Module 3 assignemnt

 

1. Central Tendency

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

  • Mean = 4.0

  • Median = 3.0

  • Mode = 2

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

  • Mean = 14.0

  • Median = 13.0

  • Mode = 12

2. Variation

Set #1

  • Range = 8

  • IQR = 2.5

  • Variance = 8.33

  • Standard Deviation = 2.89

Set #2

  • Range = 8

  • IQR = 2.5

  • Variance = 8.33

  • Standard Deviation = 2.89

3. Comparison

Set #1 stays pretty low overall with an average of 4, a median of 3, and a mode of 2. Set #2 is higher across the board with an average around 14, a median of 13, and a mode of 12. Basically, Set #2 looks like Set #1 just shifted up by about 10 points.

The spread is the same in both sets though. They have the exact same range, IQR, variance, and standard deviation. That means the consistency of the data is identical, even though one set has smaller values and the other has larger ones.

So overall, the difference is just where the numbers sit. Set #1 clusters around lower values, while Set #2 clusters higher, but both are spread out the same way.

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