Questions: Construct the cumulative frequency distribution for the given data. Daily Low (° F) Frequency 35-39 3 40-44 4 45-49 5 50-54 15 55-59 7 60-64 5 65-69 1 Daily Low Temperature (° F) Cumulative Frequency Less than 40 Less than 45 Less than 50 Less than 55 Less than 60 Less than 65 Less than 70

Solution Steps

The given frequency distribution is: \[ \begin{tabular}{c|c} Daily Low \(\left({ }^{\circ} \mathrm{F}\right)\) & Frequency \\ \hline \(35-39\) & 3 \\ \(40-44\) & 4 \\ \(45-49\) & 5 \\ \(50-54\) & 15 \\ \(55-59\) & 7 \\ \(60-64\) & 5 \\ \(65-69\) & 1 \end{tabular} \]

To construct the cumulative frequency distribution, add the frequencies step by step:

• Less than 40: Only the first class (\(35-39\)) contributes, so the cumulative frequency is \(3\).
• Less than 45: Add the frequency of the second class (\(40-44\)) to the previous cumulative frequency: \(3 + 4 = 7\).
• Less than 50: Add the frequency of the third class (\(45-49\)) to the previous cumulative frequency: \(7 + 5 = 12\).

The cumulative frequency table is: \[ \begin{tabular}{c|c} Daily Low \(\left({ }^{\circ} \mathrm{F}\right)\) & Cumulative Frequency \\ \hline Less than 40 & 3 \\ \hline Less than 45 & 7 \\ \hline Less than 50 & 12 \\ \hline Less than 55 & \(\square\) \\ \hline Less than 60 & \(\square\) \\ \hline Less than 65 & \(\square\) \\ \hline Less than 70 & \(\square\) \\ \hline \end{tabular} \]

Final Answer