Find the mean number of hours for these students: 7, 7, 11, 6, 9, 14, 11. If necessary, round your answer to the nearest tenth.
Understand the Problem
The question is asking to calculate the mean number of hours that 7 students reported watching television last week, based on the provided numbers. We'll add the numbers together and then divide by the number of students to find the mean.
Answer
$9.3$
Answer for screen readers
The mean number of hours the students watched television last week is approximately $9.3$ hours.
Steps to Solve
- Sum the Responses
First, add the hours reported by each of the 7 students: $$ 7 + 7 + 11 + 6 + 9 + 14 + 11 = 65 $$
- Count the Number of Students
Confirm the number of students, which is 7.
- Calculate the Mean
Divide the total hours by the number of students to find the mean: $$ \text{Mean} = \frac{65}{7} \approx 9.2857 $$
- Round the Answer
Round the mean to the nearest tenth: $$ \text{Rounded Mean} \approx 9.3 $$
The mean number of hours the students watched television last week is approximately $9.3$ hours.
More Information
Finding the mean (average) is a common method used in statistics to summarize a set of data. It involves summing all values and dividing by the count of values.
Tips
- Miscounting the Number of Students: Ensure you accurately count all responses. Double-check that you've included all numbers.
- Rounding Too Early: Always calculate the mean first before rounding to avoid inaccuracies in the final answer.
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