Consider the data table shown with values for five individuals measured in each of four groups (A, B, C, and D). We will conduct an ANOVA analysis of this.

$\begin{array}{c}
\text { Groups }\
\begin{array}{rrrr}
\text { A } & \text { B } & \text { C } & \text { D } \
6 & 7 & 9 & 11 \
8 & 10 & 11 & 14 \
10 & 11 & 12 & 15 \
12 & 12 & 13 & 16 \
14 & 15 & 15 & 19
\end{array}\end{array}$
-What are the means of the groups and overall mean?

Question

Consider the data table shown with values for five individuals measured in each of four groups (A, B, C, and D). We will conduct an ANOVA analysis of this.
​
 $\begin{array}{c}
\text { Groups }\
\begin{array}{rrrr}
\text { A } & \text { B } & \text { C } & \text { D } \
6 & 7 & 9 & 11 \
8 & 10 & 11 & 14 \
10 & 11 & 12 & 15 \
12 & 12 & 13 & 16 \
14 & 15 & 15 & 19
\end{array}\end{array}$ ​
-What are the means of the groups and overall mean?

Quizplus · Accepted Answer

The means of the groups A, B, C, and D are calculated by summing the values in each group and dividing by the number of values (5 in this case). For group A, the mean is (6+8+10+12+14)/5 = 50/5 = 10. For group B, it's (7+10+11+12+15)/5 = 55/5 = 11. For group C, it's (9+11+12+13+15)/5 = 60/5 = 12. For group D, it's (11+14+15+16+19)/5 = 75/5 = 15. The overall mean is calculated by summing all the values and dividing by the total number of values, which is 20. The sum of all values is (50+55+60+75) = 240, and 240/20 = 12. Therefore, the correct answer is D) 10, 11, 12, 15, and 12.

Consider the Data Table Shown with Values for Five Individuals