To arrange the names in order starting with the person who generally spends the most hours watching TV and ending with the person who generally spends the least hours watching TV, we first need to calculate the mean number of hours each person watches TV during the week.
Here are the steps:
1. Calculate the Mean:
- First, sum up the total number of hours watched by each person during the week.
- Then, divide the total by the number of days (7 days).
2. Calculate for Lucy:
- Total hours watched: [tex]\( 7 + 5 + 6 + 7 + 6 + 8 + 10 = 49 \)[/tex]
- Mean = [tex]\( \frac{49}{7} = 7.0 \)[/tex]
3. Calculate for Dan:
- Total hours watched: [tex]\( 4 + 3 + 2 + 4 + 3 + 7 + 5 = 28 \)[/tex]
- Mean = [tex]\( \frac{28}{7} = 4.0 \)[/tex]
4. Calculate for Terry:
- Total hours watached: [tex]\( 3 + 2 + 1 + 4 + 2 + 4 + 5 = 21 \)[/tex]
- Mean = [tex]\( \frac{21}{7} = 3.0 \)[/tex]
5. Calculate for Jenny:
- Total hours watched: [tex]\( 3 + 5 + 4 + 5 + 4 + 6 + 8 = 35 \)[/tex]
- Mean = [tex]\( \frac{35}{7} = 5.0 \)[/tex]
6. Arrange in order of the mean hours watched:
- Lucy: 7.0 hours
- Jenny: 5.0 hours
- Dan: 4.0 hours
- Terry: 3.0 hours
So, the order starting with the person who generally spends the most hours watching TV to the person who generally spends the least hours watching TV is:
Lucy, Jenny, Dan, Terry
