The following table shows the lifetime (in hours) of 88...

The following table shows the lifetime (in hours) of 88 light bulbs: $$ \begin{array}{l|c|} \hline \text { Lifetime } L \text { (hours) } & \text { Frequency } \\ \hline 150 \leq L<200 & 5 \\ 200 \leq L<250 & 7 \\ 250 \leq L<300 & 10 \\ 300 \leq L<350 & 12 \\ 350 \leq L<400 & 14 \\ 400 \leq L<450 & 11 \\ 450 \leq L<500 & 10 \\ 500 \leq L<550 & 8 \\ 550 \leq L<600 & 7 \\ \hline 600 \leq L<650 & 4 \\ \hline \end{array} $$ Draw a frequency polygon to illustrate, this data.

The following table shows the lifetime (in hours) of 88 light bulbs:
$$
\begin{array}{l|c|}
\hline \text { Lifetime } L \text { (hours) } & \text { Frequency } \\
\hline 150 \leq L<200 & 5 \\
200 \leq L<250 & 7 \\
250 \leq L<300 & 10 \\
300 \leq L<350 & 12 \\
350 \leq L<400 & 14 \\
400 \leq L<450 & 11 \\
450 \leq L<500 & 10 \\
500 \leq L<550 & 8 \\
550 \leq L<600 & 7 \\
\hline 600 \leq L<650 & 4 \\
\hline
\end{array}
$$
Draw a frequency polygon to illustrate, this data.

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Key Concepts

Frequency Polygon

A frequency polygon is a line graph created by connecting points plotted at the midpoints of the class intervals with the corresponding frequencies. This visual representation helps to illustrate the distribution and trends in the data, making it easier to compare different data sets or observe changes over intervals.

Class Midpoint

The class midpoint is the central value of a class interval and is calculated by averaging the lower and upper bounds of the interval. In a frequency polygon, these midpoints are used as the x-coordinates for plotting, which facilitates an accurate representation of the distribution.

Frequency Distribution

A frequency distribution is a summary of data that shows the number of observations within specified intervals, known as class intervals. It organizes raw data into groups, which simplifies the analysis and visualization of the overall pattern of the data.

Class Interval

A class interval represents a range of values in a frequency distribution. It divides the entire range of data into segments, allowing for the grouping of observations and the subsequent computation of frequencies for each segment.

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