Which box plot represents the data set $2,4,6,8,10,1$ ?
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Answer

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Step 1
: Identify the median and quartile values for the given data set.

The data set is already ordered, so we can find the median and quartile values directly: First quartile (Q1): Median of the lower half of the data set: (4 + 6)/ 2 = 5 Second quartile (Q^2 or median): Median of the entire data set: (8 + 10)/ 2 = 9 Third quartile (Q3): Median of the upper half of the data set: (10 + 12)/ 2 = 11

Step 2
: Plot the box plot using the median and quartile values.

A box plot consists of a box extending from Q^1 to Q^3, a vertical line at the median, and "whiskers" extending to the smallest and largest values. In this case, the smallest value is 2 and the largest is 12.

Final Answer

Option (c) represents the data set $2,4,6,8,10,1$.