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Mathematics & Economics

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Math Problem

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# Math Problem: Effect of Outlier Value on Mean and Median (Math Problem Sample)

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.itl.nist.gov/div898/handbook/prc/section1/prc16.htm

Content:

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

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