Frequency distribution and histograms

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Intros
Lessons
  1. What is a frequency distribution? Why is it important?
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Examples
Lessons
  1. Constructing Frequency Distribution Table and Histograms
    Listed below are the heights of a class of 7th7^{th} graders:

    119

    116

    120

    134

    119

    117

    115

    122

    125

    124

    128

    122

    135

    126

    135

    120

    112

    119

    115

    124

    120

    117

    123

    140

    125

    130

    113

    128

    125

    115

    131

    122

    120

    138

    116



    1. Construct a frequency distribution table based on the data set above with the following information:
      1) class (set class width as 4 and lower limits of the classes as multiples of 4)
      2) frequency
      3) relative frequency
      4) cumulative frequency
    2. From the frequency distribution table in the previous part, construct a histogram. Use class midpoints on xx-axis and frequency on yy-axis.
  2. Interpreting Histograms
    Answer the questions based on the histogram below.

    Word problem on frequency distribution and histograms

    1. How many days had more than 35.5 mm of rainfall?
    2. How many more days had 11.5 to 17.5 mm of rainfall than between 35.5 to 47.5 mm of rainfall?
    3. What is the relative frequency of having 17.5 to 23.5 mm of rainfall?
  3. The histogram below shows the average daily cholesterol intake of 40 people.

    Frequency distribution and interpreting histograms

    1. What will change in the histogram if class midpoints are used on xx-axis?
    2. What will change in the histogram if relative frequency is used on yy-axis?
    3. What will change in the histogram if cumulative frequency is used on yy-axis?
    4. What kind of interpretations can be made from the cumulative frequency histogram?