Question

(a) Use the information given in the adjoining histogram to construct a frequency table.

(b) Use this table to construct an ogive.

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Answer 1

(a) \begin{tabular}{|c|c|c|} \hline Class Interval & Frequency & c.f. \\ \hline \( 8-12 \) & 9 & 9 \\ \hline \( 12-16 \) & 16 & 25 \\ \hline \( 16-20 \) & 22 & 47 \\ \hline \( 20-24 \) & 18 & 65 \\ \hline \( 24-28 \) & 12 & 77 \\ \hline \( 28-32 \) & 4 & 81 \\ \hline \end{tabular}

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(b) Now plot the points $(12,9),(16,25),(20,47),(24,65),(28,77),(32,81),$ and join them to obtain an ogive.

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