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Find 'mean' and 'mode' marks of the following data :
begin{tabular}{|l|c|c|c|c|c|c|}
hline Marks & 0-5 & 5-10 & 10-15 & 15-20 & 20-25 & 25-30
hline Number of students & 2 & 3 & 8 & 15 & 14 & 8
hline
end{tabular}
begin{tabular}{|l|c|c|c|c|c|c|}
hline Marks & 0-5 & 5-10 & 10-15 & 15-20 & 20-25 & 25-30
hline Number of students & 2 & 3 & 8 & 15 & 14 & 8
hline
end{tabular}
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Correct table with $x_i, f_i, u_i, f_iu_i$
$\sum f_i = 50, \sum f_iu_i = 10$
Mean $= 17.5 + 5 \times \frac{10}{50} = 18.5$
Modal class is $15 - 20$
Mode $= 15 + 5 \times \frac{15-8}{30-8-14} = 19.38$
$\sum f_i = 50, \sum f_iu_i = 10$
Mean $= 17.5 + 5 \times \frac{10}{50} = 18.5$
Modal class is $15 - 20$
Mode $= 15 + 5 \times \frac{15-8}{30-8-14} = 19.38$