The ages of the employees of a company are given below:
Age (in years) | 19 | 21 | 23 | 25 | 27 | 29 | 31 |
Number of persons | 13 | 15 | 16 | 18 | 16 | 15 | 13 |
Find the mean, median and mode for the above data.
Draw the tables as given below,
Age in years (x) | No. of person (f) | Cumulative frequency | Fx |
19 | 13 | 13 | 247 |
21 | 15 | 28 | 315 |
23 | 16 | 44 | 368 |
25 | 18 | 62 | 450 |
27 | 16 | 78 | 432 |
29 | 15 | 93 | 435 |
31 | 13 | 106 | 403 |
N = 106 | ∑fx = 2650 |
We have;
N = 106 (even number)
Median =
Now,
∑fx = 2650 and ∑f = N = 106
Mean =
Hence,
Mode = 3(median) – 2 (mean)
= 3×25 - 2×25
= 75 - 50
= 25