Question

The mean of 5 observations is x. If 4 is added to each observation find the new mean

Answer 1

mean if 5 observation= x
sum of 5 observation = 5x
if 4 is added to each observation then sum of 5 observation =5x +20
mean =5x+20/5= x+4

Answer 2

The new mean is x+4

Step-by-step explanation:

$Average = \frac{\text{Sum of 5 observations}}{\text{Number of observations}}$

The mean of 5 observations is x.

$x=\frac{Sum}{5}$

5x=Sum

4 is added to each observation

So, Sum = 5x+5(4)

Sum = 20+5x

The new mean =$\frac{20+5x}{5}=x+4$

#Learn more:

The mean of 20 observation is 36. Find the new mean if

1. Each observation is divided by 5

2.each observation is multiplied by 5

3. Each observation is increased by 2

4. 2 is subtracted from each observation

5. 5 is added to each observation

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