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The median of the following data is $137$. Find the values of $x$ and $y$, given that total of frequencies is $68$. [TABLE_CONTENT_MISSING]
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Sol. [TABLE_CONTENT_MISSING] Correct table (1
frac{1}{2} Mark)
Given, Median $= 137$
$\therefore$ Median Class is $125 - 145$. (1/2 Mark)
125 + $[\frac{\frac{68}{2} – (9+x)}{20}] \times 20 = 137$ (1 Mark)
$\Rightarrow x = 13$ (1 Mark)
Also, $47 + x + y = 68$
$\therefore 47 + 13 + y = 68 \Rightarrow y = 8$ (1 Mark)
frac{1}{2} Mark)
Given, Median $= 137$
$\therefore$ Median Class is $125 - 145$. (1/2 Mark)
125 + $[\frac{\frac{68}{2} – (9+x)}{20}] \times 20 = 137$ (1 Mark)
$\Rightarrow x = 13$ (1 Mark)
Also, $47 + x + y = 68$
$\therefore 47 + 13 + y = 68 \Rightarrow y = 8$ (1 Mark)