The stem-and-leaf plot below gives the test scores for the 14 students in Mr. Uzun's English class. Use the plot to answer the questions that follow.

Test score
5 8
6
469
7 011599
8 48
9 01
Key: 5|8 means a score of 58.
(a) What was the highest score in the 80s?
(b) What was the lowest score overall?
(c) How many students scored in the 60s?

3 answers

To analyze the stem-and-leaf plot:

  • The stems represent the tens place, while the leaves represent the ones place of the scores.

From the given information, the scores can be extracted as follows:

  • 5 | 8 = 58
  • 6 | 4 = 64
  • 6 | 9 = 69
  • 7 | 0 = 70
  • 7 | 1 = 71
  • 7 | 5 = 75
  • 7 | 9 = 79
  • 8 | 4 = 84
  • 8 | 8 = 88
  • 9 | 0 = 90
  • 9 | 1 = 91

Now we can answer the questions:

(a) The highest score in the 80s is 88.

(b) The lowest score overall is 58.

(c) To find how many students scored in the 60s, we see the scores 64 and 69. Therefore, 2 students scored in the 60s.

C is incorrect

Let's take a closer look at the scores in the 60s based on the stem-and-leaf plot:

From the previous breakdown, the scores we identified were:

  • 6 | 4 = 64
  • 6 | 9 = 69

In the stem-and-leaf plot, the only scores in the 60s are:

  • 64
  • 69

This indicates that there are 2 students who scored in the 60s.

If you believe the count is incorrect, let's examine how the numbers might have been counted. Based on the list:

  1. 64
  2. 69

These are the only scores listed, confirming that 2 students scored in the 60s in this case. If you have a different interpretation or clarification on the stem-and-leaf structure, please let me know!