the mean of 8 observations is 40 if 5 is added to each observation then find the new mean
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Answered by
318
We know that Mean=Sum of terms/number of terms
As given
Mean=40 and number of terms=8 so
40=Sum of terms/8
Sum of terms=40*8=320 now by increasing each term by 5 sum of terms will increase by 8*5=40 so new Sum will be
Sum of terms=320+40=360
Again solving to find mean
Mean=Sum of terms/number of terms
Mean=360/8=45
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As given
Mean=40 and number of terms=8 so
40=Sum of terms/8
Sum of terms=40*8=320 now by increasing each term by 5 sum of terms will increase by 8*5=40 so new Sum will be
Sum of terms=320+40=360
Again solving to find mean
Mean=Sum of terms/number of terms
Mean=360/8=45
Please mark as brainliest.
GovindKrishnan:
Thanks! ☺
Answered by
156
Formula to be used:
(i)![\text{ Mean}= \frac{\text{ sum of the values} }{\text{Number of observations}} \text{ Mean}= \frac{\text{ sum of the values} }{\text{Number of observations}}](https://tex.z-dn.net/?f=%5Ctext%7B+Mean%7D%3D+%5Cfrac%7B%5Ctext%7B+sum+of+the+values%7D+%7D%7B%5Ctext%7BNumber+of+observations%7D%7D+)
(ii)![\text{ Total} = \text{ Mean} \times\text{ Number of observations} \text{ Total} = \text{ Mean} \times\text{ Number of observations}](https://tex.z-dn.net/?f=%5Ctext%7B+Total%7D+%3D+%5Ctext%7B+Mean%7D+%5Ctimes%5Ctext%7B+Number+of+observations%7D+)
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Given, the mean of 8 observations is 40.
Number of observations=8
Mean=40
We know that ,
Total = Mean × Number of observations
Total = 40×8=320
If 5 is added to each of the 8 observations, then the sum of the values will increase by (5×8)=40.
New total = 320 + 40=360
![\text{ New Mean}= \frac{\text{ New Total} }{\text{Number of observations}}=\frac{360 }{8}=45 \text{ New Mean}= \frac{\text{ New Total} }{\text{Number of observations}}=\frac{360 }{8}=45](https://tex.z-dn.net/?f=%5Ctext%7B+New+Mean%7D%3D+%5Cfrac%7B%5Ctext%7B+New+Total%7D+%7D%7B%5Ctext%7BNumber+of+observations%7D%7D%3D%5Cfrac%7B360+%7D%7B8%7D%3D45+)
Answer : New mean = 45
(i)
(ii)
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Given, the mean of 8 observations is 40.
Number of observations=8
Mean=40
We know that ,
Total = Mean × Number of observations
Total = 40×8=320
If 5 is added to each of the 8 observations, then the sum of the values will increase by (5×8)=40.
New total = 320 + 40=360
Answer : New mean = 45
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