Question

the average of 8 observations is 24 if one more observation of 33 is added then the new average will be

Answer 1

Answer:

25

Step-by-step explanation:

Present Sum= 8×24=192

New sum = 192+33=225

new average= 225/9=25

Answer 2

According to details given in above question

We have to find the new average value .

Step-by-step explanation:

Given ,

The number of observation = 8

The mean of 8 observation= 24

And

If one more observation added value = 33

Step-1:

Mean formula :

$Mean= \frac{sum \: of \: all \: observation }{Number \: of \: observation }$

Now put the values from given values ,

$24= \frac{ sum \: of \: 8 \: observation}{8}$

Shift the 8 toward left hand side , we get

$24 \times 8= { sum \: of \: 8\: observation}$

Multiply the values

${ sum \: of \: 8\: observation} = 192$

Step-2:

A new number or observation 33 is added to the previous values.

Number of observation+ New observation= 192+33

Number of observation+ New observation= 225

Step-3:

$Mean \: of \: 9 \: no.= \frac{sum \: of \: 9\: observation }{Number \: of \: observation }$

Put the values

$Mean \: of \: 9 \: no.= \frac{225 }{9 }$

Divide the values ,we get the mean of 9 terms ,

$Mean \: of \: 9 \: no.= \frac{225 \div 9 }{9 \div 9 }$

$Mean \: of \: 9 \: no.= 25$

Hence ,

The new average mean is 25.

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