Pergunta
In a dataset with an extremely high outlier,which measure of center is least affected? For Teacher Use Only QR.SP5.DOK2.439120 M3.L2Q13 Mode Range Median Mean
Solução
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4.5142 Voting
IkerMestre · Tutor por 5 anos
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'C' (Median)
Explicação
## Step 1<br />The problem is asking us to identify which measure of central tendency is least affected by extremely high outliers in a dataset. The measures of central tendency include the mean, median, and mode.<br /><br />## Step 2<br />The mean is calculated by adding all the values in a dataset and dividing by the number of values. This measure is sensitive to extreme values or outliers because these values can significantly shift the total sum, thus affecting the mean.<br /><br />## Step 3<br />The mode is the value that appears most frequently in a dataset. Extreme values or outliers do not affect the mode because the mode is based on frequency, not the actual values.<br /><br />## Step 4<br />The median is the middle value in a dataset when the values are arranged in ascending or descending order. Extreme values or outliers do not affect because the median is based on the position of the values, not the actual values.<br /><br />## Step 5<br />The range is the difference between the highest and lowest values in a dataset. Extreme values or outliers can significantly affect the range because the range is based on the extreme values.<br /><br />## Step 6<br />From the above analysis, we can see that the median is the measure of central tendency that is least affected by extremely high outliers in a dataset.
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