The following distribution shows the daily pocket allowance of children of a locality. The mean daily pocket allowance…

CBSE Class 10 Maths PYQ · Statistics · Find Freuency · 5 Marks · March 2024 · Standard

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755 Marks · March 2024 · Standard
The following distribution shows the daily pocket allowance of children of a locality. The mean daily pocket allowance is ₹36.10. Find the missing frequency, $f$.
Daily pocket allowance (in $\text{Rs}$)
Number of children
$20-25$
$7$
$25-30$
$6$
$30-35$
$9$
$35-40$
$13$
$40-45$
$f$
$45-50$
$5$
$50-55$
$4$
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Daily pocket allowance (in $\text{Rs}$)
Number of children ($f_i$)
$x_i$
$f_i x_i$
$20-25$
$7$
$22.5$
$157.5$
$25-30$
$6$
$27.5$
$165$
$30-35$
$9$
$32.5$
$292.5$
$35-40$
$13$
$37.5$
$487.5$
$40-45$
$f$
$42.5$
$42.5 f$
$45-50$
$5$
$47.5$
$237.5$
$50-55$
$4$
$52.5$
$210.0$
Total
$44 + f$
$1550 + 42.5 f$
Correct table
Mean = $36.10$
$$\begin{aligned}& \frac{1550+42.5 f}{44+f} = 36.10 \\ & \Rightarrow f=6\end{aligned}$$
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