Themean of 15 no is 5 if 2is added to each no then what will be the mean
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the mean of 15 numbers is 5
therefore their sum=15*5=75
if 2 is added to each number then 2 is added to the all the 15 numbers
therefore 2*15 or 30 more will be added to the sum or 75
=75+30=105
therefore new mean = 105/15=7 [mean=sum of observations/no. of observations]
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Arithmetic Mean = Sum of 15 number / 15
⇒ 5 = Sum of 15 number /15
⇒ 5 × 15 = Sum of 15 number
⇒ sum of fifteen number = 75
since two is added to each number means total 2 × 15 = 30 is added to total sum
so new sum of fifteen number = 75 + 30 = 105
New arithmetic mean = 105/15 = 17
New mean will be 17.
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