Question

Explain the difference between each pair of concepts.

a. Frequency and relative frequency
b. Percentage and relative frequency

a. Select the correct choice below.
A. Frequency is the total number of observations in a data set. Relative frequency is the number of times a particular distinct value occurs.
B. Frequency is the number of times a particular distinct value occurs. Relative frequency is the ratio of the frequency of a value to the total number of observations.
C. Frequency is the total number of observations in a data set. Relative frequency is the ratio of the number of times a particular distinct value occurs to the frequency.
D. Frequency is the number of times a particular distinct value occurs. Relative frequency is the ratio of the frequency of two different values.

b. Select the correct choice below.
A. A relative frequency is the same as a percentage expressed as a decimal.
B. A relative frequency expressed as a decimal is the same as a percentage.
C. A relative frequency is the ratio of two percentages.
D. There is no difference between a relative frequency and a percentage. Click to select your answer.

Answer 1

a. B. Frequency is the number of times a particular distinct value occurs. Relative frequency is the ratio of the frequency of a value to the total number of observations.

b. A. A relative frequency is the same as a percentage expressed as a decimal.

Explanation:

Frequency is the number of repetitions of a particular observation.

Relative Frequency is the ratio of the frequency of particular observation to the sum of frequencies of all the observations.

The percentage is the proportion of the whole.

Thus, In question (a)

Option B is the only correct answer.

and in question (b)

Option A is the only correct answer.