A sample of 392 adult travelers were shown a list of 6
different ecolabels, and asked "How familiar are you with
this ecolabel, on a scale of 1 (not familiar at all) to 5 (very
familiar)." The mean and standard deviation of the responses for
each ecolabel are provided in the table. Which of the ecolabels.
had the most variation in numerical responses? Explain.
Ecolabel
value of the
Ecolabel
Energy Star
TripAdvisor Greenleaders
Audubon International
US Green Building Council
Green Business Bureau
Green Key
Mean
4.436
3.567
2.407
2.282
2.245
2.011
had the most variation in numerical responses because it has the
Std. Dev.
0.823
1.383
1.441
1.386
1.393
1.298
Based on the information provided, the ecolabel with the most variation in numerical responses was TripAdvisor Greenleaders.
It has the largest standard deviation of the responses (Std. Dev. = 1.383).
A larger standard deviation means there is more variability or spread in the responses. The responses to TripAdvisor Greenleaders ranged from 1 to 5, showing a wider range compared to the other ecolabels.
Some key points to consider:
- TripAdvisor Greenleaders has the highest standard deviation, so it has the most variability/spread in the responses.
- A standard deviation of 1.383 indicates the responses were fairly spread out over the range of values from 1 to 5.
- In contrast, ecolabels like Energy Star (Std. Dev. = 0.823) had more concentrated responses clustered around the mean.
- The means also provide context, showing TripAdvisor Greenleaders was less familiar on average compared to ecolabels like Energy Star.
In summary, TripAdvisor Greenleaders exhibited the most variation in how familiar travelers were with that particular ecolabel. The range of responses, from 1 to 5, and the larger standard deviation supported this.
Please let me know if you need any clarification or have additional questions!