You are conducting a study on the blood glucose levels of 9 patients who are on strict diets and exercise routines.To monitor the mean and range of the blood glucose levels of your patients, you take a blood glucose reading every day for each patient for 20 days.The results are shown below.
$$\begin{array} { l r c l l l }
\text { Day } & \text { Mean } & \text { Range } & \text { Day } & \text { Mean } & \text { Range } \
1 & 92.11 & 80 & 11 & 100.70 & 89 \
2 & 90.67 & 77 & 12 & 96.67 & 77 \
3 & 89.44 & 73 & 13 & 97.33 & 75 \
4 & 93.33 & 81 & 14 & 95.89 & 80 \
5 & 89.44 & 71 & 15 & 98.89 & 68 \
6 & 110.20 & 90 & 16 & 101.22 & 88 \
7 & 104.10 & 120 & 17 & 107.33 & 81 \
8 & 108.20 & 93 & 18 & 108.00 & 95 \
9 & 107.70 & 98 & 19 & 106.89 & 77 \
10 & 112.70 & 145 & 20 & 109.89 & 80
\end{array}$$
The centerline for your $\bar { x }$ chart is _________.
A)112.70
B)106.7
C)101.035
D)100
E)110

Question

You are conducting a study on the blood glucose levels of 9 patients who are on strict diets and exercise routines.To monitor the mean and range of the blood glucose levels of your patients, you take a blood glucose reading every day for each patient for 20 days.The results are shown below. 
$$\begin{array} { l r c l l l } 
\text { Day } & \text { Mean } & \text { Range } & \text { Day } & \text { Mean } & \text { Range } \
1 & 92.11 & 80 & 11 & 100.70 & 89 \
2 & 90.67 & 77 & 12 & 96.67 & 77 \
3 & 89.44 & 73 & 13 & 97.33 & 75 \
4 & 93.33 & 81 & 14 & 95.89 & 80 \
5 & 89.44 & 71 & 15 & 98.89 & 68 \
6 & 110.20 & 90 & 16 & 101.22 & 88 \
7 & 104.10 & 120 & 17 & 107.33 & 81 \
8 & 108.20 & 93 & 18 & 108.00 & 95 \
9 & 107.70 & 98 & 19 & 106.89 & 77 \
10 & 112.70 & 145 & 20 & 109.89 & 80
\end{array}$$
The centerline for your $\bar { x }$ chart is _________.
A)112.70
B)106.7
C)101.035
D)100
E)110

Quizplus · Accepted Answer

To find the centerline for the $\bar { x }$ chart, we need to calculate the average mean across all days. Adding up all the mean values and dividing by the number of days (20), we get:
$$Centerline = \dfrac{92.11+90.67+89.44+93.33+89.44+110.20+104.10+108.20+107.70+112.70+100.70+96.67+97.33+95.89+98.89+101.22+107.33+108.00+106.89+109.89}{20}$$
$$= 101.035$$
Therefore, the centerline for the $\bar { x }$ chart is 101.035. 
The best choice is (C).

You Are Conducting a Study on the Blood Glucose Levels