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Answer :
To solve the problem of finding the mean number of hours students watch TV during a school week, follow these steps:
1. Collect the Data: The survey results of how many hours each of the 20 students watch TV are as follows:
- 5, 3, 6, 4, 7, 8, 5, 6, 7, 5, 6, 8, 7, 5, 4, 3, 5, 6, 4, 7
2. Calculate the Mean:
- First, add up all the hours of TV watched by the students. The total sum of these hours is 111.
- Next, divide the total sum by the number of students to find the average. Since there are 20 students, you calculate the mean as follows:
[tex]\[
\text{Mean} = \frac{111}{20} = 5.55
\][/tex]
3. Round to the Nearest Half Hour:
- The mean of 5.55 hours is then rounded to the nearest half hour. To do this, you consider the decimal part:
- If the decimal is less than 0.25, round down to the nearest integer.
- If the decimal is between 0.25 and 0.75, round to the nearest 0.5.
- If the decimal is 0.75 or higher, round up to the next integer.
- In this case, 5.55 rounds to the nearest half hour as 5.5 hours.
Thus, the mean number of hours, when rounded to the nearest half hour, is 5.5 hours.
1. Collect the Data: The survey results of how many hours each of the 20 students watch TV are as follows:
- 5, 3, 6, 4, 7, 8, 5, 6, 7, 5, 6, 8, 7, 5, 4, 3, 5, 6, 4, 7
2. Calculate the Mean:
- First, add up all the hours of TV watched by the students. The total sum of these hours is 111.
- Next, divide the total sum by the number of students to find the average. Since there are 20 students, you calculate the mean as follows:
[tex]\[
\text{Mean} = \frac{111}{20} = 5.55
\][/tex]
3. Round to the Nearest Half Hour:
- The mean of 5.55 hours is then rounded to the nearest half hour. To do this, you consider the decimal part:
- If the decimal is less than 0.25, round down to the nearest integer.
- If the decimal is between 0.25 and 0.75, round to the nearest 0.5.
- If the decimal is 0.75 or higher, round up to the next integer.
- In this case, 5.55 rounds to the nearest half hour as 5.5 hours.
Thus, the mean number of hours, when rounded to the nearest half hour, is 5.5 hours.
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