# Unit%202:%20Analyzing%20Univariate%20Data%20Text:%20Chapter%201%20Exploring%20Data%20AP%20Stats%20Theme%20I:%20A%20/%20B - PowerPoint PPT Presentation

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## Unit%202:%20Analyzing%20Univariate%20Data%20Text:%20Chapter%201%20Exploring%20Data%20AP%20Stats%20Theme%20I:%20A%20/%20B

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### Unit 2: Analyzing Univariate Data Text: Chapter 1 Exploring Data AP Stats Theme I: A / B Displaying quantitative variables: histograms; constructing and interpreting ... – PowerPoint PPT presentation

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Title: Unit%202:%20Analyzing%20Univariate%20Data%20Text:%20Chapter%201%20Exploring%20Data%20AP%20Stats%20Theme%20I:%20A%20/%20B

1
Unit 2 Analyzing Univariate Data Text Chapter 1
Exploring Data AP Stats Theme I A / B
• Displaying quantitative variables histograms
constructing and interpreting histograms vs. bar
graphs
• Skill Histograms on the calculator

2
Vocabulary
• Modes is the amount of major peaks a distribution
have.
• Unimodal is a distribution with one major peak.
• Bimodal is a distribution with two major peaks.

3
Histogram
• Like a bar chart, a histogram is made up of
columns plotted on a graph. Usually, there is no
space between adjacent columns. Here is how to
• The columns are positioned over a label that
represents a quantitative variable.
• The column label can be a single value or a range
of values.
• The height of the column indicates the size of
the group defined by the column label.

4
Histogram example Unimodal
5
Histogram example Bimodal
6
Histogram example bimodal symmetric distribution
7
Histogram example Symmetric
8
Histogram example Skewed right
9
Histogram example Skewed left
10
Bar Charts versus Histograms
• Bar Charts
• Histograms
• each column represents a group defined by a
categorical variable
• With bar charts, the X axis does not have a low
end or a high end because the labels on the X
axis are categorical - not quantitative. As a
result, it is less appropriate to comment on the
skewness of a bar chart.
• each column represents a group defined by a
quantitative variable
• it is always appropriate to talk about the
skewness of a histogram that is, the tendency of
the observations to fall more on the low end or
the high end of the X axis

11
Examining a distribution
12
Histograms on the calculator video
• http//www.wonderhowto.com/how-to-create-histogram
s-with-ti-83-graphing-calculator-244038/view/

13
Histograms on the calculator written instruction
• Push Stat then Edit to bring up the L1 (list
1) field. The first step in creating a histogram,
or any other data plot, is inputting the data.
Youll do that in L1. For this example, enter the
numbers 21, 35, 36, 38, 40, 40, 41, 42, 45, 46,
46, 48, 49, 50, 46, 48, 49, 50, 55 and 56,
pressing Enter between each entry.
screen.
• Enter 2nd and 1 to display L1 on the screen
and hit Enter.
• Choose Stat Plot, then choose any one of the
four available graphs by clicking the number. For
this example, select 1.
• Scroll the cursor to On and click Enter.
• Scroll through the different types of graphs and
select the histogram by highlighting it and
clicking Enter.
• Input the list in which you stored the data for
XList. In this example, that is L1. Leave Freq
set at 1.
• Hit Graph to get the histogram. If you cannot
see the graph, adjust the view by clicking
Zoom, then highlight 9ZoomStat and hit