The average of 25 observations is 13. It was later found that an observation 73 was wrongly entered as 48. The new average is
Options:
A . 14
B . 12.6
C . 13.8
D . 15
Answer: Option A Answer: (a)Difference of two observations = 73 – 48 = 25 ∴ New average = 13 + $25/25$=14 Aliter : Using Rule 26, If average of n numbers is m later on it was found that a number 'a’ was misread as 'b’. The correct average will be = m +${\text"(a-b)"}/ \text"n"$.Here, n = 25, m = 13 a = 73, b = 48 Correct Average = m + ${\text"(a-b)"}/ \text"n"n$ = 13 +${(73- 48)}/25$= 13 + 1 = 14
Submit Comment/FeedBack