1. **State the problem:** We are given a data set: 3, 7, 7, 3, 2, 7, 7, 3, 2, 4, 6, 7, 6, 2, 2. We need to complete the frequency table for the intervals 0-1, 2-3, 4-5, and 6-7. 2. **Recall the frequency table concept:** A frequency table counts how many data points fall into each interval. 3. **Count the data points in each interval:** - Interval 0-1: Numbers between 0 and 1 inclusive. None in the data set. - Interval 2-3: Numbers 2 or 3. - Interval 4-5: Numbers 4 or 5. - Interval 6-7: Numbers 6 or 7. 4. **Count each interval:** - For 0-1: No numbers, so frequency = 0. - For 2-3: Count 2's and 3's. - 2 appears 4 times. - 3 appears 3 times. - Total frequency = 4 + 3 = 7. - For 4-5: Count 4's and 5's. - 4 appears 1 time. - 5 appears 0 times. - Total frequency = 1 + 0 = 1. - For 6-7: Count 6's and 7's. - 6 appears 2 times. - 7 appears 4 times. - Total frequency = 2 + 4 = 6. 5. **Fill in the tally marks:** - 0-1: No tally marks. - 2-3: Seven tally marks (|||| |||). - 4-5: One tally mark (|). - 6-7: Six tally marks (|||| ||). 6. **Final frequency table:** | Interval | Tally | Frequency | |----------|-----------|-----------| | 0 - 1 | | 0 | | 2 - 3 | |||| ||| | 7 | | 4 - 5 | | | 1 | | 6 - 7 | |||| || | 6 | This completes the frequency table for the given data set.