To analyze the data for both companies, let's begin by summarizing the production counts for each:
Paper Giant
- 653
- 647
- 651
- 658
- 655
Wipe It Clean
- 756
- 582
- 734
- 542
- 784
We'll calculate the median and the average for both companies, as well as the variation.
Step 1: Finding the Median
For Paper Giant:
- Ordered: 647, 651, 653, 655, 658
- Median: 653
For Wipe It Clean:
- Ordered: 542, 582, 734, 756, 784
- Median: 734
Step 2: Finding the Average
For Paper Giant: Average = (653 + 647 + 651 + 658 + 655) / 5 = 664.8
For Wipe It Clean: Average = (756 + 582 + 734 + 542 + 784) / 5 = 679.6
Step 3: Assessing Variation
To determine which company has more variation, we can observe the range:
- Paper Giant: Range = 658 - 647 = 11
- Wipe It Clean: Range = 784 - 542 = 242
Now we can analyze the answer choices based on our calculations:
A. The workers at Wipe It Clean are more consistent than the workers at Paper Giant.
- This is false, as Paper Giant has a lower variation than Wipe It Clean.
B. Wipe It Clean shows a wider variation in the numbers of paper towels produced than Paper Giant.
- This is true, as Wipe It Clean has a range of 242 compared to Paper Giant's range of 11.
C. On average, Paper Giant produces more paper towels than Wipe It Clean.
- This is false. The average production for Wipe It Clean (679.6) is greater than that of Paper Giant (664.8).
D. The data for Paper Giant has a higher median than the data for Wipe It Clean.
- This is false. The median for Paper Giant (653) is lower than that of Wipe It Clean (734).
Based on the analysis, the correct inference is:
B. Wipe It Clean shows a wider variation in the numbers of paper towels produced than Paper Giant.
1 answer