If the mean of the following distribution is 54 , find the value of p : Class 0-20, 20-40, 40-60, 60-80, 80-100 ;…

CBSE Class 10 Maths PYQ · Statistics · Find Freuency · 3 Marks · March 2025 · Standard

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663 Marks · March 2025 · Standard

If the mean of the following distribution is $54$, find the value of $p$ : Class $0-20, 20-40, 40-60, 60-80, 80-100$; Frequency $7, p, 10, 9, 13$

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Class $x_i$ $f_i$ $f_ix_i$
$0-20$ $10$ $7$ $70$
$20-40$ $30$ $p$ $30p$
$40-60$ $50$ $10$ $500$
$60-80$ $70$ $9$ $630$
$80-100$ $90$ $13$ $1170$
Total: $39+p$, $2370+30p$
Mean = $\frac{2370+30p}{39+p} = 54 \implies p = 11$