Download 1-1 Displaying Data relationships with graphs

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LINE PLOTS
Line plots are simple graphs that help you
see the relationship between data items.
MEAN, MEDIAN, MODE
You can use a line plot or histogram to show the
frequency, or number of times, a data item
occurs. The data item with the greatest
frequency is the mode.
There are no spaces
between the bars in
a histogram
EXAMPLE
1)What is the mode of the data in the bar graph?
2)What age group had the fewest people sign up for
aerobics?
FORMULA TO FIND THE MEAN
Mean =
sum of the data items
total number of data items
Real world application…
Do you think that the ages of the Presidents have changed
a lot since the beginning of the United States in 1776?
One way is to compare the mean ages.
EXAMPLE
First Presidents Recent
Presidents
Washington - 57 Reagan - 69
J. Adams - 61
Bush – 64
Jefferson - 57
Clinton - 46
Madison – 57
G.W. Bush - 54
Monroe - 58
Obama - 47
1)Find the mean of both
groups of ages.
2)Has there been much
change in the mean
age of the
Presidents?
3)Would the mode be
as useful as the mean
in comparing the ages
of the first Presidents
to recent Presidents?
MEDIAN
The median is the middle value in an
ordered set of numbers.
Ex: Find the median of the following set of #s:
1, 5, 3, 10, 20, 1, 6, 12
EXAMPLE
Find the mean, median, and mode of the data below.
BAR GRAPH (USEFUL WHEN COMPARING AMOUNTS)
1)About how many
students enrolled in
Physics?
2)Which course had the
most students enroll?
3)What’s the difference
between the bar graph
and the histogram?
LINE GRAPHS (SEE HOW DATA CHANGES OVER TIME)
1. Describe the trend for high
temperature and low temperature
throughout the week.
2. Suppose you draw the graph without a
break in the vertical scale. How would
this affect the way the graph looks?
3. Would drawing the graph without a
break in the scale improve the graph?
Why or why not?
4. Did the temperature increase,
decrease, or stay the same from
Monday to Friday?
HOMEWORK - BIRTHDAY EXAMPLE
Jan
Feb
Mar
Apr
May
Jun
Jul
Aug
Sep
Oct
Find mean, median, mode, and graph using a histogram.
Nov
Dec