Question

L1	L2	L3	L4	L5	L6
4.7	72	4.5	2.1	21	9.9
3.2	77	5.8	1.3	16	11.3
5.1	65	3.7	2.8	10	11.4
4.7	85	4.9	1.5	10	9
3.0	68	4.3	1.0	11	10.1
3.4	83	4.7	8.2	9	8.2
4.4	73	5.8	1.9	13	8.9
3.5	79	3.2	9.5	12	9.9
4.5	72	3.0	3.2	11	10.5
5.8	81	5.1	1.3	29	8.6
3.7	79	3.6	4.4	10	7.8
4.9	91	4.3	3.8	14	10.8
5.4	69	3.6	2.7	27	8.4
3.6	67	5.4	8.0	10	9.6
4.3	82	4.7	1.9	11	9.9
3.0	66	3.0	4.9	11	8.4
5.1	77	3.4	4.5	12	9.0
4.3	66	4.3	1.5	19	9.1

1. Give the Summary statistics for each list:

	L1	L2	L3	L4	L5	L6
Sample mean
Sample standard deviation
n
Min
Q1
Med (Q2)
Q3
Max

Compare the mean and the median for each sample. List any samples that appear to be significantly skewed and explain how comparing the mean and median indicate this skewness.

Answer 1

The Summary statistics for each list:

	L1	L2	L3	L4	L5	L6
Sample mean	4.256	75.11	4.294	3.583	14.22	9.489
Sample standard deviation	0.851	7.58	0.901	2.593	5.97	1.063
n	18	18	18	18	18	18
Min	3	65	3	1	9	7.8
Q1	3.525	68.25	3.600	1.600	10.25	8.675
Med (Q2)	4.350	75.00	4.300	2.750	11.50	9.350
Q3	4.850	80.50	4.850	4.475	15.50	10.050
Max	5.8	91	5.8	9.5	29	11.4

Compare the mean and the median for each sample. List any samples that appear to be significantly skewed and explain how comparing the mean and median indicate this skewness.

	Reason	Skewness
L1	Mean<Median	Left Skewed (Negative skewness)
L2	Mean>Median	Right Skewed (Positive Skewness)
L3	Mean>Median	Right Skewed (Positive Skewness)
L4	Mean<Median	Left Skewed (Negative skewness)
L5	Mean>Median	Right Skewed (Positive Skewness)
L6	Mean>Median	Right Skewed (Positive Skewness)