Question

The ages in years of 10 teachers of a school are:
34, 43, 31, 56, 37, 28, 25, 35, 40, 42

(i) What is the range of the ages of the teachers?

(ii) What is the mean age of these teachers? [3 MARKS]

Answer 1

Formulas: 1 Mark
Each part: 1 Mark

(i) Arranging the ages in ascending order, we get:

25, 28, 30, 34, 35, 37, 40, 42, 43, 56

We find that the age of the oldest teacher is 56 years and the age of the youngest teacher is 25 years.

Range of the ages of the teachers = (56 - 25) years = 31 years

(ii) Mean age of the teachers:

$=\frac{25+28+30+34+35+37+40+42+43+56}{10}years$

$=\frac{370}{10}years=37years$