In order to study whether IQ level is related to birth order, data were collected from a sample of 540 students on their birth order (Oldest/In Between/Youngest) and their score on an IQ test. The data collected in this study would be best displayed using:

which one:

(a) a pie chart

(b) a histogram

(c) a scatterplot

(d) a two-way table

(e) side-by-side boxplots

If actual values given, a scatterplot. If just three categories of birth orders given, a histogram.

The data collected in this study, comparing birth order and IQ level, would be best displayed using (d) a two-way table. This type of table allows for the organization of the data by the two variables of interest, in this case, birth order and IQ test scores.

The data collected in the study, which involves birth order (Oldest/In Between/Youngest) and IQ scores of 540 students, can be best displayed using a specific type of graph or chart.

To determine the appropriate choice, we need to consider the type of data being collected and the research question being addressed.

In this case, we have categorical data for birth order (Oldest/In Between/Youngest) and numerical data for IQ scores. We want to examine the relationship between birth order and IQ level, which suggests that we need to compare the distribution of IQ scores across the different birth orders.

The most suitable option to display this type of data is (e) side-by-side boxplots. Boxplots allow us to compare the distribution of a quantitative variable (IQ scores) across different categories (birth order). The boxplot provides information about the minimum and maximum values, the median, and the spread of the data in an easily interpretable visual format.

By creating side-by-side boxplots, we will have one boxplot for each birth order category, allowing us to compare the medians and ranges of IQ scores between the Oldest, In Between, and Youngest birth order groups.

To create the side-by-side boxplots, we would plot birth order on the categorical x-axis and IQ scores on the numerical y-axis. The vertical axis represents the range of IQ scores, while the horizontal axis separates the birth order groups.

This type of graph is useful for visually comparing the distribution of IQ scores among different birth orders and examining any differences or similarities between them.

Scatterplot