Sure! Let's approach this problem step-by-step to find the total frequency.
We are given a frequency table with different class intervals and their corresponding frequencies. The goal is to determine the total frequency across all the given class intervals.
Here is the table provided:
[tex]\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
\text{Class Interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 & \text{Total Frequency} \\
\hline
\text{Frequency} & 2 & 6 & 5 & 4 & 3 & \\
\hline
\end{array}
\][/tex]
The frequencies given for each class interval are as follows:
- For the interval [tex]\(0-10\)[/tex], the frequency is 2.
- For the interval [tex]\(10-20\)[/tex], the frequency is 6.
- For the interval [tex]\(20-30\)[/tex], the frequency is 5.
- For the interval [tex]\(30-40\)[/tex], the frequency is 4.
- For the interval [tex]\(40-50\)[/tex], the frequency is 3.
To find the total frequency, we simply sum up these frequencies:
[tex]\[
2 + 6 + 5 + 4 + 3
\][/tex]
Adding these values together step-by-step:
[tex]\[
2 + 6 = 8
\][/tex]
[tex]\[
8 + 5 = 13
\][/tex]
[tex]\[
13 + 4 = 17
\][/tex]
[tex]\[
17 + 3 = 20
\][/tex]
So, the total frequency is 20.
[tex]\(\boxed{20}\)[/tex]
Thus, the total frequency across all the given class intervals is 20.
