What is the average of number from 1 to 50 which are multiples of 2 or 5 ? ( correct to one decimal place )
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 25.8
Average = (1st term + last term)/2 = Sum of elements/No. of elements
Total number of terms (tn)= a + (n - 1)d
n = number of terms, a = 1st term, d = common difference
For 2 -
50 = 2 + 2n - 2
n = 25
Average = (2 + 50)/2 = 26
Total = 26 × 25 = 650
For 5 -
50 = 5 + 5n - 5
n = 10
Average = (5 + 50)/2 = 27.5
Total = 27.5 × 10 = 275
10, 20, 30, 40, and 50 come two times.
Effective total = 650 + 275 - 150 = 775
The number of terms that are multiples of 2 or 5 = 25 + 10 - 5 = 30
Average = 775/30 = 25.8