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Graphing Activity Spring 2009

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Graphing Activity Spring 2009 Powered By Docstoc
					Tech Math II
Data and Statistics Unit

Visualize Data with Graphing

           Circle Graphs

           Line Graphs

           Scatter Plots
           (Creating a Secondary Axis)

           Histograms
Paycheck Analysis

Problem #1

Gross Salary
                                  Percent   Pie Slice (deg.)
Federal Income Tax   $   187.50
Social Securtiy      $    60.00
Health Insurance     $    35.00
Retirement Fund      $   112.50
Take Home Pay        $   355.00
Problem #2

Sources of Funding for Minnesota DNR 2002-2003
                                                           Percent       Pie Slice (deg.)
State Taxes                            $   266,000,000
Sports and Recreation User Fees        $   193,100,000
Federal Funds                          $    25,200,000
Business and Commerce                  $    10,000,000
All other Sources                      $    26,500,000

Total Funding


http://www.dnr.state.mn.us/aboutdnr/budget/whopays/fundingsources.html
Line Graphs
Line graphs are good for showing how something (such as stock prices, temperature, etc) change
with the passage of time.

Lines graphs typically use the horizontal axis for TIME and the vertical axis for the actual data.
You may have more than one series of data portrayed on a single graph, but too many may make it hard to read.



                      This example shows the EPA city
                      mileage testing routine for automobiles.
Day   Max   Min   STATION: LA CROSSE WI
 1    18     4    MONTH: MARCH
 2    25    -1    YEAR: 2009
 3    28     8    LATITUDE: 43 52 N
 4    45    26    LONGITUDE: 91 15 W
 5    55    33
 6    48    31    Problem #1
 7    42    27    Directions: Create a 2-series line graph portraying this temperature data.
 8    34    23    Graph must have a title, legend, and both vertical and horizontal axes.
 9    40    20
10    39    11
11    19     4
12    24     2
13    41    17
14    51    27
15    60    25
16    65    32
17    67    38
18    56    29
19    41    23
20    44    22
21    64    39
22    62    32
23    53    45
24    59    40
25    40    31
26    46    26
27    38    22
28    39    20
29    46    24
30    52    24
31    56    35
Convert text to data.   Problem:
                        Below is a screen shot of a table of weather data. Suppose you want to work with this data in Excel.
                        If you copied the data from the website, and pasted into Excel, you would find you cannot "use" the
DY MAX MIN              information because the individual pieces of data are entered as strings of text.
1 18 4
 2 25 -1                It is possible for Excel to convert the text into table format. Your instructor will guide you through this brief activtity
 3 28 8                 using the sample text shown to the left.
 4 45 26
 5 55 33
 6 48 31
 7 42 27
 8 34 23
 9 40 20
10 39 11
Graphing Paired Data

The scatterplot graph option is used to graph paired data.

Paired data can be written in ordered pair format: (x, y)

The first number in an ordered pair is the ____________ variable and it is always portrayed on the horizontal/vertical axis.
The second number in an ordered pair is the ____________ variable and it is always portrayed on the horizontal/vertical axis.



In the example below, there are two sets of paired data.                                                                                                             Note how a
                                                                                                                                                                     secondary vertical
One set is (________, ________)                                                                                                                                      axis is added on
the other set is                                                                                                                                                     the right side.
(_______,_______)
                                                                                      Horsepower and Torque Curve
Dynomometer Results for a Honda Engine                                                      for Honda Engine
  Rpm        HP       Torque                                                180                                             140
  3500      66.6        100
                                                                            160                                             120
                                                 Computed Horsepower (hp)




  4000      79.2        104




                                                                                                                                  Measured Torque (lb-ft)
                                                                            140
  4500      94.2        110                                                                                                 100
  5000     104.7        110                                                 120
  5500     104.7        100                                                 100                                             80
  6000     125.6        110                                                  80                                             60                              HP
  6500     148.5        120                                                  60                                                                             Torque
                                                                                                                            40
  7000     157.2        118                                                  40
  7500     162.7        114                                                                                                 20
                                                                             20
  8000      168         110
                                                                              0                                              0
  8500     153.8         95
                                                                               3500   4500    5500      6500      7500   8500
                                                                                             Engine Speed (rpm)
Graphing Paired Data

Directions: Use the given data to create a line graph (actually a scatterplot).
Graph must have a title, legend, a secondary axis for the torque data, and appropriate labels for all three axes.
You must also revise the axes to eliminate unused regions in the graph.

  Rpm          HP        Torque
  4000          82          107.6
  4500          90           105
  5000          99           104
  5500         111           106
  6000         123          107.6
  6500         132          106.6
  7000         138          103.5
  7500         142           99.4
  8000         138           90.5
Introduction to Frequency Tables and Histograms

Note the raw data below. We will take this information and shape it so that the information given is more useful.

Data: Ages of Oscar Winners for Best Actor at the time they won the award:
        29         30          30         31          32         32          32
        34         34          34         35          35         35          36
        36         36          37         37          37         37          37
        38         38          38         38          38         39          39
        39         40          40         40          41         41          41
        41         42          42         42          42         42          42
        43         43          43         43          43         43          44
        45         45          45         45          46         47          47
        47         47          48         48          48         49          49
        49         49          51         51          52         52          53
        53         54          56         57          57         60          60
        62         62          62         76

A frequency table is a tool used to convert raw data into a more meaningful form.
                                                                                                                                * optional
Classes (groups) are created to organize the data.                                                      Class      Frequency      Relative Frequency
Then either manually or by computer, we check each number and assign it to a class.                     25-29          1
The quantity of data values that land in a given class are reported as Frequency .                      30-34          9
                                                                                                      Delete or slide
                                                                                                        35-39          19
A histogram is a picture of the frequency table.                                                     this rectangle to
                                                                                                        40-44          20
It is essentially a vertical bar graph.                                                                   the
                                                                                                        45-49 right.   16
The horizontal axis shows the classes, while the bars represent the frequency.                          50-54          7
                                                                                                        55-59          3
                                                                                                     When removed, you will
It must be drawn so that there are no gaps between the vertical bars.                                   60-64          5
                                                                                                       be able to view the
                                                                                                     Frequency Table for this
                                                                                                        65-69          0
                                                                                                        70-74 data. 0
In the space shown below , follow your instructors instructions to make a histogram                     75-79          1
of the frequency table.
* optional
  Cumulative Frequency
Create a Histogram

Fifty light bulbs were tested for the number of hours they would give light. The data is contained in the table below.

Directions: Use the resulting frequency table of the data to create a histogram. The finished product must have a title,
appropriate axes labels, and a "0" gap between the vertical bars.

           Table of Light Bulb Data in Hours (x10)
                  372         297         320         344         336        396         337         361        204        310
                  258         384         316         351         305        313         230         376        273        374
                  205         375         335         349         382        389         260         300        314        325
                  326         338         291         358         399        331         397         362        231        313
                  362         294         345         360         395        223         328         359        212        225


            Classes Frequency
            200-229     8
            230-259     2
            260-289     10
            290-319     12
            320-349     11
            350-379     7
            380-409     0
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