Question

Arithmetic mean of four numbers is 16 one item 20 is replaced by 24 what is the new arithmetic mean?

Answer 1

I hope this helps you.

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Answer 2

Answer:

17

Step-by-step explanation:

$Mean = \frac{\text{sum of observations}}{\text{no. of observations}}$

So, $\text{Mean of four numbers} = \frac{\text{sum of 4 numbers }}{4}$

Since we are given that Arithmetic mean of four numbers is 16 .

So,  $16 = \frac{\text{sum of 4 numbers }}{4}$

$16 \times 4=\text{sum of 4 numbers }$

$64=\text{sum of 4 numbers }$

Thus the sum of 4 numbers is 64

Now we are given that one item 20 is replaced by 24

So, new sum = 64-20+24=68

So, new sum = 68

So,  $\text{New Mean} = \frac{68}{4}$

 $\text{New Mean} = 17$

Hence the new arithmetic mean is 17