If m and n are the mean and median respectively of the set of numbers 2, 3, 9, 7, 6, 7, 8, 5, find m + 2n to the nearest whole number
A
19
B
18
C
13
D
12
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
mean(x) = \(\frac{\sum x}{N}\)
= \(\frac{48}{8}\)
= 5.875
re-arranging the numbers;
2, 3, 5, 6, 2, 7, 8, 9
median = \(\frac{6 + 7}{2}\)
= \(\frac{1}{2}\)
= 6.5
m + 2n = 5.875 + (6.5)2
= 13 + 5.875
= 18.875
= \(\approx\) = 19
Source: Myschool Past Questions Archive (Record #30741)