90
Find 'median' and 'mode' of the following data :
begin{tabular}{|l|c|c|c|c|c|c|}
hline Class & 100-105 & 105-110 & 110-115 & 115-120 & 120-125 & 125-130
hline Frequency & 6 & 8 & 10 & 4 & 9 & 3
hline
end{tabular}
begin{tabular}{|l|c|c|c|c|c|c|}
hline Class & 100-105 & 105-110 & 110-115 & 115-120 & 120-125 & 125-130
hline Frequency & 6 & 8 & 10 & 4 & 9 & 3
hline
end{tabular}
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Correct table [$1\frac{1}{2}$ mark]
Median class is $110 - 115$
Median $= 110 + \frac{5}{10}(20 - 14) = 113$ [$1 + \frac{1}{2}$ mark]
Modal class is $110 - 115$
Mode $= 110 + \frac{10 - 8}{20 - 8 - 4} \times 5 = 111.25$ [$1\frac{1}{2} + \frac{1}{2}$ mark]
Median class is $110 - 115$
Median $= 110 + \frac{5}{10}(20 - 14) = 113$ [$1 + \frac{1}{2}$ mark]
Modal class is $110 - 115$
Mode $= 110 + \frac{10 - 8}{20 - 8 - 4} \times 5 = 111.25$ [$1\frac{1}{2} + \frac{1}{2}$ mark]