Frequency distribution and histograms

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Intros
Lessons
1. What is a frequency distribution? Why is it important?
Examples
Lessons
1. Constructing Frequency Distribution Table and Histograms
Listed below are the heights of a class of $7^{th}$ 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 $x$-axis and frequency on $y$-axis.
2. Interpreting Histograms
Answer the questions based on the histogram below.

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.

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