histograms and line graphs. histogram a type of bar graph separates information into categories the...
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Histograms and Line Graphs
HistogramA type of bar graphSeparates information into categories
The bars are connected*Uses intervalsYou need a frequency table to make a histogram
Steps to Take:First, put the data in order from
least to greatest.Second, determine the interval
you need to use.Third, make a frequency table to
organize your information.Fourth, make your histogram.
Example:40,13, 35, 27, 41, 34, 21, 37, 40, 12, 33Step 1:
◦ 12,13, 21, 27, 33, 34, 35, 37, 40, 40, 41Step 2:
◦ Use intervals of 10Step 3:
◦ Interval Frequency0-9 010-19 220-29 230-39 440-49 3
Example 1 (continued)
0 10 20 30 40
INTERVAL
FRE
QU
EN
CY
1
2
3
0
4
50
Problems:Make a histogram with the
following data: 13, 24, 12, 6, 9, 30, 37, 34, 16, 13, 4, 8, 0, 20
Make a histogram with the following data: 106, 110, 90, 83, 79, 99, 110, 107, 105, 103, 124, 148
Line GraphGraph with a line*Shows change over time
Points are placed on a graph and connected by (straight) line segments
Steps to Take:First, organize the data into a
chart.Second, place the change on the
vertical axis and the time on the horizontal axis.
Third, determine an appropriate interval for both.
Fourth, plot your points.Fifth, connect each point to the
next with a line segment.
Example:A child recorded his height since 2007. In 2007,
he was 50 inches tall. In 2008, he was 54 inches tall. In 2009, he was 56 inches tall. In 2010, he was 60 inches tall. In 2011, he grew to 65 inches tall. In 2012, he was 68 inches tall.
Step 1◦ Year Height
200750200854200956201060201165201268
Example:Step 2: Years will go on bottom
and height will go on the left.Step 3: Years will go up by 1.
Height will go up by 10.
Example:Steps 4 and 5
Year
2007 2008 2009 2010 2011 2012
Heig
ht
(in inch
es)
0
10
20
30
40
50
60
70
ProblemsMake a line graph with the
following data: In 1990, there were 40 animals at the zoo. In 1995, they had 56 animals. In 2000, the number had dropped to 23 due to a hurricane the previous year. In 2005, a new shipment of koalas boosted the number to 43. In 2010, the number of animals was all the way up to 62.
ProblemsMr. Plyler has taught several different
class sizes over the past eight years. In 2005, he had 32 students. The next year he had 30. The following year he had 28. When he moved to Humboldt in 2008, he had 25. In 2009, he had 22. In 2010, his class size dropped to 18. However, in 2011, due to a budget cut, his class sizes rose to 23. Then he moved to Medina in 2012 and has a class size of 28. Make a line graph with this information.