Question

the mean age of 18 students of a class is 14.5 years. two more students of age 15 and 16 years join the class. what is the new mean age​

Answer 1

Given:

The mean age of 18 students in a class is 14.5 years

Two more students of age 15 and 16 years join the class

To find:

The new mean age

Solution:

To solve the given problem we will use the following formula:

$\boxed{\bold{Average = \frac{Sum\:of\:observations}{No.\:of \:observations} }}$

We have,

The sum of ages of 18 students in a class = 18 × 14.5 = 261 years

Since it is given that 2 more students joined the class

∴ No. of students now become = 18 + 2 = 20

and

∴ The new sum of ages of 20 students = 261 + 15 + 16 = 292 years

Now, using the formula of average we will find the new mean age:

New Mean Age = $\frac{292}{20} = \bold{14.6\:years}$

Thus, the new mean age is 14.6 years.

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Answer 2

Step-by-step explanation:

the mean age of 18 students of a class is 14.5 years. two more students of age 15 and 16 years join the class. what is the new mean age