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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
    read a histogram.
  • 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.
  • Click 2nd then Quit to return to the home
    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
    enter. Your histogram will appear.

14
Assignment
  • TPS 1.7, 1.8, 1.11, 1.12, 1.26
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