17, 10, 12, 11, 10, 15, 14, 11, 12, 13
By arranging the given data in ascending order we will get,
10, 10, 11, 11, 12, 12, 13, 14, 15, 17
Values (x) | Frequency (f) | Cumulative frequency | fx |
10 | 2 | 2 | 20 |
11 | 2 | 4 | 22 |
12 | 2 | 6 | 24 |
13 | 1 | 7 | 13 |
14 | 1 | 8 | 14 |
15 | 1 | 9 | 15 |
17 | 1 | 10 | 17 |
N = 10 | ∑fx = 125 |
We have;
N = 10 (even number)
Median =
Now,
∑fx = 125 and ∑f = N = 10
Mean =
Hence,
Mode = 3(median) – 2 (mean)
= 3×12 - 2×12.5
= 36 – 25
= 11