The mean of 6 numbers is 19. If two more numbers are included, the mean of the 8 numbers becomes 23. What is the sum of the two included numbers?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 70
The mean is the sum divided by the count, so sum = mean × number of values. The two new numbers make up the increase in the sum.
Sum of the 6 numbers \(=6\times19=114\)
Sum of the 8 numbers \(=8\times23=184\)
Sum of the two included numbers \(=184-114=70\)