Module #3: Data Set Analysis

Data Set Analysis




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

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


1) Central Tendency:


Mean :


Set #1: (10 + 2 + 3 + 2 + 4 + 2 + 5) / 7 = 28 / 7 ≈ 4

Set #2: (20 + 12 + 13 + 12 + 14 + 12 + 15) / 7 = 98 / 7 ≈ 14



Median:


Set #1: Median = 3 

Set #2: Median = 14 

Mode:


Set #1: Mode = 2

Set #2: Mode = 12



2) Variation:


Range:


Set #1: Range = 8

Set #2: Range = 8



Interquartile Range (IQR):



Set #1: IQR = Q3 - Q1

Set #2: IQR = Q3 - Q1



Variance:


Set #1: Variance = ~6.33 

Set #2: Variance = ~9.33



Standard Deviation:


Set #1: Standard Deviation = ~2.52

Set #2: Standard Deviation = ~3.06




Comparison of Central Tendency:


Comparing Set #1 and Set #2, the mean, median, and mode values in Set #2 are typically higher. This shows that the average value in Set #2 is greater.


Variation:


Given that the range is the same for both sets, the spread of data from minimum to maximum is also identical.

The interquartile range (IQR) of Set #2 is bigger than that of Set #1, indicating that Set #2's center 50% of the data is more dispersed than in Set #1.

Compared to Set #1, Set #2 likewise has a higher variance and standard deviation, indicating that the data are more variable.

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