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Happy Friday Scientists!DQ:
Identify the IV, DV and constants in the following scenario: A study was done to find if fuel types affect the engine’s performance in a car.
Today:1. Review Density Lab2. What are the different types of data and which type of
graph should we use for each? (study guide)3. Data and Graph Types Practice4. Review IV/DV/Constants5. HW: 6. Return work and discuss grades L4
Variables and Constants
• Variable – Any factor that can change in a scientific investigation or experiment
Types of Variables
Independent• What the scientist chooses
or changes • Known before starting the
experiment.• The factor that is
intentionally changed by the investigator in an experiment
• There can be only one independent variable in an experiment
Dependent• The factor that you measure
or observe as data• The factor that will change
as a result of the independent variable
• This variable depends on the independent variable.
• There can be one or more dependent variables in an experiment
Constants
• Sometimes called controlled variables• The factors or conditions that are kept the
same (unchanged) in an experiment• There are many controlled variables in an
experiment.
Types of Data
1. Discrete data = consist of categories (days of the week, kind of animal, color)
2. Continuous data = consist of measurements involving a scale with equal measurements; a range of values (temperature, length of time in hours, height in centimeters)
Four major types of graphing
1. Pie chart/graph = consist of categories (display percentages)
2. Bar graph = used to represent discrete data; the IV is typically qualitative and DV is typically quantitative
Four major types of graphing
3. Line graph = used to represent continuous data, usually tracking changes over time; the IV and DV are both quantitative and the line connecting the points has meaning
4. Scatter plot = similar to a line graph, but the data points are NOT connected because a connecting line would have no meaning; a line of best fit might be constructed to show a trend in the data; IV and DV are typically both quantitative
Scatter plot
0 1 2 3 4 5 6 70
5
10
15
20
25Helicopter Drop Time Influenced by Pa-
perclips
# of Paperclips
Dro
p Ti
me
(s)
This is a line of best fit – it is a straight line that comes as close to possible as all the data points
The data points should NOT be directly connected because the IV is discrete
Bar Graph6th period student drink choices
0
5
10
15
20
25
pepsi coke rootbeer
dr.pepper
Drink Option
# o
f stu
den
ts
Series1
This is what we mean by discrete data – it’s a category and there’s no “middle value” between each category
Line Graph
Jill's Elevation Change While Hiking
015030045060075090010501200
0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5
Time (hours)
Ele
va
tio
n (
m)
Each value here has meaning (I could determine Jill’s elevation at 3.2 hours) so I connect my data points with a line
A few final thoughts
• Scientists must represent their data graphically in a fair way that tells the most accurate story
• It is possible to change the scale of a graph to make it look like the data tells a much different story than the numbers actually show
• Additional labels might also be used to make the reader infer certain things from the same set of data
For example…• At most, how different is the average rainfall
from this year’s rainfall?
This graph has been manipulated to make it look like there is a much bigger difference in rainfall than 0.4 cmBad scientist!
Another Example
Quarter, YearImage source: http://www.politicalmathblog.com/?p=401
Num
ber o
f job
s (t
hous
ands
)
U.S. Jobs by Quarter
What conclusions can you draw from this graph?
Here’s the same graph with a few extra labels…
Image source: http://www.politicalmathblog.com/?p=401
The data is the same but it could be used to create different inferences
Examples
• Question: Does changing the temperature of a ball affect the height the ball will bounce?
• What is the scientist changing? (independent variable)– The temperature of the ball
• What is the scientist measuring? (dependent variable)– Bounce height of the ball when
dropped
• What should be kept the same or constant for a fair test? (constants)– Same ball– Dropped from same height– Onto same surface.– Etc.