Questions: Consider the following frequency table representing the distribution of hourly wages for first jobs of a certain population. Hourly Wage at First Job Class Frequency -- 5.3-6.3 4 6.4-7.4 8 7.5-8.5 6 8.6-9.6 11 9.7-10.7 5 Determine the cumulative frequency for the fourth class.

Consider the following frequency table representing the distribution of hourly wages for first jobs of a certain population.

Hourly Wage at First Job

Class Frequency
--
5.3-6.3 4
6.4-7.4 8
7.5-8.5 6
8.6-9.6 11
9.7-10.7 5

Determine the cumulative frequency for the fourth class.

Transcript text: Consider the following frequency table representing the distribution of hourly wages for first jobs of a certain population. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{\begin{tabular}{c} Hourly Wage at First \\ Job \end{tabular}} \\ \hline Class & Frequency \\ \hline $5.3-6.3$ & 4 \\ \hline $6.4-7.4$ & 8 \\ \hline $7.5-8.5$ & 6 \\ \hline $8.6-9.6$ & 11 \\ \hline $9.7-10.7$ & 5 \\ \hline \end{tabular} Step 1 of 2: Determine the cumulative frequency for the fourth class.

Solution

Solution Steps

To determine the cumulative frequency for the fourth class, we need to sum the frequencies of all classes up to and including the fourth class.

Step 1: Identify the Frequencies

Given the frequency table, we have the following frequencies for each class:

$5.3-6.3$: 4
$6.4-7.4$: 8
$7.5-8.5$: 6
$8.6-9.6$: 11
$9.7-10.7$: 5

Step 2: Calculate the Cumulative Frequency for the Fourth Class

To find the cumulative frequency for the fourth class, we sum the frequencies of all classes up to and including the fourth class: \[ \text{Cumulative Frequency} = 4 + 8 + 6 + 11 \]

Step 3: Perform the Summation

\[ 4 + 8 + 6 + 11 = 29 \]