In order to study whether there is a relationship between gender and age at marriage, 50 couples were randomly selected and the age of the bride and groom were recorded. Which of the following would be a meaningful display of the data from this study?

(A) Side-by-side boxplots

(B) A scatterplot

(C) A histogram

(D) A pie chart

(E) A two-way table

Option A is correct.

The most meaningful way to display data from a study to check the relationship between gender and age of marriage.

Step-by-step explanation:

Boxplots are powerful visual representations used to display the distribution of numerous quantitative variables along with the categorical variable.

When the quantitative data (age) from two or more categorical variables (gender; male or female) is now to be compared, with the distribution and relationships between categorical and quantitative variables are to be studied, putting the boxplots side by side beside each other makes it easiest to study.

Side-by-side boxplots are normally used to compare a number of groups of quantitative data.

Regardless of the sample size, side by side boxplots allow us to read off all the important information from a set of raw data at first glance.

It is the most appropriate way to present data for this study.

- A scatter plot would have too rough an interface with the data becoming more difficult to make sense out of as the sample sizes increase.

- A histogram and a pie chart becomes harder to represent with as sample size increases too, it'll be too much data to analyse if the data is presented in this form.

- A two way table is appropriate to keep the data firstly in raw form. Keep the age data for the male gender in one table and that for the female gender on the other. But, it doesn't directly show the relationship between these categorical variables and the quantitative variables, nor does it show the distribution of data.

Also, as the sample size increases, it becomes harder to keep up with information presented in this manner too.