Question

ages | number of students
15-18 | 10
19-22 | 3
23-26 | 2
27-30 | 10
31-34 | 9
35-38 | 10
based on the frequency distribution above, find the relative frequency for the class with lower class limit 31
relative frequency = %
give your answer as a percent, rounded to one decimal place

Explanation:

Step1: Calculate total number of students

Sum the number of students in each class: \(10 + 3 + 2 + 10 + 9 + 10 = 44\)

Step2: Find frequency for class with lower limit 31

The class with lower limit 31 is 31 - 34, with frequency 9.

Step3: Calculate relative frequency

Relative frequency = \(\frac{\text{Frequency of class}}{\text{Total number of students}} \times 100\%\)
So, \(\frac{9}{44} \times 100\% \approx 20.5\%\) (rounded to one decimal place)

Answer:

20.5%