X X-M (X-M) 2 1 14 -15.85 251.22 2 16 -13.85 191.82 3 18 -11.85 140.42 4 20 -9.8
ID: 3376273 • Letter: X
Question
X
X-M
(X-M)2
1
14
-15.85
251.22
2
16
-13.85
191.82
3
18
-11.85
140.42
4
20
-9.85
97.02
5
23
-6.85
46.92
6
23
-6.85
46.92
7
25
-4.85
23.52
8
27
-2.85
8.12
9
28
-1.85
3.42
10
29
-0.85
0.72
11
30
0.15
0.02
12
31
1.15
1.32
13
32
2.15
4.62
14
36
6.15
37.82
15
36
6.15
37.82
16
39
9.15
83.72
17
40
10.15
103.02
18
41
11.15
124.32
19
42
12.15
147.62
20
47
17.15
294.12
?X= 597
? (X-M) = 0
? (X-M)2= 1644.55
1. What is the mean? (1 point) 29.85
2. What is the mode(s)? (2 points) 23/36
3. What is the median? (1 point) 29.50
4. What is the range? (1 point) 33.00
5. What is the variance? (1point) 86.56
6. What is the standard deviation? (1 point) 9.06
7. Using your answers from Part A, complete the table below by calculating the relative performance ranges and then converting them to absolute performance. (16 points)
Relative Performance Ranges
Really Worse
Worse
Typical
Better
Really Better
Converted to Absolute Performance
Really Worse
Worse
Typical
Better
Really Better
X
X-M
(X-M)2
1
14
-15.85
251.22
2
16
-13.85
191.82
3
18
-11.85
140.42
4
20
-9.85
97.02
5
23
-6.85
46.92
6
23
-6.85
46.92
7
25
-4.85
23.52
8
27
-2.85
8.12
9
28
-1.85
3.42
10
29
-0.85
0.72
11
30
0.15
0.02
12
31
1.15
1.32
13
32
2.15
4.62
14
36
6.15
37.82
15
36
6.15
37.82
16
39
9.15
83.72
17
40
10.15
103.02
18
41
11.15
124.32
19
42
12.15
147.62
20
47
17.15
294.12
?X= 597
? (X-M) = 0
? (X-M)2= 1644.55
Explanation / Answer
7) Relative performance ratings :
Absolute performance ratings :
On an overall, given that the maximum achievable score is 50, an average of 29.85 is quite representative of the whole class. Given that only 4 people scored above 40 and more than half the class got below 30, the class performance could be said to be Below Average. Given that most people scored in the typical range with a standard deviation of 9.06 from a score of 29.85. Another possibility could be that the assessment is a low scoring one inherently and that's mainly why the students have scored relatively low. The class isn't marked by many outliers or extreme values and the measures of data like mean, SD, etc. are representative of the whole class.
Really worse Worse Typical Better Really better C- C+ B A A+Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.