the stemplot displays 26 students scores on a 90 - point statistics test. the lowest possible passing grade…

the stemplot displays 26 students scores on a 90 - point statistics test. the lowest possible passing grade on the test was a 54 out of 90. what percentage of students passed this test? 23% 54% 77% 96% test scores 4|3 4|5 6 5|1 2 3 5|5 7 6|0 3 3 6|5 6 7 7 9 9 7|1 1 2 4 7|6 7 9 8|4 8|5 key: 6|8 = 68 points

the stemplot displays 26 students scores on a 90 - point statistics test. the lowest possible passing grade on the test was a 54 out of 90. what percentage of students passed this test? 23% 54% 77% 96% test scores 4|3 4|5 6 5|1 2 3 5|5 7 6|0 3 3 6|5 6 7 7 9 9 7|1 1 2 4 7|6 7 9 8|4 8|5 key: 6|8 = 68 points

Answer

Explanation:

Step1: Count the number of students who passed

Passing grade is 54. Count the number of scores ≥ 54. From the stemplot:

  • For stem 5: scores 55,57 (2 students)
  • For stem 6: 60,63,63,65,66,67,67,69,69 (9 students)
  • For stem 7:71,71,72,74,76,77,79 (7 students)
  • For stem 8:84,85 (2 students) Total number of passing students (n = 2 + 9+7 + 2=20)

Step2: Calculate the percentage

Total number of students (N = 26) Percentage formula (P=\frac{n}{N}\times100) Substitute (n = 20) and (N = 26) into the formula: (P=\frac{20}{26}\times100=\frac{2000}{26}\approx76.92%\approx77%)

Answer:

77%