Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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)

---

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.)

---

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

---

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.

---

Please ensure your calculations are accurate and complete.

Sagot :

GinnyAnswer
### Part A: Measures of Center
1. Mean:
- To find the mean, add up all the values and divide by the number of values.

Mountain View School:
The class sizes are: 19, 18, 12, 10, 20, 21, 23, 24, 24, 25, 25, 26, 2.
Mean = [tex]\( \frac{19 + 18 + 12 + 10 + 20 + 21 + 23 + 24 + 24 + 25 + 25 + 26 + 2}{13} \approx 19.15 \)[/tex].

Bay Side School:
The class sizes are: 5, 6, 8, 10, 12, 14, 15, 16, 18, 20, 20, 22, 23, 25, 42.
Mean = [tex]\( \frac{5 + 6 + 8 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 20 + 22 + 23 + 25 + 42}{15} \approx 17.07 \)[/tex].

2. Median:
- To find the median, arrange the numbers in order and find the middle value.

Mountain View School:
Sorted class sizes: 2, 10, 12, 18, 19, 20, 21, 23, 24, 24, 25, 25, 26.
Since there are 13 numbers, the median is the 7th value.
Median = 21.

Bay Side School:
Sorted class sizes: 5, 6, 8, 10, 12, 14, 15, 16, 18, 20, 20, 22, 23, 25, 42.
Since there are 15 numbers, the median is the 8th value.
Median = 16.

### Part B: Measures of Variability
1. Range:
- The range is the difference between the maximum and minimum values.

Mountain View School:
Range = 26 - 2 = 24.

Bay Side School:
Range = 42 - 5 = 37.

2. Standard Deviation:
- The standard deviation measures how spread out the numbers are.

Mountain View School:
Standard Deviation ≈ 6.86

Bay Side School:
Standard Deviation ≈ 8.96

### Part C: Decision for Larger Class Size
If you are interested in a larger class size, Mountain View School would be a better choice. This conclusion is based on the mean class sizes, where Mountain View School has a higher mean (19.15) compared to Bay Side School (17.07). The higher average indicates that on average, the class sizes in Mountain View School are larger.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.