Data, Sampling, and Variation in Data and Sampling · Exercise 23

Use the following data to answer the next five exercises: Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data:
$$\begin{array}{cccc}\text{Hours Played per Week}& \text{Frequency}& \text{Relative Frequency}& \text{Cumulative Relative Frequency}\\ \text{0–2}& \text{26}& \text{.17}& \text{.17}\\ \text{2–4}& \text{30}& \text{.20}& \text{.37}\\ \text{4–6}& \text{49}& \text{.33}& \text{.70}\\ \text{6–8}& \text{25}& \text{.17}& \text{.87}\\ \text{8–10}& \text{12}& \text{.08}& \text{.95}\\ \text{10–12}& \text{8}& \text{.05}& \text{1}\end{array}$$
$$\begin{array}{cccc}\text{Hours Played per Week}& \text{Frequency}& \text{Relative Frequency}& \text{Cumulative Relative Frequency}\\ \text{0–2}& \text{48}& \text{.32}& \text{.32}\\ \text{2–4}& \text{51}& \text{.34}& \text{.66}\\ \text{4–6}& \text{24}& \text{.16}& \text{.82}\\ \text{6–8}& \text{12}& \text{.08}& \text{.90}\\ \text{8–10}& \text{11}& \text{.07}& \text{.97}\\ \text{10–12}& \text{4}& \text{.03}& \text{1}\end{array}$$

Suppose you were asked to present the data from researchers A and B in an oral presentation. When would a pie graph be appropriate? When would a bar graph more desirable? Explain which features you would point out on each type of graph and what potential display problems you would try to avoid.

This is an open-ended exercise: its source gives no single answer.

OpenStax, Statistics · §1.2 Data, Sampling, and Variation in Data and Sampling · Exercise 23