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The following table shows the ages of patients admitted in a hospital during a year :
begin{tabular}{|l|c|c|c|c|c|c|}
hline Age (in years) & 5-15 & 15-25 & 25-35 & 35-45 & 45-55 & 55-65
hline Number of Patients & 7 & 10 & 21 & 22 & 15 & 5
hline
end{tabular}
Find 'mode' and 'median' of the above data.
begin{tabular}{|l|c|c|c|c|c|c|}
hline Age (in years) & 5-15 & 15-25 & 25-35 & 35-45 & 45-55 & 55-65
hline Number of Patients & 7 & 10 & 21 & 22 & 15 & 5
hline
end{tabular}
Find 'mode' and 'median' of the above data.
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begin{tabular}{|l|c|c|c|c|c|c|}
hline CI & 5-15 & 15-25 & 25-35 & 35-45 & 45-55 & 55-65
hline f & 7 & 10 & 21 & 22 & 15 & 5
hline cf & 7 & 17 & 38 & 60 & 75 & $N = 80$
hline
end{tabular}
Median class is 35 - 45
Median = $35 + \frac{10}{22} \times (40 - 38) = 35.91$
Modal class is 35 - 45
Mode = $35 + \frac{22 - 21}{44 - 21 - 15} \times 10 = 36.25$
hline CI & 5-15 & 15-25 & 25-35 & 35-45 & 45-55 & 55-65
hline f & 7 & 10 & 21 & 22 & 15 & 5
hline cf & 7 & 17 & 38 & 60 & 75 & $N = 80$
hline
end{tabular}
Median class is 35 - 45
Median = $35 + \frac{10}{22} \times (40 - 38) = 35.91$
Modal class is 35 - 45
Mode = $35 + \frac{22 - 21}{44 - 21 - 15} \times 10 = 36.25$