Question

Using these results, complete the table below and then use your results to answer the questions that follow. (Please remember to round all answers to two decimal places: 0.00 at each step.) (23 points)

	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

7. Complete the table below by calculating the relative performance ranges and then converting them to absolute performance.

Relative Performance Ranges

Really worse

worse

Typical

Better

Really better

Converted to Absolute Performance

Really worse worse Typical Better Really better

8. What is your interpretation of the performance of your class on this assessment? (4 points)

Answer 1

7) Relative performance ratings :  

Really worse	Worse	Typical	Better	Really better
C-	C+	B	A	A+

Absolute performance ratings :  

Really worse	Worse	Typical	Better	Really better
14-21	21-26	26-32	32-39	40+

8)

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.

Cheers!