Construct your frequency and relative frequency distributions for the data.
Table 2-Frequency Distributions
Class
Frequency
Relative Frequency
9-13
7
0.179
14-18
12
0.308
19-23
11
0.282
24-28
6
0.154
29-33
3
0.077
34-38
0
0
Total
39
1
c.
List all types of labels that should appear on your histogram, then construct and properly label your relative frequency histogram.
d.
What is the shape of your histogram?
-
The shape of my histogram is a skewed right.
0.308
0.282
0.179
0.154
0.077
14-18
19-23
24-28
29-33
9-13
Label vertical axis
Label horizontal axis
title
Bars Real scale
MATH 110+11 – Support Topics for Elementary Statistics
Professor DeWilde
e.
Which class(es) occurred most often?
-
Class 14-18 occurred most often.
f.
Which class(es) occurred least often?
-
Class 29-33 occurred least. g.
Explain why each of the following types of graph cannot be constructed for this dataset.
Dotplot: Dotplots cannot be used because there a lot more numbers that you need to work
with where the dots will be all over the place, making it confusing to understand. Time-Series Graph: Time-series graph cannot be used because we are not graphing data gathered over time.
Bar Graph: A bar graph cannot be used as we are not gathering information on categories of data.
Side-By-Side Bar Graph: A side-by-side bar graph cannot be used because our data is not
comparing two different types of data, where here we are only working with one. 2.
A team of linguistics professors conducted a study to determine the most popular languages to learn in the US. The results for a random sample of adults are displayed below.
“Which language would you like to study using Duolingo, a free language-learning platform:
Spanish, English, French, Japanese, or German?”
Table 3-Languages Chosen to Study
English
English
German
English
Spanish
German
Japanese
English
English
English
English
English
English
English
French
French
English
French
Japanese
English
Japanese
German
Japanese
English
French
English
German
Spanish
German
German
a.
A student was asked to construct a pie chart for the data, and submitted the graph shown below. Identify and explain the three specific things that the student did incorrectly on the pie chart.
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