Questions: Class Frequency Midpoint 0-2 17 1 3-5 10 4 6-8 8 7 9-11 2 10 12-14 3 13 15-17 3 16 Create a frequency polygon. Choose the correct graph below.

Transcript text: \begin{tabular}{|c|c|c|} \hline Class & Frequency & Midpoint \\ \hline $0-2$ & 17 & 1 \\ \hline $3-5$ & 10 & 4 \\ \hline $6-8$ & 8 & 7 \\ \hline $9-11$ & 2 & 10 \\ \hline $12-14$ & 3 & 13 \\ \hline $15-17$ & 3 & 16 \\ \hline \end{tabular} Create a frequency polygon. Choose the correct graph below.

Solution

Solution Steps

Step 1: Identify the midpoints and frequencies

The midpoints and frequencies are given in the table:

$0-2$: Midpoint = 1, Frequency = 17
$3-5$: Midpoint = 4, Frequency = 10
$6-8$: Midpoint = 7, Frequency = 8
$9-11$: Midpoint = 10, Frequency = 2
$12-14$: Midpoint = 13, Frequency = 3
$15-17$: Midpoint = 16, Frequency = 3

Step 2: Plot the midpoints on the x-axis

The midpoints $1, 4, 7, 10, 13, 16$ will be plotted on the x-axis.

Step 3: Plot the frequencies on the y-axis

The corresponding frequencies $17, 10, 8, 2, 3, 3$ will be plotted on the y-axis.

Step 4: Connect the points with straight lines

After plotting the points $(1, 17), (4, 10), (7, 8), (10, 2), (13, 3), (16, 3)$, connect them with straight lines to form the frequency polygon.

Final Answer

The correct graph for the frequency polygon is the one that connects the points $(1, 17), (4, 10), (7, 8), (10, 2), (13, 3), (16, 3)$ with straight lines.

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