A recent survey asks 105 students, How many hours do you spend on the computer in a typical day? Of the 105 respondents, 1 said 1hour, 3 said 2 hours, 11 said 3 hours, 17 said 4 hours, 20 said 5 hours, 24 said 6 hours, 16 said 7 hours, 8 said 8 hours, 5 said 9 hours.
1) What is the average (mean) number of hours spent on the computer? Round your answer to one decimal point.
2) What is the median number of hours spent on the computer?
(1) multiply each time by how many said it, add them all up, and divide by the total number of students. Review weighted averages.
(2) sort all the times, then pick the middle value
Post your work if you get stuck
There are 1+3+11+17+20+24+16+8+5 = 105 scores
So if they add up to 573, then the mean is 573/105
Since they are ALL less than 10, your answer of 10.8 should have been a big red flag that something was wrong
The median is the 53rd one -- it's a 6
Can you explain how you got the 53rd and it is equal a 6?
To find the answers to these questions, we need to calculate the average (mean) and median of the given data.
1) To calculate the average number of hours spent on the computer, we need to add up all the values and divide by the total number of respondents.
1 hour: 1
2 hours: 3
3 hours: 11
4 hours: 17
5 hours: 20
6 hours: 24
7 hours: 16
8 hours: 8
9 hours: 5
Total number of respondents = 1 + 3 + 11 + 17 + 20 + 24 + 16 + 8 + 5 = 105
The sum of all the values = (1 * 1) + (3 * 2) + (11 * 3) + (17 * 4) + (20 * 5) + (24 * 6) + (16 * 7) + (8 * 8) + (5 * 9) = 415
Average number of hours spent on the computer = sum of all values / total number of respondents = 415 / 105 ≈ 3.95
Rounded to one decimal point, the average number of hours spent on the computer is approximately 3.9.
2) To find the median number of hours spent on the computer, we first need to arrange the values in ascending order.
1, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9
Since the total number of respondents is odd (105), the median will be the middle value.
The middle value is the 53rd value, which is 5 (when counting from the left).
So, the median number of hours spent on the computer is 5.
Are you mean like this
1)
1*1=1
2*3=6
3*11=33
4*17=68
5*20=100
6*24=144
7*16=112
8*8=64
9*5=45
---------
=573/53=10.8
2)
1,2,3,4,5,6,7,8,9
=5