Question

.

Here are scores for the twenty faculty members who completed the assessment:

40	31	29	30	27
42	20	41	25	36
18	47	14	23	39
23	32	28	36	16

	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
Total	597	0.00	1644.55
	Mean	29.85

. 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

8. What is your interpretation of the performance of your class on this assessment?

HELP WITH 7 & *!!!!

Answer 1

7)

We have create 5 class based on the data to categorize them into 5 performance ranges:

Performance Ranges	Class	Absolute Frequency	Relative Frequency
Really Worse	13-19	3	0.15
Worse	20-26	4	0.2
Typical	27-33	6	0.3
Better	34-40	4	0.2
Really Better	41-47	3	0.15
		20

Relative thus can be as:

Really Worse	Worse	Typical	Better	Really Better
0.15	0.2	0.3	0.2	0.15

Absolute thus can be represented as:

Really Worse	Worse	Typical	Better	Really Better
13-19	20-26	27-33	34-40	41-47

8) As we can most of the people are in typical/average category and relative performance above and below typical are exactly same. It means performance of the class is normally distributed. We can say there are no outliers and class is true representative of means and standard deviation.

Please revert back in case of any type of doubt.