Making Science Graphs and Interpreting Data

 
The Independent Variable Time is located on the X axis. The Dependent Variable Distance is located on the Y axis
Scientific Graphs:

Most scientific graphs are made as line graphs. There may be times when other types would be appropriate, but they are rare.

The lines on scientific graphs are usually drawn either straight or curved. These "smoothed" lines do not have to touch all the data points, but they should at least get close to most of them. They are called best-fit lines.

In general, scientific graphs are not drawn in connect-the-dot fashon.


Here are two examples of best-fit graph lines.
One is drawn correctly, the other is not.
Best-Fit Line #1 Best-Fit Line #2
Data points on this graph should be represented with a curved line. Data points on this graph are correctly represented with a straight line.

Graphs are made using:

Graphing problems:


 

Practice Interpreting Data:

In addition to drawing graphs, it is also important that you be able to intrepret data that is represented in graph form. The following examples are provided to help you develop the ability to read information shown on a graph.
 
  1. Identify the graph that matches each of the following stories:

    1. I had just left home when I realized I had forgotten my books so I went back to pick them up.
    2. Things went fine until I had a flat tire.
    3. I started out calmly, but sped up when I realized I was going to be late.

     

  2. The graph at the right represents the typical day of a teenager. Answer these questions:

    1. What percent of the day is spent watching TV?
    2. How many hours are spent sleeping?
    3. What activity takes up the least amount of time?
    4. What activity takes up a quarter of the day?
    5. What two activities take up 50% of the day?
    6. What two activities take up 25% of the day?

     

  3. Answer these questions about the graph at the right:

    1. How many sets of data are represented?
    2. On approximately what calendar date does the graph begin?
    3. In what month does the graph reach its highest point?

     

  4. Answer these questions about the graph on the right:

    1. How many total miles did the car travel?
    2. What was the average speed of the car for the trip?
    3. Describe the motion of the car between hours 5 and 12?
    4. What direction is represented by line CD?
    5. How many miles were traveled in the first two hours of the trip?
    6. Which line represents the fastest speed?

     

  5. Answer these questions about the graph at the right:

    1. What is the dependent variable on this graph?
    2. Does the price per bushel always increase with demand?
    3. What is the demand when the price is 5$ per bushel?

     

  6. The bar graph at right represents the declared majors of freshman enrolling at a university. Answer the following questions:

    1. What is the total freshman enrollment of the college?
    2. What percent of the students are majoring in physics?
    3. How many students are majoring in economics?
    4. How many more students major in poly sci than in psych?

     

  7. This graph represents the number of A's earned in a particular college algebra class. Answer the following questions:

    1. How many A's were earned during the fall and spring of 1990?
    2. How many more A's were earned in the fall of 1991 than in the spring of 1991?
    3. In which year were the most A's earned?
    4. In which semester were the most A's earned?
    5. In which semester and year were the fewest A's earned?

     

  8. Answer these questions about the graph at the right:

    1. How much rain fell in Mar of 1989?
    2. How much more rain fell in Feb of 1990 than in Feb of 1989?
    3. Which year had the most rainfall?
    4. What is the wettest month on the graph?

 

9. Answer these questions about the data table:

  1. What is the independent variable on this table?
  2. What is the dependent variable on this table?
  3. How many elements are represented on the table?
  4. Which element has the highest ionization energy?
  5. Describe the shape of the line graph that this data would produce?
Atomic NumberIonization Energy
(volts)
224.46
49.28
611.22
813.55
1021.47

 

10. Answer the following using the data table:

  1. How many planets are represented?
  2. How many moons are represented?
  3. Which moon has the largest mass?
  4. Which planet has a radius closest to that of Earth?
  5. How many moons are larger than the planet Pluto?
  6. Which of Jupiter's moons orbits closest to the planet?
  7. Which planet is closest to Earth?
Solar System Data Table

                   Distance   Radius    Mass

 Name       Orbits (000 km)    (km)     (kg)

---------  ------- --------  -------  -------

Sun                           697000  1.99 x 1030

Jupiter    Sun       778000    71492  1.90 x 1027

Saturn     Sun      1429000    60268  5.69 x 1026

Uranus     Sun      2870990    25559  8.69 x 1025

Neptune    Sun      4504300    24764  1.02 x 1026

Earth      Sun       149600     6378  5.98 x 1024

Venus      Sun       108200     6052  4.87 x 1024

Mars       Sun       227940     3398  6.42 x 1023

Ganymede   Jupiter     1070     2631  1.48 x 1023

Titan      Saturn      1222     2575  1.35 x 1023

Mercury    Sun        57910     2439  3.30 x 1023

Callisto   Jupiter     1883     2400  1.08 x 1023

Io         Jupiter      422     1815  8.93 x 1022

Moon       Earth        384     1738  7.35 x 1022

Europa     Jupiter      671     1569  4.80 x 1022

Triton     Neptune      355     1353  2.14 x 1022

Pluto      Sun      5913520     1160  1.32 x 1022

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