Fasting Blood Sugar Values

1. What is the mean fasting blood sugar value for each group?
2. What is the median fasting blood sugar value for each group?
3. What is the mode fasting blood sugar value for each group?
4. What is the range of fasting blood sugar values for the Alpha Group?
5. What is the range of fasting blood sugar values for the Beta Group?
6. How stable is the range as a measure of variability? Why?
7. What statistical value represents the 50thpercentile?
8. The standard deviation (SD) for the Alpha FBS Group = 64.75. What do these values say about how the data vary around the mean for each group? Vary between groups? (See Standard Deviation text and Table 13-8 for help).
9. The standard deviation (SD) for Beta FBS Group = 193.25. What do these values say about how the data vary around the mean for each group? Vary between groups? (See Standard Deviation text and Table 13-8 for help).
10. If you had each patient’s fasting blood sugar value and age, what procedure will you use to make comparisons among unlike data?
11. If the data sets approximated a normal distribution, then what percentage of patients’ fasting blood sugar values would fall within two SDs of the mean?

SAMPLE SOLUTION

1. The mean is defined as the average of the number and can be obtained by adding all the numbers and then dividing by how many numbers they are (Shi et al., 2018).
   For the Alpha FBS Group, the mean fasting blood group is given as
   (95+100+125+175+250)/5 = 149
   For the Beta FBS Group, the mean fasting blood group can be obtained as
   (90+100+125+200+550)/5 = 213
2. The median is the middle value after arranging the values in a numerical order. For the Alpha FBS group, the numbers can be arranged as
   95, 100, 125,175, 250 and the middle number is 125.
   For the Beta FBS Group the values can be arranged as 90, 100,125,200, 550 which gives the median/middle number as 125.
3. Mode refers to the value that is most repeated. For both groups, there is no mode since there is no repeating value in the two data sets….