Question

The following table reports the fasting glucose levels of a sample of potential participants in a research study investigating the efficacy of a new insulin-type drug.

Patient	Fasting Glucose (mg/dL)	Patient	Fasting Glucose (mg/dL)
A	117	A	112
B	125	B	132
C	129	C	118
D	116	D	119
E	134	E	134
F	108	F	126
G	127	G	124

A) Calculate the mean, median, mode, and standard deviation for the group.
B) Are there any potential outliers that may be affecting the statistics calculated in part A?

Answer 1

For Group 1 -

Mean - 122.3

Median - 125

Mode - 108, 116, 117, 125, 127, 129, 134 (All values have only 1 count)

Standard deviation - 8.98

For Group 2 -

Mean - 123.6

Median - 124

Mode - 112, 118, 119, 124, 126, 132, 134 (All values have only 1 count)

Standard deviation - 7.87

B -

For group 1 -

Mean = 122.3

Std = 8.98

Outlier detected?	No
Significance level:	0.05 (two-sided)
Critical value of Z:	2.01

P.S - We can look up the critical vaue of Z at 0.05 significance level form Z table.

Row	Value	Z	Significant Outlier?
1	108.	1.59	Furthest from the rest, but not a significant outlier (P > 0.05).
2	116.	0.70
3	117.	0.59
4	125.	0.30
5	127.	0.53
6	129.	0.75
7	134.	1.31

For group 2 -

Mean = 123.6

Std = 7.87

Outlier detected?	No
Significance level:	0.05 (two-sided)
Critical value of Z:	2.01

Row	Value	Z	Significant Outlier?
1	112.	1.47	Furthest from the rest, but not a significant outlier (P > 0.05).
2	118.	0.71
3	119.	0.58
4	124.	0.05
5	126.	0.31
6	132.	1.07
7	134.	1.32

P.S - you can look up the p values for calculated Z values at 0.06 significance level from the normal distribution table