Use the following information to answer problem 1, parts a-e. Student Height (in
ID: 3048735 • Letter: U
Question
Use the following information to answer problem 1, parts a-e.
Student
Height (inches)
Number of work hours per week
1
55
40
2
68
0
3
69
40
4
72
25
5
74
35
6
64
36
7
67
0
8
71
50
9
74
0
10
65
31
(6 points) Question 21 Unsaved Problem 1. a ) (6 points) Determine the median hours worked per week across the sample of 10 students. Are the “0’s” included or excluded when determining the median? Why or why not?
Determine the median hours worked per week as if only students labeled 1-9 were in the sample.
Compute the mean height, using the correct notation to represent the sample mean.
Compute the mean number of hours worked per week.
Do you think the distribution of hours per week is skewed? Provide evidence to support your conclusion.
Student
Height (inches)
Number of work hours per week
1
55
40
2
68
0
3
69
40
4
72
25
5
74
35
6
64
36
7
67
0
8
71
50
9
74
0
10
65
31
Explanation / Answer
1) Median =(n+1)/2 th term =(9+1)/2 th term =5 th term
first sort values
0,0,0,25,35,36,40,40,50
Hence median=35
2) Mean height = 679/10 =67.9
3) mean number of hours worked per week.=257/10 =25.7
4)from (1) and (3)
mean < median we conclude that it is negative skewed distribution.