Question

What are the mean, median, and mode of the following data set?

3/4
2/5
1/10
3/4
1/4
a.
mean: 1/10, median: 1/10, mode: 3/4
b.
mean: 9/20, median: 1/10, mode: 3/4
c.
mean: 9/20, median: 2/5, mode: 3/4
d.
mean: 2/5, median: 4/9, mode: 3/4

Answer 1

Mean: (3/4 + 2/5 + 1/10 + 3/4 + 1/4)/5 = (15/20+8/20+2/20+15/20+5/20)/5 = (45/20)/5 = 9/20.
Ordered data: 1/10, 1/4, 2/5, 3/4, 3/4 → median = 2/5.
Mode = 3/4 (appears twice).

Answer: (c) mean 9/20, median 2/5, mode 3/4.