Grouped Data Practice
1. Let's start by defining grouped data and ungrouped data.
2. Ungrouped data refers to data collected in raw form without any categorization. For example, the ages of 5 people: 21, 23, 20, 22, 21.
3. Grouped data organizes raw data into groups or classes. For example, grouping ages into intervals: 20-21, 22-23, with frequencies of each group.
4. Practice question: Given the ungrouped data set of test scores: 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.
5. Task 1: Group the data into class intervals of 55-64, 65-74, 75-84, 85-94, and 95-104.
6. Task 2: Determine the frequency of each class interval.
7. Solution step for Task 1: The classes are 55-64, 65-74, 75-84, 85-94, 95-104 as given.
8. Solution step for Task 2: Count the number of data points in each interval:
- 55-64: 55, 60 (2 data points)
- 65-74: 65, 70 (2 data points)
- 75-84: 75, 80 (2 data points)
- 85-94: 85, 90 (2 data points)
- 95-104: 95, 100 (2 data points)
Thus, frequencies for each grouped interval are 2.