When presenting information we are accustomed to seeing information about Mean (

Question

When presenting information we are accustomed to seeing information about Mean (Average). For example, according to the Social Security Administration, the Average Net Salary in the United States in 2015 was $46,119.78. However, we also know that we can learn a lot about a sample by looking at the Median. The Median Net Salary in the United States in 2015 was $29,930.13. Quite a large difference.

After reading Chapter 3, come up with an example where knowing how Mean, Median, and Mode work and what they represent could help you better understand data.

Explanation / Answer

Lets consider an example where we will consider score of 20 students in maths test out of 100

10,10,15,15,18,18,18,18,18,18,25,40,55,70,70,75,80,85,90,92

From this,

Mean = Addition of all scores /20 = 840/12 =42

Median = middle score = (10th+11th)/2 = (18+25)/2 = 21.5

Mode = most repeating score = 18

Here, Median is much lesser than mean because the data values after middle position are very large as compared to smaller values(towards left)

Had it been reverse case then median would have been more than mean

Mode simply states the term repeating for most number of times

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