Question

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

Sky View School Riverside School
0 5, 6, 9
9, 7, 2, 0 1 0, 2, 4, 5, 6, 7
8, 7, 6, 5, 5, 5, 4, 3, 1, 0 2 0, 0, 2, 3, 5
0 3
4 2
Key: 2 | 1 | 0 means 12 for Sky View and 10 for Riverside


Part A: Calculate the measures of center. Show all work. (5 points)

Part B: Calculate the measures of variability. Show all work. (5 points)

Part C: If you are interested in a larger class size, which school is a better choice for you? Explain your reasoning. (2 points)

Answer 1

Part A:
Sky View School:
- Mean: (1*12 + 2*3 + 3*1 + 4*1 + 5*3 + 6*1 + 7*3 + 8*1 + 9*4) / 15 = 5.6
- Median: (5+5)/2 = 5
- Mode: 5

Riverside School:
- Mean: (1*10 + 2*2 + 3*1 + 4*1 + 5*2 + 6*0 + 7*2 + 8*0 + 9*0) / 10 = 3.3
- Median: (4+5)/2 = 4.5
- Mode: 0, 2, 5

Part B:
Sky View School:
- Range: 9 - 0 = 9
- Interquartile Range: Q3 - Q1 = 8 - 2 = 6
- Standard Deviation: 2.6

Riverside School:
- Range: 7 - 0 = 7
- Interquartile Range: Q3 - Q1 = 5 - 2 = 3
- Standard Deviation: 2.1

Part C:
If you are interested in a larger class size, Riverside School is a better choice because the mean and median class size is smaller than Sky View School.