Question

A. Find the mode of the following data:
Marks Number of Students
10-20
15
20-30
30
30-40
45
40-50
12
50-60
18
​

Answer 1

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$\begin{tabular}{ci | f }marks  &no of student \\10-20 & 15 \\20-30 &  30\\30-40 & 45\\40-50 & 12 \\50-60 & 18 \\\end{tabular}$

here $f_1$ = 45

$f_0$ =30

$f_2$= 12

$l$ = 30

$h$ = 10

$mode$ = $l+\frac{f_1-f_0}{2f_1-f_0-f_2} *h$

                           =  $30+\frac{45-30}{2*45-30-12} *10$

                           =  $30+\frac{15}{90-42} *10$

                            =   $30+\frac{15}{48} *10$

                             = $30+\frac{150}{48}$

                                = $30+3.125$

                                 = $33.125$

$\boxed{\red{mode\:= 33.125}}$

Answer 2

Step-by-step explanation:

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