The average of four numbers is 12·5. If each number is increased by 2·5, then the new average will be :
None of the above
When the same amount is added to every number in a group, the average rises by exactly that amount. This holds because the sum grows by that amount times the count of numbers.
Step 1 — Sum of the four numbers = 4 × 12.5 = 50.
Step 2 — New sum = 50 + 4 × 2.5 = 60, so the new average = \(\frac{60}{4} = 15.0\) (that is, 12.5 + 2.5).
Step 3 — The listed values 14·5, 12·5, 13·0 and 15·5 all differ from 15·0, so none of them is the new average.
None of the above option is correct.
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