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.
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.
