Questions: Ages Number of students 15-18 5 19-22 8 23-26 6 27-30 10 31-34 10 35-38 4 Based on the frequency distribution above, find the relative frequency for the class with lower class limit 35 Relative Frequency =

Ages Number of students
15-18 5
19-22 8
23-26 6
27-30 10
31-34 10
35-38 4

Based on the frequency distribution above, find the relative frequency for the class with lower class limit 35

Relative Frequency =

Transcript text: \begin{tabular}{|c|r|} \hline Ages & Number of students \\ \hline $15-18$ & 5 \\ \hline $19-22$ & 8 \\ \hline $23-26$ & 6 \\ \hline $27-30$ & 10 \\ \hline $31-34$ & 10 \\ \hline $35-38$ & 4 \\ \hline \end{tabular} Based on the frequency distribution above, find the relative frequency for the class with lower class limit 35 Relative Frequency = $\square$

Solution

Solution Steps

To find the relative frequency for the class with a lower class limit of 35, first identify the frequency of that class, which is 4. Then, calculate the total number of students by summing up all the frequencies. Finally, divide the frequency of the class by the total number of students to get the relative frequency.

Step 1: Identify Frequencies

The frequency of the age group with a lower class limit of 35 is given as $ f = 4 $.

Step 2: Calculate Total Students

The total number of students is calculated by summing the frequencies of all age groups: \[ \text{Total Students} = 5 + 8 + 6 + 10 + 10 + 4 = 43 \]

Step 3: Calculate Relative Frequency

The relative frequency for the class with a lower class limit of 35 is calculated using the formula: \[ \text{Relative Frequency} = \frac{f}{\text{Total Students}} = \frac{4}{43} \approx 0.0930 \]