Cost of Textbooks Distribution | Relative Class Frequency Calculation

$25 - $34 Class Relative Class Frequency

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Question

Given the following distribution regarding the cost of textbooks:

Cost of Textbooks Number -

$25 - $342

$35 - $445

$45 - $547

$55 - $6420

$65 - $7416

What is the relative class frequency for the $25 - $34 class?

Answers

Explanations

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A. B. C. D. E.

E

The relative frequency is given by 2/50 = 0.04 = 4%

To calculate the relative class frequency for the $25 - $34 class, we need to determine the number of observations in that class and divide it by the total number of observations.

According to the given distribution, the $25 - $34 class has a frequency of 342. This means that there are 342 observations falling within the range of $25 to $34.

To find the total number of observations, we sum up the frequencies for all the classes: 342 + 445 + 547 + 6420 + 7416 = 14770

Now, we can calculate the relative class frequency by dividing the frequency of the $25 - $34 class by the total number of observations: Relative class frequency = Frequency of $25 - $34 class / Total number of observations Relative class frequency = 342 / 14770

To express this as a percentage, we multiply the result by 100: Relative class frequency = (342 / 14770) * 100

Calculating this expression gives us: Relative class frequency ≈ 2.316%

From the provided answer choices, we can see that none of them match the calculated relative class frequency of approximately 2.316%. Therefore, the correct answer is D. None of these answers.