The median of the following frequency distribution is 35 . Find the value of x and hence find the mode. Class: 0-10…

CBSE Class 10 Maths PYQ · Statistics · Find Freuency · 5 Marks · July 2025 · Standard

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805 Marks · July 2025 · Standard

The median of the following frequency distribution is $35$. Find the value of $x$ and hence find the mode.
Class: $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$
Frequency: $2$ $3$ $x$ $6$ $5$ $3$ $2$

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Correct table
Median class is $30 – 40$
Median = $35$
$\therefore 30 + \frac{(\frac{21+x}{2})-(5+x)}{6} \times 10 = 35$
$\Rightarrow x = 5$
Modal class is $30 – 40$
Mode = $30+\frac{6-5}{2\times6-5-5} \times 10$
$= 35$