\(\begin{array}{c|c} Class & Frequency\\ \hline 1 - 5 & 2\\6 - 10 & 4\\11 - 15 & 5\\16 - 20 & 2 \\ 21 - 25 & 3\\26 - 30 & 2\\31 - 35 & 1\\36 - 40 & 1 \end{array}\)
Find the median of the observation in the table given
A
11.5
B
12.5
C
14.0
D
14.5
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Median = L1 + (\(\frac{Ef}{fm}\)) - fo
\(\frac{\sum f}{2}\)
= \(\frac{20}{2}\)
= 10, L1 = 10.5, fo = 6, fm = 5
Median = 10.5 + \(\frac{(10 - 6)}{5}\)5
= 10.5 + 4
= 14.5
Source: Myschool Past Questions Archive (Record #31280)