Question

mrs. perez collects data from 12 students to answer three different questions. which data set has the most variability? how many minutes do students spend playing video games each day? 30, 60, 60, 0, 20, 75, 30, 15, 0, 30, 0, 25 how many days each week do students buy school lunch? 0, 3, 5, 5, 2, 3, 1, 0, 5, 5, 2, 1 how many hours of sleep do students get each night? 8, 7, 8, 9, 7, 8, 8, 8, 10, 8, 9, 8

Explanation:

Step1: Find the range of each data set

The range is calculated as \( \text{Range}=\text{Max}-\text{Min} \).
For the video - games data set: \( \text{Max} = 75 \), \( \text{Min}=0 \), so \( \text{Range}=75 - 0=75 \).
For the school - lunch data set: \( \text{Max}=5 \), \( \text{Min}=0 \), so \( \text{Range}=5 - 0 = 5 \).
For the sleep data set: \( \text{Max}=10 \), \( \text{Min}=7 \), so \( \text{Range}=10 - 7=3 \).

Answer:

The data set "How many minutes do students spend playing video games each day?" has the most variability.