To interpret the stem-and-leaf plot:
- The stem represents the tens place, while the leaves represent the units place of the scores.
From the plot:
- Stem 6: The scores are 61, 66.
- Stem 7: The scores are 70, 73, 73, 75, 76, 78, 79.
- Stem 8: The scores are 81, 81, 83, 84, 85, 85, 88, 88.
- Stem 9: The scores are 90, 92, 96, 97.
Now to answer the questions:
(a) What was the lowest score overall?
- The lowest score is represented by the smallest number in the plot, which is 61.
(b) How many students scored in the 70s?
- The scores in the 70s are: 70, 73, 73, 75, 76, 78, 79.
- Counting these gives us a total of 7 students.
(c) What was the highest score in the 80s?
- The highest score in the 80s is represented by the highest number for the stem of 8, which is 88.
So the answers are:
(a) 61
(b) 7
(c) 88