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The dataset below has an outlier. First, determine the outlier. If the outlier is excluded which measure of central tendency is affected the most by the outlier?12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35, 48A. meanB. medianC. modeD. they are all affected the same amount

Respuesta :

1. Find each staticstic measure with all the data:

Mean:

[tex]\begin{gathered} \frac{12+19+19+20+21+22+22+23+24+26+27+28+29+30+32+35+48}{17} \\ \\ =\frac{437}{17}=25.70 \end{gathered}[/tex]

Median: 24 (The data in the middle is the one in the position 9)

Mode: 19 and 22

2. Exclude the outlier and dind again the staticstic measures:

Outlier: 48

Mean:

[tex]\begin{gathered} \frac{12+19+19+20+21+22+22+23+24+26+27+28+29+30+32+35}{16} \\ \\ =24.31 \end{gathered}[/tex]

Median: Average between two middle numbers:

[tex]\frac{23+24}{2}=23.5[/tex]

Mode: 19 and 22

Mean is affeted by 1.39; Median is affected 0.5; and Mode is not affected

Then, if the outlier is excluded the measure of central tendency that is most affected is the mean

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