College

[tex]
\begin{array}{|c|c|}
\hline
\text{Weight (kg)} & \text{Frequency} \\
\hline
40-49.9 & 3 \\
\hline
50-59.9 & 23 \\
\hline
60-69.9 & 21 \\
\hline
70-79.9 & 13 \\
\hline
80-89.9 & 3 \\
\hline
90-99.9 & 4 \\
\hline
\end{array}
[/tex]

Answer :

To solve this question, we're going to find the total number of observations based on the frequency table provided. Let's go through the process step-by-step.

1. Understand the Table:
- The table gives us weight categories and the frequency of observations (or count of individuals) that fall within each category.

2. List of Frequencies:
- Each category has an associated frequency (number of observations):
- For the weight range [tex]\(40-49.9\)[/tex] kg, the frequency is 3.
- For [tex]\(50-59.9\)[/tex] kg, the frequency is 23.
- For [tex]\(60-69.9\)[/tex] kg, the frequency is 21.
- For [tex]\(70-79.9\)[/tex] kg, the frequency is 13.
- For [tex]\(80-89.9\)[/tex] kg, the frequency is 3.
- For [tex]\(90-99.9\)[/tex] kg, the frequency is 4.

3. Calculate the Total Number of Observations:
- To find the total number of observations, you simply add up all the frequencies:

[tex]\[
\text{Total Observations} = 3 + 23 + 21 + 13 + 3 + 4
\][/tex]

4. Add the Numbers:
- Perform the addition:
- [tex]\(3 + 23 = 26\)[/tex]
- [tex]\(26 + 21 = 47\)[/tex]
- [tex]\(47 + 13 = 60\)[/tex]
- [tex]\(60 + 3 = 63\)[/tex]
- [tex]\(63 + 4 = 67\)[/tex]

5. Conclude:
- The total number of observations is 67.

Thus, there are 67 individuals in total whose weights have been categorized in the given ranges.