Question

The mean of five numbers is 80, out of which, mean of 4 numbers is 46 then find the 5th number.​

Answer 1

Answer:

216 is the answer

Step-by-step explanation:

Given ,

Mean of 5 numbers = 80 .

Now ,

Sum of 5 numbers = 80 * 5 = 400 .

Also ,

Mean of 4 numbers = 46

Sum of 4 numbers = 46 * 4 = 184 .

Now ,

Fifth number = Sum of 5 numbers - Sum of four numbers = 400 - 184 = 216 .

The fifth number is 216 .

hope it helps u!

Answer 2

Answer:

It is given that mean of five numbers is 80.

Therefore, Mean =

$\frac{sum \: of \: all \: observations}{no \: of \: observations}$

Let the sum of all observations be x.

80 =

$\frac{x}{5}$

80X5= x

400= x --------------------(1)

Now, mean of 4 numbers is 46.

let y be the required no.

New mean =

$\frac{x - y}{4}$

46=

$\frac{x - y}{4}$

46 X 4 = x - y

184= x - y ------------------(2)

By substituting the value of x in (2),

we get

184= 400 - y

400-184 = y

y=216

Therefore, the required no. is 216.