Question

Health Test In an investigation of a relationship between systolic blood pressure and diastolic blood pressure of adult females, which of the following graphs is most helpful: histogram; pie chart; scatterplot; stemplot; dot plot.

Short answer

A scatterplot is the most appropriate graph to identify the relationship between the systolic and diastolic blood pressures of females.

Step-by-step solution

Given information

The relationship between the systolic and diastolic blood pressure of females needs to be identified graphically.

Explain the choice of graph

Graphs are an essential tool to represent certain information about the given data.

Depending on the kind of data, the choice of graph differs. A correct choice of graph would be able to interpret the trends and patterns in the data clearly.

Few choices are:

Histogram: Represents continuous grouped data

Pie chart: Represents the relative proportion of categories of data through different sections of a pie

Scatterplot: Represents paired observations of two variables

Stemplot: Represents observations of quantitative form by splitting them into two parts

Dotplot: Represents each observation as a dot on the horizontal axis

Identify the appropriate graph for the given data

The two types of blood pressures are recorded in females. Thus, the data is quantitative and paired. When a relationship between two quantitative variables needs to be identified, a scatterplot is the best graph that can be used.

The pattern of the points on the scatterplot helps to identify whether there is an association between the two variables.

Here, the relationship between the systolic blood pressure and diastolic blood pressure of females is required to be assessed and depicted. Thus, a scatterplot would be the best graph to check if the systolic and diastolic blood pressure levels of females are related or not.