The average of ten consecutive odd numbers is 46. The average of smallest and the greatest number is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 46.
Formula used:
Average = Sum of observation/number of observation ---- (1)
Calculations:
Let the ten consecutive odd numbers be x, x + 2, x + 4, x + 6, x + 8, x + 10, x + 12, x + 14, x + 16 and x + 18
Sum = 10x + 90
Using equation (1), we get
⇒ (10x + 90)/10 = 46
⇒ x + 9 = 46
⇒ x = 37
Smallest number is x i.e. 37 and
Greatest number = 37 + 18 = 55
Required average = (37 + 55)/2 = 46