Can you explain how you got the 53rd? What number did you add or subtract ect to get the 53rd?
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?
formula rd=(n+1)/2. n is the number of students=105. Pluck into the formula you got (105+1)/2=53rd position. That is how you got the 53rd. Oobleck must not have understood what you were asking for. The rest Oobleck had already show you.
To find the average (mean) number of hours spent on the computer, you need to add up all the hours reported by the respondents and divide it by the total number of respondents. So let's calculate it step by step:
1) Number of hours spent on the computer:
1 hour: 1 respondent
2 hours: 3 respondents
3 hours: 11 respondents
4 hours: 17 respondents
5 hours: 20 respondents
6 hours: 24 respondents
7 hours: 16 respondents
8 hours: 8 respondents
9 hours: 5 respondents
Now, let's calculate the total sum of hours by multiplying each number of hours spent by the corresponding number of respondents and adding them up:
(1 hour * 1 respondent) + (2 hours * 3 respondents) + (3 hours * 11 respondents) + (4 hours * 17 respondents) + (5 hours * 20 respondents) + (6 hours * 24 respondents) + (7 hours * 16 respondents) + (8 hours * 8 respondents) + (9 hours * 5 respondents)
= 1 + 6 + 33 + 68 + 100 + 144 + 112 + 64 + 45
= 573
Now, divide the sum of hours (573) by the total number of respondents (105) to find the average:
Average (mean) = sum of hours / total respondents
= 573 / 105
≈ 5.45714
Rounded to one decimal point, the average number of hours spent on the computer is 5.5 hours.
2) To find the median number of hours spent on the computer, you need to arrange the number of hours in ascending order and then determine the middle value. In this case, we have:
1 hour, 2 hours, 3 hours, 4 hours, 5 hours, 6 hours, 7 hours, 8 hours, 9 hours
Since there is an odd number of values (9), the median is the middle one. In this case, the median number of hours spent on the computer is 5 hours.
As I told you 8 hours before you posted this repeat whine,
The first 52 values are
1*1 -- 1
2*3 -- 1+3 = 4
3*11 -- 4+11 = 15
4*17 -- 15+17 = 32
5*20 -- 32+20 = 52
so the next one is a 6