Adv Stats #3

Here is the results of the two sets. This was a very interesting assignment, love to see where this will go next.

Set #1: 10, 2, 3, 2, 4, 2, 5

• Mean: 4.0
• Median: 3.0
• Mode: 2
• Range: 8
• Interquartile Range (IQR): 2.5
• Variance: 8.33
• Standard Deviation: 2.89

Set #2: 20, 12, 13, 12, 14, 12, 15

• Mean: 14.0
• Median: 13.0
• Mode: 12
• Range: 8
• Interquartile Range (IQR): 2.5
• Variance: 8.33
• Standard Deviation: 2.89

Comparison and Discussion:

• Central Tendency:
  • Both sets have different means and medians, reflecting their different average levels. Set #1 has a lower mean and median, indicating lower central values compared to Set #2.
  • The mode of Set #1 is 2, while for Set #2, it’s 12. This shows the most frequent occurrence in each set.
• Variation:
  • Interestingly, both sets have the same range, variance, and standard deviation. This suggests that despite their different central tendencies, the spread and dispersion of the data are quite similar.
  • The IQR for both sets is 2.5, indicating a similar spread in the middle 50% of the data.
• Overall Analysis:
  • Set #1 and Set #2 show significant differences in their central values (mean, median, mode), but similarities in their measures of spread (range, IQR) and dispersion (variance, standard deviation).
  • This comparison illustrates how sets of data can have similar variation characteristics but differ significantly in terms of central tendency.