Math Problem Statement

50 psychology students took a standardized test. The scores are summarized in the GFDT below.

      Scores         Frequency   

220 - 239

6

240 - 259

9

260 - 279

6

280 - 299

12

300 - 319

17

You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.

What is the relative fequency for the third class, 260 - 279?

Enter answer as a percent (but do not include the percent symbol).

relative frequency = 

Solution

To calculate the relative frequency for the third class (260 - 279), you need to divide the frequency of that class by the total number of students, and then multiply by 100 to express it as a percentage.

The frequency for the 260 - 279 class is 6, and the total number of students is 50.

Relative frequency=(Frequency of classTotal frequency)×100\text{Relative frequency} = \left( \frac{\text{Frequency of class}}{\text{Total frequency}} \right) \times 100

Relative frequency=(650)×100=12\text{Relative frequency} = \left( \frac{6}{50} \right) \times 100 = 12

So, the relative frequency for the 260 - 279 class is 12.

Would you like further details on this, or have any additional questions?


Here are 5 related questions:

  1. How do you calculate relative frequency for the entire data set?
  2. What is the cumulative frequency for all the classes up to 260 - 279?
  3. How can relative frequency help in comparing two data sets?
  4. Can you build a cumulative relative frequency distribution from this data?
  5. What is the relative frequency for the highest class (300 - 319)?

Tip: When working with frequency distributions, relative frequency is helpful for comparing different sets of data without being affected by the overall sample size.

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Math Problem Analysis

Mathematical Concepts

Statistics
Relative Frequency
Frequency Distribution

Formulas

Relative frequency = (Frequency of class / Total frequency) * 100

Theorems

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Suitable Grade Level

Grades 10-12