190k views
3 votes
The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home.

60-69 70-79 Over 79 Total Male 14 6 5 Female 6 5 4 Total

What is the relative frequency for males?

a. 23/40
b. 5/4
c. 8
d. 21/40 ​

2 Answers

10 votes

Final answer:

To calculate the relative frequency for males in a retirement home, sum the number of males across age groups and divide by the total number of residents. In the given data, the relative frequency is 25/40 or 5/8, which does not match any of the provided options.

Step-by-step explanation:

The question pertains to constructing and interpreting a contingency table for the frequency distribution of age and sex in a retirement home. To find the relative frequency for males, we must first get the total number of males by adding the frequencies across the male row: 14 (60-69 years) + 6 (70-79 years) + 5 (over 79) = 25 males. Then, to calculate their relative frequency, we divide by the grand total (if known) or the total of all observed males and females (if the grand total is unknown). As the grand total is not provided in the question, assuming that the total of observed males and females is the grand total, we add the frequencies of the females: 6 (60-69 years) + 5 (70-79 years) + 4 (over 79) = 15 females. Grand total becomes 25 males + 15 females = 40 residents. Therefore, the relative frequency for males is 25 (total males) / 40 (total residents), which simplifies to 5/8 or in fractional form presented in the options, 25/40. This matches with none of the options provided, indicating a possible error in the options or in the data provided.

User Nalan Madheswaran
by
6.3k points
9 votes

Answer:

the correct answer is 8

Step-by-step explanation:

User Stark Buttowski
by
6.5k points
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