Sorting the data in ascending order

WEEK 4 2ND DQ 

27  3  3  11  12  3  4  14  6  4  3

a) Find the mean and median margin of victory.

b) Identify the outlier(s) in the set. If you eliminate the outlier(s), what are the new mean and median?

[For practice, make an attempt to answer the question prior to looking at my response.]

My response:

a) Sorting the data in ascending order, we will have:

3, 3, 3, 3, 4, 4, 6, 11, 12, 14, 27

Mean = [(4 * 3) + (2 * 4) + 6 + 11 + 12 + 14 + 27] / 11 = 8.182

The median is the middle value which is equal to 4.

b) The outlier is 27, because it varies from the rest of the data by a larger value. Without the outlier, the mean and median are:

Data set (without the outlier) in ascending order: 3, 3, 3, 3, 4, 4, 6, 11, 12, 14

Mean = [(4 * 3) + (2 * 4) + 6 + 11 + 12 + 14] / 10 = 6.3

Median = (4 + 4)/2 = 8 / 2 = 4

When the means in sections (a) and (b) are compared, it can be seen that the outlier (27) dragged the mean upward while having no impact on the median.

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