Question

The average of 25 numbers is 104. If 12 is added in each term, then the average of new set of numbers is​

Answer 1

Answer:

New average would be 116

Step-by-step explanation:

Given,

The total numbers = 25,

Original average = 104,

$\text{Average}=\frac{\text{Sum of all observation}}{\text{Number of observations}}$

$\implies \text{Sum of observations}=\text{Average}\times \text{total observations}}$

Thus, sum of 25 numbers = 25 × 104 = 2600,

Now, if 12 is added in each term,

So, the additional sum = 25 × 12 = 300,

i.e. new sum = 2600 + 300 = 2900

Hence, new average = $\frac{2900}{25}$ = 116

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