Organizing Data
- A frequency distribution is a way to organize data to make it easier to comprehend.
- To construct a frequency distribution
- Create a number of equal sized non-overlapping classes
- Each piece of data should fall within exactly one class.
- Do problem 10, page 848
- We can group data into larger classes.
- The class width is the number of index values that belong to the class.
- The lower class limits are the starting numbers for each class.
- The upper class limits are the ending numbers for each class.
- The modal class is the class with the greatest frequency.
- The midpoint of a class or class mark is found averaging the lower and upper class limits.
- Do Exercise 12, page 848
- The class width is 9 (80, 81, 82, ... 88)
- The lower class limits are 80, 80+9, 80+2*9, ... (until 135 is covered)
- The upper class limits are 88, 88+9, 88+2*9, ...
- The classes are 80 to 88, 89 to 97, 98 to 106, 107 to 115, 116 to 124, 125 to 133, 134 to 143
Presenting Data
- Circle graphs or pie charts.
- Histograms and frequency polygons
- Use class mark to label the axis
- Stem and leaf displays.
- Problem 12 page 56
- Problem 16
- Problem 24
Homework
- Page 848 7, 9, 11, 15
- Page 856, 9 to 27 odd.