Give example of a small set of data maybe 5 data points that

Give example of a small set of data (maybe 5 data points) that has the following characteristics.

First set: Mean is less that the Median which is less than the Mode... (Example, Mean is 3, Median is 5, Mode is 7)

Second set: Mode is less than the Median which is less than the Mean... (Example, Mode is 3, Median is 5, Mean is 7)

Give the data and explain what this means in terms of \"skewness\" with large data sets.

Solution

First Set : {1,2,4,6,6}

Mean = (1+2+4+6+6)/5 = 3.8

Median = 4

Mode =6

Second Set : {1,1,5,10,11}

Mean = (1+1+5+10+11)/5 = 5.6

Median = 5

Mode =1

\"skewness\" with large data sets:

In terms of large data , First Data Set : Skewed Left ( Long tail points left)

In terms of large data , Second Data Set : Skewed Right ( Long tail points right)