Sydney – LIS4273

Comparison of Results:

– Central Tendency:
Set #1 is centered around smaller values: mean = 4, median = 3, mode = 2, while Set #2 is centered around larger values: mean = 14, median = 13, mode = 12. This shows that Set #2 is a shifted version of Set #1, with all values about 10 units higher.

– Variation:
Both sets have the same spread. Their range, interquartile range, variance, and standard deviation are the same. This means the distribution shape is the same, but Set #2 is shifted upward.

– Interpretation:
Set #1 represents a lower scale dataset: values mostly between 2–5, with one outlier at 10. Set #2 follows the same pattern but is shifted upward: values between 12–15, with one outlier at 20. Both sets are equally consistent in terms of variation, but they differ in their overall level.