Answered

Based on the frequency distribution below, find the relative frequency for the class with a lower class limit of 19. Give your answer as a percent, rounded to one decimal place.

| Ages | Number of Students |
|--------|---------------------|
| 15-18 | 2 |
| 19-22 | 2 |
| 23-26 | 5 |
| 27-30 | 8 |
| 31-34 | 10 |
| 35-38 | 6 |

Relative Frequency = _______ %



Answer :

GinnyAnswer
To find the relative frequency for the class with the lower class limit of 19, we will follow these steps:

1. Determine the total number of students:
Add the number of students in each age group to get the total number of students.

[tex]\[ \text{Total students} = 2 + 2 + 5 + 8 + 10 + 6 = 33 \][/tex]

2. Identify the number of students in the age group 19-22:
According to the given data table, there are 2 students in the 19-22 age group.

3. Calculate the relative frequency for the age group 19-22:
The formula for relative frequency is given by:

[tex]\[ \text{Relative Frequency} = \left( \frac{\text{Number of students in the age group}}{\text{Total number of students}} \right) \times 100 \][/tex]

Substituting the numbers:

[tex]\[ \text{Relative Frequency} = \left( \frac{2}{33} \right) \times 100 \][/tex]

4. Compute and round the result to one decimal place:

[tex]\[ \left( \frac{2}{33} \right) \times 100 \approx 6.0606060606060606 \rightarrow 6.1 \, (\text{rounded to one decimal place}) \][/tex]

Thus, the relative frequency for the class with the lower class limit of 19 is:

[tex]\[ \boxed{6.1} \% \][/tex]

Other Questions