Question

use a stem-and-leaf plot to display the data, which represent the scores of a biology class on a midterm exam. describe any patterns. 75 85 90 80 87 68 82 88 95 91 72 80 83 92 94 68 75 91 98 87 76 91 85 69 determine the leaves in the stem-and-leaf plot below. key: 3|3 = 33 exam scores 6| 7| 8| 9|

Explanation:

Step1: Identify scores for stem 6

Scores with tens digit 6: 68, 68, 69. Leaves are 8, 8, 9 (sorted).

Step2: Identify scores for stem 7

Scores with tens digit 7: 75, 72, 75, 76. Leaves: 2, 5, 5, 6 (sorted).

Step3: Identify scores for stem 8

Scores with tens digit 8: 85, 80, 87, 82, 88, 83, 87, 85. Leaves: 0, 2, 3, 5, 5, 7, 7, 8 (sorted).

Step4: Identify scores for stem 9

Scores with tens digit 9: 90, 95, 91, 92, 94, 91, 98, 91. Leaves: 0, 1, 1, 1, 2, 4, 5, 8 (sorted).

Answer:

• Stem 6: Leaves 8, 8, 9
• Stem 7: Leaves 2, 5, 5, 6
• Stem 8: Leaves 0, 2, 3, 5, 5, 7, 7, 8
• Stem 9: Leaves 0, 1, 1, 1, 2, 4, 5, 8

(Pattern: Most scores are in the 80s and 90s, with multiple 91s and 85s/87s; lower scores (60s, 70s) are less frequent.)