94
If the median of the following distribution is $32.5$, then find the values of $x$ and $y$.
Show SolutionHide Solution↓
Sol. Correct table (1 1/2 Mark)
31+ x + y = 40
Rightarrow x + y = 9$-------(i) (1 Mark)\Median class $= 30 - 40$ (1/2 Mark)\Median $= 32.5 = 30 +
frac{20-(14+ x)}{12}
times 10$$\begin{aligned}& (1 Mark) \\ & Rightarrow x = 3\end{aligned}$$ (1/2 Mark)
Rightarrow y = 6$ (1/2 Mark)
31+ x + y = 40
Rightarrow x + y = 9$-------(i) (1 Mark)\Median class $= 30 - 40$ (1/2 Mark)\Median $= 32.5 = 30 +
frac{20-(14+ x)}{12}
times 10$$\begin{aligned}& (1 Mark) \\ & Rightarrow x = 3\end{aligned}$$ (1/2 Mark)
Rightarrow y = 6$ (1/2 Mark)