The median of the following distribution is 545 . If the sum of all frequencies is 100 , then find the values of x and…
CBSE Class 10 Maths PYQ · Statistics · Find Freuency · 5 Marks · July 2025 · Standard
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765 Marks · July 2025 · Standard
The median of the following distribution is $545$. If the sum of all frequencies is $100$, then find the values of $x$ and $y$. Class quad Frequency $0-100$ quad $3$ $100-200$ quad $4$ $200-300$ quad $5$ $300-400$ quad $x$ $400-500$ quad $17$ $500-600$ quad $20$ $600-700$ quad $19$ $700-800$ quad $y$ $800-900$ quad $8$ $900-1000$ quad $3$
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Correct table Therefore, $79 + x + y = 100$ $\Rightarrow x + y = 21$ Median class is $500 - 600$. Median = $545$ $\therefore 500 + \frac{\frac{100}{2} - (29+x)}{20} \times 100 = 545$ $\Rightarrow x = 12$ and $y = 9$
