Question

Find the mode and median of the following frequency distribution:
$\begin{array}{ccccccc}x& 10& 11& 12& 13& 14& 15\\ f& 1& 4& 7& 5& 9& 3\end{array}$

Answer 1

$\begin{array}{ccc}x& f& cf\\ 10& 1& 1\\ 11& 4& 5\\ 12& 7& 12\\ 13& 5& 17\\ 14& 9& 26\\ 15& 3& 29\\ & N=29& \end{array}$
Mode $=14$ as it has the highest frequency.
Median $=\left(\frac{N+1}{2}\right)\text{th observation}=\left(\frac{29+1}{2}\right)\text{th observation}$
$={15}^{th}observation=13$