Jack tells Jill, "This isn't the $5 bill you left on the the
table. I found it between pages 15 and 16 of Harry
Potter."
Jill retorts, "You're lying and I can prove it." How did
Jill know?
Jack tells Jill, "This isn't the $5 bill you left on the
the table. I found it between pages 15 and 16 of
Harry Potter."
Jill retorts, "You're lying and I can prove it." How
did Jill know? Harry Potter, like all other books, has odd-
numbered pages on the right. Therefore,
pages 15 and 16 are the front and back of a
single page, and nothing could have been
found between them.
Organizing Data
Mean-Median-Mode
Qualitative vs Quantitative
Organizing Data by:
Using Line Plots
Describing Data (mean, median,mode,
and range)
Making Charts or Graphs(bar
graphs,circle graphs,pictographs,line
graphs)
Line Plots
Line plots are diagrams that organize
data on a number line
If your data is numerical, one way to
show it would be with a line plot
Here’s a way to make a line
plot.
Find the least and the greatest numbers in your set of data for your line plot.
Choose a sequence that will fit your data.( arrange the numbers by 2’s, 5’s etc.what ever works best for your data)
Put an x on the line plot to represent your data
Write a title for your line plot.
Mean, Median, and Mode
Averages
Mean, median and mode are three
kinds of averages.
They can be the same answer for a
particular data set or they can be
different.
When you read an article in a magazine
and it says “the average…”, it is helpful
to know what kind of average is being
talked about.
Mean:
Mean is the kind of average you have
used before.
1) Add the numbers. 3+ 3+
4+ 5+ 6 = 21
2) Divide by how many numbers were in
the list. There are 5 numbers in the list.
21 5 = 4.2
Median
If a list has an even number of
elements, the median is the mean of the
middle two numbers.
2,3,4,5,5,6
4 and 5 are in the middle and the
mean of those two numbers is 4.5
Median
Median: The number in the middle of
the list.
First, put the numbers in order.
3, 3, 4, 5, 6
The number in the middle is 4. 4 is the
median.
Example:
A family has children aged 3, 4, 5, 3, 6.
find the mean, median and mode.
Mode
Mode: the number that appears the
most often.
3 appears twice the other numbers only
once. 3 is the mode. A list can have
more than one mode or no mode at all.
Example with Algebra
Jack sent five packages last week with
a mean weight of 4.1 lbs.
The mode is 6lbs and the median is 3.5
lbs.
The second smallest package is one
pound more than the smallest.
Find the weight of the two smallest
packages.
Describing data
Mean
Median
Mode
Range
Mean/Average
To find the mean or average of a set of data you first :
Add the numbers
Count the number of data
Divide the total of the numbers by the number of data.
6,4,6,5,7,7,4,9=48
There are 8 sets of
data
Divide 48 by 8 = 6
To check, 8 x 6= 48
Median
The median number of a set of data is the number found in the middle.
Arrange your data in order from least to greatest to find the middle number. Sometimes you will have two middle numbers.
4
4
5
6
6
7
7
9
Mode
The mode of a set of data is the number
that occurs most often in the data.
You may have more than one mode.
4,6, and 7 are your modes in this set of
data.
Range
The range of a set of data is found by
subtracting the least number from the
greatest number.
9 – 4 = 5
In this set of data the range is from 4 to
9 with the exact range of 5.
Sample Data Table Title: The Effect of the independent variable on the
dependent variable
Column for independent
variable
Column for dependent variable
Column for derived quantity
Label – with units if
necessary
Label – with units if
necessary – multiple trials
included
Label – with units if
necessary. Example
= average of trials 1 2 3
Graphs Title: The Effect of the independent variable on the dependent
variable
Independent Variable – include
units and an appropriate scale
Dep
en
den
t Varia
ble
– in
clu
de u
nits a
nd
an
ap
pro
pria
te
scale
Making Charts and Graphs
0
10
20
30
40
50
60
70
80
90
1st
Qtr
3rd
Qtr
East
West
North
Bar graphs are
another way to show
data.
Double bar graphs
help you to compare
data.
Line graphs
Line graphs are
good for showing
changes in data
over time when
working with dates.
Double line graphs
can help you show
even more data and
compare data.
Circle graphs/Pie Charts
Circle or pie charts
are another way to
show data, and
compare data to
percentages or
fractions of a whole.
Pictographs
Pictographs are
often used to show
data in newspapers
and magazines
because they get
your attention.
Each picture
represents a specific
number of data.
Using Excel To Set Up Graphs
Using Excel To Set Up Graphs
Using Excel To Set Up Graphs
In conclusion
Organizing data makes it easier to read and understand.
Using graphs and charts helps to get the attention of your audience
Charts, line plots and graphs are ways to organize data so it is useful to you.
Comparing data is easier when it is clear and specific.
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