EXPLANATION:
Required;
We are required to create two data sets, each with 7 data points and a mean of 10.
Also, to draw a box plot for the data set.
Step-by-step solution;
We shall randomly take 7 numbers whose sum is 70. We know that 70 divided by 7 is 10, therefore the average for these 7 numbers is already known as required.
The data set therefore would be;
PART A:
[tex]5,8,10,11,11,12,13[/tex]
The mean shall be;
[tex]\begin{gathered} Mean=\frac{5+8+10+11+11+12+13}{7} \\ \\ Mean=\frac{70}{7} \\ \\ Mean=10 \end{gathered}[/tex]
The box plot would now appear as follows;
PART B:
[tex]4,8,9,9,13,11,16[/tex]
The mean shall be;
[tex]\begin{gathered} Mean=\frac{4+8+9+9+11+13+16}{7} \\ \\ Mean=\frac{70}{7} \\ \\ Mean=10 \end{gathered}[/tex]
The box plot would now appear as follows;
