Arizona College Bar Graphs Circle Graphs and Time Series Graphs Worksheet

Chapter 2: Organizing DataSection 2 Worksheet: Bar Graphs, Circle Graphs, and Time-Series Graphs
Probability and Statistics
Names:
Date
Objective:
 Construct Pareto charts, circle graphs, and time-series graphs.
This worksheet will walk you through the steps to create a Pareto chart, a circle graph, and time-series
graph, like the examples below from your Introductory Statistics textbook.
A. Instructions: Create a Pareto chart for the data in Exercise 8(a) in your Introductory Statistics
textbook, which is reproduced here:
Note: In a Pareto chart, the bars can also be arranged from top to bottom.
Chapter 2: Organizing Data
Section 2 Worksheet: Bar Graphs, Circle Graphs, and Time-Series Graphs
Step 1: Order the data in Exercise 8(a) from greatest to least.
Step 2: Label the horizontal and vertical axes and mark the frequency axis in equally-spaced intervals.
STEP 3: Draw and color in equally-spaced bars of equal width that extend vertically to each value in the
data set. Then write the frequency for each category above each bar. Finally, label the chart with an
informative, appropriate title.
Using the information found in Exercise 8(a), draw, color in, and label the bars for your Pareto chart
and label it with an appropriate title.
Chapter 2: Organizing Data
Section 2 Worksheet: Bar Graphs, Circle Graphs, and Time-Series Graphs
B. Instructions: Create a circle graph for the data in Exercise 8(b) in your Introductory Statistics
textbook, which is reproduced here:
Step 1: Calculate the total frequency, the percentages (the relative frequency), and the degree measure
for each sector (piece) of the circle.
Example:
372/3042
=
12.2%
12.2% x 360° ≈ 44°
3042
Divide each category
frequency by the total to get
the fractional part. Then write
each result as a percentage.
Add the column entries
to find the total.
Multiply each percentage by
360° to calculate the degree
measure for each sector.
Calculate the total frequency, the percentages, and the degree measure for each sector (piece) of the
circle Exercise 8(b) in your Introductory Statistics textbook. Then complete the table below you’re
your calculations. (Note: You will use this data for all steps in this procedure.)
Bronze Age Spearheads from Ancient Rivers in Ireland
River
Number
Fractional Part
Percentage
Number of Degrees
Bann
/
dec × 360° ≈
Blackwater
/
dec × 360° ≈
Erne
/
dec × 360° ≈
Shannon
/
dec × 360° ≈
Barrow
/
dec × 360° ≈
Total
Chapter 2: Organizing Data
Section 2 Worksheet: Bar Graphs, Circle Graphs, and Time-Series Graphs
Step 2: Draw a circle and divide it into sectors with the degree measures you calculated in Step 1.
STEP 3: Label each sector, showing the percentage corresponding to each piece. Label the graph with an
informative, appropriate title.
Example:
title
Label the sectors
with category titles
and percentages
Include leader lines
if your labels are
not inside the
sectors
Erase angle and
degree labels.
Label each sector of your circle graph for Exercise 8(b), showing the percentage corresponding to each
piece. Label the graph with an informative, appropriate title.
Chapter 2: Organizing Data
Section 2 Worksheet: Bar Graphs, Circle Graphs, and Time-Series Graphs
C. Instructions: Create a time-series graph for the data in Exercise 14 in your Introductory Statistics
textbook, which is reproduced here:
Step 1: Draw and label the horizontal and vertical axes. Mark the axes in equally-spaced intervals and list
the time periods in order on the horizontal axis. Label the graph with a title.
This step ensures that the data display is accurately displayed and not distorted.
Using the data in Exercise 14 in your Introductory Statistics textbook, draw and label the horizontal
and vertical axes. Mark the axes in equally-spaced intervals and list the time periods in order on the
horizontal axis. Label the graph with a title.
Step 2: Plot the data points on the graph.
Step 3: Connect the data points on the graph.
Example:
Connect the points.
Use this example as a guide to draw the time-series graph for Exercise 14.
Chapter 2: Organizing Data
Section 2 Worksheet: Bar Graphs, Circle Graphs, and Time-Series Graphs
CHECK: Do your three graphs have appropriate titles and labels?
Use the internet to identify a good set of data to display:
A Pareto chart:
A Circle graph (Pie chart):
A Time-Series graph: