Fb2Example.docx

# Fb2Example.docx - 2 is more than 3 times larger than the...

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Facebook Assignment #2 X 1 : 16, 45, 56, 60, 82, 111, 122, 188, 250, 300, 353, 858 X 2 : 56, 102, 104, 123, 130, 146, 167, 174, 177, 191, 700, 4,938 X 1 x = 203.42 Med= 6 th and 7 th observation = 122+111/2=117 Q 1 = 3 rd observation = 56 Q 3 = 9 th observation = 250 IQR = Q 3 – Q 1 = 194 s= 232.6 coefficient of variation= s/ x = 232.6/203.42 = 1.14*100= 114 X 2 x = 584 Median= 6 th and 7 th data point = 146+167/2= 157 Q 1 = 3 rd observation = 104 Q 3 = 9 th observation=177 IQR = Q 3 – Q 1 = 177 – 104= 73 s= 1381 coefficient of variation = 1381/584= 2.36*100= 236

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*4,938 outlier 800 700 600 X 1 500 X 2 400 300 200 100 000 Interpretation: Both data sets are heavily skewed to the right due to outliers or extreme observations. However, X 2 is more skewed than X 1 . The mean of X
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Unformatted text preview: 2 is more than 3 times larger than the median, skewing the data set to the right. Since there are extreme values in both data sets, the median would be a better measure of central tendency than the mean, since the mean averages all data points while the median is/are those data points that divide the distribution in half. In terms of the standard deviation, the spread of X 2 values are much larger than the spread of X 1, this is largely due to outliers (X 1 =232.6; X 2 =1381). In terms of the coefficient of variation, which contrasts the standard deviation relative to the mean, X 2 is twice as large as X 1 ....
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## Fb2Example.docx - 2 is more than 3 times larger than the...

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