Question

HELP NEEDED!!!

Using the following table, what is the term that best describes the entry of 0.31?

Do you prefer dancing or playing sports?
Students | Playing sports | Dancing | Row totals
Male students | 0.25 | 0.27 | 0.52
Female students | 0.17 | 0.31 | 0.48
Column totals | 0.42 | 0.58 | 1

A.Joint frequency
B.Joint relative frequency
C.Marginal frequency
D.Marginal relative frequency

Answer 1

The entry 0.31 in the table represents the proportion of female students who prefer dancing. To describe this entry, we need to consider whether it represents a joint frequency or marginal frequency, and whether it is an absolute or relative frequency.

A joint frequency represents the number of times that two variables occur together, while a marginal frequency represents the total number of times that one variable occurs, regardless of the other variable.

Since the entry 0.31 represents the proportion of female students who prefer dancing, it is a marginal frequency for the variable "Dancing".

To determine whether it is an absolute or relative frequency, we need to consider whether it represents the actual count of female students who prefer dancing (an absolute frequency), or the proportion of all students who prefer dancing who are female (a relative frequency).

Since the entry 0.31 is a proportion of all students who prefer dancing who are female, it is a relative frequency.

Therefore, the term that best describes the entry of 0.31 is D. Marginal relative frequency.