High School

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Mrs. Perez collects data from 12 students to answer three different questions. Which data set has the most variability?

1. How many minutes do students spend playing video games each day?
- 30, 60, 60, 0, 20, 75, 30, 15, 30, 0, 25

2. How many hours of sleep do students get each night?
- 8, 7, 8, 9, 7, 8, 8, 8, 10, 8, 9, 8

3. How many days each week do students buy school lunch?
- 0, 3, 5, 5, 2, 3, 1, 0, 5, 5, 2, 1

Answer :

The data set on minutes spent playing video games shows the most variability with a range of 75, indicating the widest spread of values.

To determine which data set has the most variability, you can calculate the measures of variability such as the range, variance, or standard deviation for each data set. Let's calculate the range for each data set since it's the simplest measure of variability:

Video game minutes:

Range = Max value - Min value = 75 - 0 = 75

Hours of sleep:

Range = Max value - Min value = 10 - 7 = 3

Days of school lunch:

Range = Max value - Min value = 5 - 0 = 5

Comparing the ranges, we see that the data set with the most variability is the "How many minutes do students spend playing video games each day?" data set, with a range of 75.

Complete Question:

Mrs.perez collects data from 12 students to answer three different questions which data set has the most variability.

Data sets:

1. How many minutes do students spend playing video games each day?

30, 60, 60, 0, 20, 75, 30, 15, 30, 0, 25

2. How many hours of sleep do students get each night?

8,7,8,9,7,8,8,8,10 8,9,8

3. How many days each week do students by school lunch?

0,3,5,5,2,3,1,0,5,5,2,1

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