1. **Problem:** Given quiz scores grouped into intervals, answer the following: a) What is the size of the intervals? b) What is the greatest score interval? How many scored in this interval? c) Which interval has more scores than any other? How many scored in this interval? 2. **Step 1: Understanding intervals** The intervals given are quiz score ranges such as 8-10, 10-12, 12-14, etc. The size of an interval is the difference between the upper and lower bounds. 3. **Step 2: Calculate the size of the intervals** For example, the interval 8-10 has size: $$10 - 8 = 2$$ Similarly, all intervals are of size 2. 4. **Step 3: Identify the greatest score interval** From the histogram description, the frequencies for intervals are approximately: - 8-10: 2 - 10-12: 3 - 12-14: 1 - 14-16: 6 - 16-18: 7 - 18-20: 5 - 20-22: 3 - 22-24: 1 - 24-26: 2 The greatest score interval is the one with the highest upper bound, which is 24-26. Number of scores in this interval: 2. 5. **Step 4: Find the interval with the most scores** From the frequencies, the interval with the highest frequency is 16-18 with 7 scores. 6. **Final answers:** - a) The size of the intervals is $2$. - b) The greatest score interval is $24-26$ with $2$ scores. - c) The interval with the most scores is $16-18$ with $7$ scores.