For this assignment, I will be examining the following two sets of data that each consist of 7 observations.
Set #1: 10, 2, 3, 2, 4, 2, 5
Set #2: 20, 12, 13, 12, 14, 12, 15
For these sets, I will compute the mean, median, and mode under Central Tendency as well as compute the range, interquartile, variance, and standard deviation under Variation. Lastly, I will compare the results between Set #1 and Set #2 by discussing the differences between the two sets.
Question 1:
Compute the mean, median, and mode under Central Tendency for both sets.
Set #1
Set #2
Question 2:
Compute the range, interquartile, variance, and standard deviation under Variation for both sets.
Set #1
Set #2
Question 3:
Compare the results between Set #1 and Set #2 by discussing the differences between the two sets.
To begin this discussion about the differences between Set1 and Set2, we can first see differences beginning to arise when we look at the results of Set1's and Set2's mean and median. Naturally, these two sets will render differing results because the vectors contain different values and are thus, not alike.
Moving on to the mode, Set1 and Set2 are both classified as numeric by R because it seems R was unable to find a mode in either dataset.
As for the range, both Set1 and Set2 produce differing results because once again, the two datasets contain different numeric values. In other words, the largest value in Set1 is 10 while the largest value in Set2 is 20. However, when we subtract the max value from the min values in both Set1 and Set2, both datasets result in a range of 8.
Transitioning to the interquartile and variance calculation, we can note that the outputs of both sets are identical. Lastly, with the standard deviation of Set1 and Set2, the outputs are once again identical.
~ Katie
