To calculate the average of the means and the ranges of the snow cone sales for Justin, Laycee, and Daisy, we need to follow these steps:
1. Calculate the mean for each vendor:
Justin's Sales:
- Sales: 73, 77, 152, 205, 278, 158
- Mean = (73 + 77 + 152 + 205 + 278 + 158) / 6
- Mean = 943 / 6 = 157.1667 (approximately 157.17)
Laycee's Sales:
- Sales: 85, 155, 72, 235, 243, 180
- Mean = (85 + 155 + 72 + 235 + 243 + 180) / 6
- Mean = 970 / 6 = 161.6667 (approximately 161.67)
Daisy's Sales:
- Sales: 92, 70, 56, 155, 155, 200
- Mean = (92 + 70 + 56 + 155 + 155 + 200) / 6
- Mean = 728 / 6 = 121.3333 (approximately 121.33)
2. Calculate the range for each vendor:
Justin's Sales:
- Range = Max - Min = 278 - 73 = 205
Laycee's Sales:
- Range = Max - Min = 243 - 72 = 171
Daisy's Sales:
- Range = Max - Min = 200 - 56 = 144
3. Calculate the average of the means and the average of the ranges:
Average of the means:
- Average Mean = (157.17 + 161.67 + 121.33) / 3
- Average Mean = 440.17 / 3 = 146.72 (approximately 146.72)
Average of the ranges:
- Average Range = (205 + 171 + 144) / 3
- Average Range = 520 / 3 = 173.3333 (approximately 173.33)
Summary:
- Average of the Means: approximately 146.72
- Average of the Ranges: approximately 173.33
Comparing this to the provided responses, we find:
A The average of the mean is 146 and the range is 173 for the sales of the snow cones.
B The average of the mean is 173 and the range is 71 for the sales of the snow cones.
C The average of the mean is 198 and the range is 83 for the sales of the snow cones.
D The average of the mean and the range cannot be determined.
The closest response based on our calculations is:
A The average of the mean is 146 and the range is 173 for the sales of the snow cones.
1 answer