Question

if the average of three natural number is
560 and 85 is replaced instead of 36, then
what is the new average ?
​

Answer 1

Answer:

The new average is 543.66

Step-by-step explanation:

We know that,

Average = (Sum of observations)/(No. of observations)

Now, we are given,

Average = 560

Let the natural numbers be x, y and z

So,

(x + y + z)/3 = 560

then,

x + y + z = 560 × 3

x + y + z = 1680

Now,

We are given,

One of the numbers was 85, and it is replaced by 36.

Let x = 85

Then,

85 + y + z = 1680

y + z = 1680 - 85

y + z = 1595 ------ 1

Now,

85 is replaced by 36,

So now, x = 36

Let the new average be A'.

Then,

Average = (x + y + z)/3

A' = (36 + y + z)/3

A' = (36 + (y + z))/3

From eq.1 we get,

A' = (36 + (1595))/3

A' = (36 + 1595)/3

A' = (1631)/3

A' = 543.66

Hence,

The new average is 543.66

Hope it helped and believing you understood it........All the best