1. The problem asks which measure of center should be used for Data Set B, given that 10 and 12 are outliers.
2. Important measures of center include the mean, median, and mode. The mean is sensitive to outliers because it sums all values and divides by the count.
3. The median is the middle value when data is ordered and is resistant to outliers because it depends on position, not magnitude.
4. Data Set B is: $\{10, 12, 32, 33, 33, 34, 35, 35, 35, 37, 38\}$, which has 11 values.
5. To find the median, order the data (already ordered) and find the middle value at position $\frac{11+1}{2} = 6$.
6. The 6th value is 34, so $\text{median} = 34$.
7. The mean would be affected by the low outliers 10 and 12, pulling it down.
8. Therefore, the median is the best measure of center for Data Set B because it is not affected by outliers.
Final answer: Use the median as the measure of center for Data Set B.
Median Outliers 9Dbfeb
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