Assignment about Data Modeling

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MATH125: Unit 10 Submission Assignment Answer Form
Data Modeling
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Graphs and charts allow consumers of information to quickly read, interpret, and
analyze data through visual representations. In this assignment, you will interpret,
analyze, and create different types of graphs to accurately represent data.
1. Describe the purposes of three different types of data visualizations (graphs
and charts). Provide an example of a realistic data set that would be
displayed well with each type of graph or chart. (Do not include the graphs or
charts).
Purpose of Bar
Graphs
and Data Example
(5 points)
Bar chart is generally used to
compare datasets of several
groups at once. The category
of data is represented in one
axis and in other axis the
values of different groups is
presented. An example of a
company data which can be
appropriate to present in a bar
chart is given below.
Year Total
Sales
revenue
($)
Total
profit($)
2014 450000 250000
2015 558000 350000
2016 1200000 750000
2017 750000 500000

Purpose of Pie
Charts
and Data Example
(5 points)
Pie charts are used to
represent the proportion of
groups of a variable by
percentages inside
proportional area in a circle.
Pie charts are easy to interpret
which group has the highest
value or quantity or which
group has the lowest value by
the area. The following age
data can be represented by pie
chart.
Age group(in
years)
Frequency
18-24
11
25-31
14
32-38
8
39-45
5
Purpose of Line
Graphs
and Data Example
(5 points)
The line graph is mostly used
to display change of attribute
over time where the data
points are connected by line
segments. Line graph also
helps to determine the
relationship between the
variables in x axis and y axis.
The following data of a
company can be represented
by the line graph.
Year
Annual
sales(in USD)
1998
560000
2000
850000
2002
450000
2004
650000
2006
700000

2. The members of a family of four (two parents and two children) are trying to
be more conscious of their water usage. To find opportunities where they
might make the most impact, they researched the average household water
consumption for various uses. They already have a new house with efficient
appliances, which will decrease water usage for the dishwasher and clothes
washer. Help them determine where they can make the most impact with
their water usage.
Type of Use U.S. Average
Consumption of
Water
Parent
1
Daily
(Gallon
s)
Parent
2
Daily
(Gallon
s)
Child 1
Daily
(Gallon
s)
Child 2
Daily
(Gallon
s)
Daily
Total
(Gallon
s)
Weekly
Total
(Gallon
s)
Bath 36 gallons per bath 0 0 36 36 72 504
Shower 5 gallons per
minute 15 25 0 0 40 280
Teeth
Brushing
0.5 gallon per
minute 2 2 1 1 6 42
Handwashing 1 gallon per minute 4 7 4 5 20 140
Dish
Washer** 6 gallons per load 0 6 0 0 6 42
Clothes
Washer** 25 gallons per load 50 0 0 0 50 350
Toilet Flush 1.6 gallons per
flush 5 5 5 5 20 140
Drinking
Water 8 ounces per glass 1 1 0.5 0.5 3 21
Outdoor
Watering
2 gallons per
minute 40 0 0 0 40 280
Grand Total 117 46 46.5 47.5 257 1,799
**EnergyStar
a. Analyze the family’s water consumption based on the data that you
have collected.
What type of chart or graph would
you use to compare individual family
members’ daily water usage?
Why?
(5 points)
The type of chart or
graph which would be
appropriate to
represent consumption
of water of individual
family members’ daily
water usage is a bar
chart. This is because
the family members
have four groups which
are parent 1, parent 2,
child 1 and child 2,
usage of those
members can be