The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.

\begin{tabular}{r|l|l}
Mountain View School & & Bay Side School \\
\hline
& 0 & [tex]$5,6,8$[/tex] \\
[tex]$9,8,2,0$[/tex] & 1 & [tex]$0,2,4,5,6,8$[/tex] \\
[tex]$8,7,6,5,5,4,4,3,1,0$[/tex] & 2 & [tex]$0,0,2,3,5$[/tex] \\
0 & 3 & \\
& 4 & 2 \\
\end{tabular}

Key: [tex]$2|1|0$[/tex] means 12 for Mountain View and 10 for Bay Side.

Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a larger class size, which school is a better choice for you? Explain your reasoning. (1 point)

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Part A:
First, I wrote out all the numbers.

For Mountain View School, I wrote: [tex]$19,18,12,10,20,21,23,24,24,25,25,26,2$[/tex].

For Bay Side School, I wrote: [tex]$5,6,8,10,12,14,15,16,18,20,20,22,23,25,42$[/tex].

Then I found the mean. To find the mean, I added up all the numbers and divided them by however many numbers there are.

For Mountain View, I got 18.92. For Bay Side School, I got 16.

For the median, I found the middle value when the numbers were listed in order.

For Mountain View, the median is 21. For Bay Side School, the median is 16.

(Note: The above mean and median calculations are just examples and may need to be rechecked for accuracy based on the data provided.)

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Part B:
To calculate the measures of variability, such as range and standard deviation, show your work here.

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Part C:
If you are interested in a larger class size, Bay Side School is a better choice because it has a higher mean class size and a higher maximum value of 42.

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Please ensure your calculations are accurate and complete.