Question

92	99	96	94	94
94	90	95	90	89
89	80	83	88	88

1.  What is the n?   __________

2.  What is ∑x ? __________

3.  What is ∑x²? __________

4.  What is (∑x)²? __________

5.  What is the range?  __________

6.  What is the mean?  __________

7.  What is the median?  __________

8.  What is the mode?  __________

9.  What is the variance?  __________

10.  What is the standard deviation?  __________

11.  If Kara scored a 90 (x)….What is her Z-score?  __________

12.  If Sara scored a 95….What is her T-score?  __________

13.  Mark scored an 88 (one of the scores in the table above).  Answer the following:

What is his percentile? (show your work using a histogram)…hand calculate and scan your                work)  __________

What is his z-score _____________

What is his mean _____________

What is his standard deviation ________________

What percentage of people scored below Mark?______________________________________

                  You must use the z table and ahistogramto answer

What percentage of people scored higher than Mark? _________________________________

                  You must use the z table and ahistogramto answer

14.  What percentage of people scored between 96 and 83? ___________________________________

You must use the z table and a histogramto answer

15.  Distinguish between norm-referenced evaluation and criterion-referenced evaluation

procedures.

16.  Do you want your health evaluated on a norm-referenced or criterion-referenced basis?

Briefly explain why.

17. Provide an example of a criterion-referenced standard. You may not use an example

that was used in class.

Answer 1

1. Here n is 15

2.

3.

4.

5. The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

80   83   88   88   89   89   90   90   92   94   94   94   95   96   99   

The lowest value is 80.

The highest value is 99.

The range = 99 - 80 = 19.

6.Mean is

7. The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

80   83   88   88   89   89   90   90   92   94   94   94   95   96   99   

So, the median is 90 .

8. The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

80   83   88   88   89   89   90   90   92   94   94   94   95   96   99   

We see that the mode is 94 .

9.

Create the following table.

data	data-mean	(data - mean)2
92	1.2667	1.60452889
99	8.2667	68.33832889
96	5.2667	27.73812889
94	3.2667	10.67132889
94	3.2667	10.67132889
94	3.2667	10.67132889
90	-0.7333	0.53772889
95	4.2667	18.20472889
90	-0.7333	0.53772889
89	-1.7333	3.00432889
89	-1.7333	3.00432889
80	-10.7333	115.20372889
83	-7.7333	59.80392889
88	-2.7333	7.47092889
88	-2.7333	7.47092889

10.