CFA® Level 1 Exam: Relative Frequency Distribution | Test Prep

Relative Frequency Distribution of a Dataset - CFA® Level 1 Exam

Prev Question Next Question

Question

A dataset of 105 observations is organized in a relative frequency distribution into 9 classes. The sum of the relative frequencies across all the classes equals

________.

Answers

Explanations

Click on the arrows to vote for the correct answer

A. B. C. D.

B

Relative class frequencies are percentages and across all classes, they must sum up to 100%, which is the same as summing up to 1.00.

To find the sum of the relative frequencies across all the classes, we need to understand what relative frequency means and how it is calculated.

Relative frequency is a measure of the proportion or percentage of observations in a particular class relative to the total number of observations. It is often used in statistical analysis to understand the distribution of data.

In this case, we have a dataset of 105 observations organized into 9 classes. Let's assume that the classes are labeled from 1 to 9.

The relative frequency of a class is calculated by dividing the frequency of that class by the total number of observations. The frequency of a class represents the number of observations falling within that class.

Let's denote the relative frequency of class i as f(i) and the frequency of class i as n(i). The sum of the relative frequencies across all the classes can be calculated as follows:

Sum of relative frequencies = f(1) + f(2) + f(3) + ... + f(9)

To find the sum of the relative frequencies, we need to know the values of f(1), f(2), ..., f(9). However, the information provided in the question only mentions that the dataset has 105 observations organized into 9 classes, but it does not provide the specific frequencies or the relative frequencies of each class. Without that information, we cannot determine the sum of the relative frequencies.

Therefore, the correct answer cannot be determined based on the information given in the question. None of the provided answers (A, B, C, or D) can be definitively chosen as the correct answer.