The following data give the number of boys of a particular age in a class of 40 students.
Age (in years) | 15 | 16 | 17 | 18 | 19 | 20 |
Frequency (f1) | 3 | 8 | 9 | 11 | 6 | 3 |
Calculate the mean age of the students.
Let’s draw the table and calculate the relative value of variables∑xi×fi
Age (in years) (xi) | Frequency (fi) | (xi×fi) |
15 | 3 | 45 |
16 | 8 | 128 |
17 | 9 | 153 |
18 | 11 | 198 |
19 | 6 | 114 |
20 | 3 | 60 |
∑fi = 40 | ∑xi×fi = 698 |
By putting the formula of mean we get;
Mean =
= 17.45 years
So the mean age of the students will be 17.45years.