Question

If the median of the distribution given below is 28.5, find the value of x and y.
Class Interval 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 5 x 20 15 Y 5

Answer 1

$\begin{gathered}\boxed{\begin{array}{cccc}\sf Class\: Interval &\sf Frequency&\sf C.F\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf 0 - 10 &\sf 5 &\sf 5 \\\\\sf 10 - 20 &\sf x &\sf 5+x \\\\\sf 20 - 30 &\sf 20 &\sf 25+x \\\\\sf 30 - 40 &\sf 15 &\sf 40+x \\\\\sf 40 - 50 &\sf y &\sf 40+x+y \\\\\sf 50 - 60 &\sf 5 &\sf 45 + x + y \\\\\sf Total &\sf n = 60 &\sf\end{array}}\end{gathered}$