5
QuizMultiple Choice

Variability

Question 5 • CARE_24_25_TX-Mathematical Models with Applications B

Determine the mean, median, mode, and midrange for this collection of class test scores:88 82 97 76 79 92 65 84 7990 75 82 78 77 93 88 95 7369 89 93 78 60 95 88 72 8094 88 74

Answer
A
Mean is 84, median is 82, mode is 82, midrange is 77
B
Mean is 82, median is 88, mode is 88, midrange is 77
C
Mean is 82.4, median is 88, mode is 82, midrange is 78.5
D
Mean is 82.4, median is 82, mode is 88, midrange is 78.5

Explanation

Treating the run-together scores as 79, 90; 73, 69; and 80, 94, there are 30 scores with a total of 2,473. The mean is 2,473 ÷ 30 ≈ 82.4, and the 15th and 16th scores in order are both 82, so the median is 82. The score 88 appears most often, making it the mode; the midrange is (60 + 97) ÷ 2 = 78.5. These results match choice D.

AI-written and checked against the verified answer.

Previous
Next