The distribution of the data is positively skewed because there are fewer classmates with a higher number of siblings. Therefore, the mean would not be the most appropriate measure of center as it is greatly influenced by the outliers on the higher end. In this case, the median would be the most appropriate measure of center as it is not affected by outliers.
Mean = (0+0+0+0+1+1+1+1+1+2+2+2+3+3+3+3+4+4+6+7+7+10) / 22
Mean = 4
Median = (n+1)/2 position
Median = (22+1)/2 = 11.5th position
Median = 2 (as it falls between the 11th and 12th positions)
Therefore, the best measure of center for the number of siblings would be the median of 2 as it accurately represents the middle value of the data without being influenced by outliers.
0,0,0,0,1,1,1,1,1,2,2,2,3,3,3,3,4,4,6,7,7,10
You are trying to find the average number of siblings that your classmates have. In 3–5 sentences, explain whether the distribution of the data you gathered is symmetrical or skewed and if the mean or median would be the most appropriate center. Also calculate and state the mean and median in your response. Finally, state the best measure of center for the number of siblings.
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