Finite Math Examples

\begin{matrix} Class & Frequency 15 - 21 & 7 22 - 28 & 3 29 - 35 & 2 36 - 42 & 5 43 - 49 & 1 \end{matrix}

$\begin{array}{c} Class & Frequency \\ 15 - 21 & 7 \\ 22 - 28 & 3 \\ 29 - 35 & 2 \\ 36 - 42 & 5 \\ 43 - 49 & 1 \end{array}$

Step 1

The cumulative frequency of a data class is the number of data elements in that class and all the previous classes.

\begin{matrix} Class & Frequency (f) & Cumulative - Frequency 15 - 21 & 7 & 7 22 - 28 & 3 & 7 + 3 29 - 35 & 2 & 7 + 3 + 2 36 - 42 & 5 & 7 + 3 + 2 + 5 43 - 49 & 1 & 7 + 3 + 2 + 5 + 1 \end{matrix}

$\begin{array}{c} Class & Frequency (f) & Cumulative - Frequency \\ 15 - 21 & 7 & 7 \\ 22 - 28 & 3 & 7 + 3 \\ 29 - 35 & 2 & 7 + 3 + 2 \\ 36 - 42 & 5 & 7 + 3 + 2 + 5 \\ 43 - 49 & 1 & 7 + 3 + 2 + 5 + 1 \end{array}$

Step 2

Simplify the cumulative frequency column.

\begin{matrix} Class & Frequency (f) & Cumulative - Frequency 15 - 21 & 7 & 7 22 - 28 & 3 & 10 29 - 35 & 2 & 12 36 - 42 & 5 & 17 43 - 49 & 1 & 18 \end{matrix}

$\begin{array}{c} Class & Frequency (f) & Cumulative - Frequency \\ 15 - 21 & 7 & 7 \\ 22 - 28 & 3 & 10 \\ 29 - 35 & 2 & 12 \\ 36 - 42 & 5 & 17 \\ 43 - 49 & 1 & 18 \end{array}$

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