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Math Problem: Effect of Outlier Value on Mean and Median

Math Problem Instructions:

Interpreting Normal Distributions



Here is a challenge question for you (optional).



Choose a continuous variable that is normally distributed (for example, height) and create a hypothetical data set with 30 values showing the distribution. Calculate the mean and median.



Next, add an outlier to the data set and calculate the mean and median again. How are they affected?



Check out the below link for starting help:



http://www(dot)itl(dot)nist(dot)gov/div898/handbook/prc/section1/prc16.htm

Math Problem Sample Content Preview:

Effect of Outlier Value on mean and median
Name
Institution
Effect of Outlier Value on Mean and Median
The height of students to participate is a volleyball challenge from two schools are measured and recorded as shown below. Measurements are given in meters
1.82, 1.93, 2.10, 2.10, 1.89, 1.83, 1.90, 1.94, 1.92, 1.96, 2.30, 2.40, 2.30, 2.50, 1.86, 1.86, 1.87, 1.87, 2.5, 2.0, 1.83, 1.89, 1.86, 2.43, 2.20, 2.13, 2.42, 2.42, 1.96, 1.85.
Mean = (1.82+1.93+ 2.10+2.10+ 1.89 +1.83+ 1.90 +1.94+ 1.92 +1.96 +2.30+2.40 +2.30 +2.50 +1.86 +1.86+1.87 +1.87 +2.5 +2.0 +1.83 +1.89 +1.86+ 2.43+2.20 +2.13 +2.42+2.42 +1.96 +1.85)/30 =61.84/30
Mean height = 2.06 meters
Arranging the data in ascending order =1.82, 1.83...
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