1. **State the problem:** We have a set of test scores: 70, 55, 61, 80, 85, 72, 65, 40, 74, 68, and 84. We need to complete the frequency table for score intervals and then use it to construct a frequency histogram. 2. **Organize scores into intervals:** The intervals are 40-49, 50-59, 60-69, 70-79, and 80-89. 3. **Count frequencies:** - 40-49: Scores are 40 → frequency = 1 - 50-59: Scores are 55 → frequency = 1 - 60-69: Scores are 61, 65, 68 → frequency = 3 - 70-79: Scores are 70, 72, 74 → frequency = 3 - 80-89: Scores are 80, 84, 85 → frequency = 3 4. **Complete the table with tally marks and frequencies:** | Score | Tally | Frequency | |--------|---------|-----------| | 40-49 | | | 1 | | 50-59 | | | 1 | | 60-69 | ||| | 3 | | 70-79 | ||| | 3 | | 80-89 | ||| | 3 | 5. **Constructing the frequency histogram:** - The horizontal axis represents the score intervals. - The vertical axis represents frequency (number of scores). - For each interval, draw a bar up to the frequency count. - For example, the bar for 40-49 will be 1 unit high, for 60-69 will be 3 units high, etc. This completes the frequency table and provides the data needed to draw the histogram.