Data, Sampling, and Variation in Data and Sampling · Exercise 22

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.
$$\begin{array}{cccc}\text{Hours Played per Week}& \text{Frequency}& \text{Relative Frequency}& \text{Cumulative Relative Frequency}\\ \text{0–2}& \text{26}& \text{0.17}& \text{0.17}\\ \text{2–4}& \text{30}& \text{0.20}& \text{0.37}\\ \text{4–6}& \text{49}& \text{0.33}& \text{0.70}\\ \text{6–8}& \text{25}& \text{0.17}& \text{0.87}\\ \text{8–10}& \text{12}& \text{0.08}& \text{0.95}\\ \text{10–12}& \text{8}& \text{0.05}& \text{1}\end{array}$$
$$\begin{array}{cccc}\text{Hours Played per Week}& \text{Frequency}& \text{Relative Frequency}& \text{Cumulative Relative Frequency}\\ \text{0–2}& \text{48}& \text{0.32}& \text{0.32}\\ \text{2–4}& \text{51}& \text{0.34}& \text{0.66}\\ \text{4–6}& \text{24}& \text{0.16}& \text{0.82}\\ \text{6–8}& \text{12}& \text{0.08}& \text{0.90}\\ \text{8–10}& \text{11}& \text{0.07}& \text{0.97}\\ \text{10–12}& \text{4}& \text{0.03}& \text{1}\end{array}$$

Researcher A concludes that most students play video games between four and six hours each week. Researcher B concludes that most students play video games between two and four hours each week. Who is correct?

OpenStax, Introductory Statistics 2e · §1.2 Data, Sampling, and Variation in Data and Sampling · Exercise 22