Final answer:
The mean of the students' data set is approximately 8.56 hours of sleep per night, while the mean of the teachers' data set is approximately 6.7 hours of sleep per night. This suggests that, on average, students get more sleep than teachers.
Step-by-step explanation:
To find the mean of a data set, you need to add up all the values and then divide the sum by the total number of values. Let's start by finding the mean of the students' data set. Summing up the values: 7 + 6 + 8 + 9 + 8 + 9 + 10 + 10 + 10 = 77. Since there are 9 values in the data set, we can calculate the mean by dividing the sum by 9: 77 / 9 = 8.56 (rounded to two decimal places). Therefore, the mean of the students' data set is approximately 8.56 hours of sleep per night.
Next, let's find the mean of the teachers' data set. Summing up the values: 6 + 6 + 4 + 5 + 7 + 8 + 7 + 8 + 8 + 8 = 67. Since there are 10 values in the data set, we can calculate the mean by dividing the sum by 10: 67 / 10 = 6.7 (rounded to one decimal place). Therefore, the mean of the teachers' data set is approximately 6.7 hours of sleep per night.
The means tell us the average amount of sleep that students and teachers get each night. The mean of the students' data set (8.56) suggests that, on average, students get more sleep than the mean of the teachers' data set (6.7). This indicates that, based on this survey, students tend to get more sleep than teachers.