Math Problem Statement

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

Solution

To find the relative frequency for the class with the lower class limit 35, we need to follow these steps:

  1. Locate the class: The class with the lower class limit 35 is the class 35-38.
  2. Number of students in this class: From the table, the number of students in the 35-38 class is 10.
  3. Total number of students: We sum all the frequencies from the table: 2+7+2+8+6+10=352 + 7 + 2 + 8 + 6 + 10 = 35
  4. Calculate the relative frequency: The relative frequency for the 35-38 class is: Relative Frequency=1035×100\text{Relative Frequency} = \frac{10}{35} \times 100 Let's calculate this.The relative frequency for the class with the lower class limit 35 is approximately 28.6% when rounded to one decimal place.

Do you have any further questions or need additional details?

Here are 5 related questions to expand on this concept:

  1. How do you calculate the relative frequency for other classes?
  2. What is the cumulative frequency for the class 35-38?
  3. How would you find the relative frequency for the class with the lower limit 19?
  4. What is the difference between relative and absolute frequency?
  5. How would the relative frequency change if the total number of students were different?

Tip: When dealing with frequency distributions, always ensure the sum of all relative frequencies equals 100% to check your work.

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Math Problem Analysis

Mathematical Concepts

Statistics
Relative Frequency
Frequency Distribution

Formulas

Relative Frequency = (Frequency of the Class / Total Frequency) * 100

Theorems

Relative Frequency Calculation

Suitable Grade Level

Grades 9-12