30. The arithmetic mean of 100 ob-servations is 24. 6 is added toeach

1.	30. The arithmetic mean of 100 ob-servations is 24. 6 is added toeach of the observations and,then each of them is multipliedby 2.5. Find the new arith-metic mean.
Answer» The arithmetic mean = Sum of all observations/Number of observations Hence, sum of all observations = 24100 = 2400 Now, 6 is added to each of the observations, so the sum would be 2400 + 1006 = 3000 And then, each of them is multiplied by 2.5. So, the new sum of all observations = 3000*2.5 =7500 Hence mean - 7500/100 = 75

30. The arithmetic mean of 100 ob-servations is 24. 6 is added toeach of the observations and,then each of them is multipliedby 2.5. Find the new arith-metic mean.

Answer»

The arithmetic mean = Sum of all observations/Number of observations

Hence, sum of all observations = 24*100 = 2400

Now, 6 is added to each of the observations, so the sum would be 2400 + 100*6 = 3000

And then, each of them is multiplied by 2.5. So, the new sum of all observations = 3000*2.5 =7500

Hence mean - 7500/100 = 75