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Help with weighted mean (Introductory stats)

26 viewed last edited 1 year ago
Jada Hunt
1
> Beth is calculating her cumulative GPA. Her grades are as follows: * A (12 hours) * B (22 hours) * C (14 hours) * F (3 hours) > Note that an A = 4.0, B = 3.0, C i= 2.0, and F = 0. What is Beth's GPA? --- According to my textbook, the answer is 2.78. I'm just having a hard time understanding how to calculate a weighted mean with two sets of whole numbers.
Kate Hiester
1
I would start with figuring out what proportion of her overall GPA each letter grade composes So: 12+22+14+3 = 51 hours. A = 12 hours/51 total hours = 0.235 (or 23.5% of her overall GPA) B = 22 /51 = 0.431 (or 43.1%) C = 14/51 = 0.275 (or 27.5%) F = 3/51 = 0.059 (or 5.9%) Then I take the value of the letter grade and multiply it by the proportion and add them together to get the GPA: A: 4.0 * 0.235 = 0.94 B: 3.0 * 0.431 = 1.293 C: 2.0 * 0.275 = 0.55 D: 0.0 * 0.059 = 0 ------------------------- 2.783