QQuestionStatistics
QuestionStatistics
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.
Step 3:: Compare the constructed box plot with the given options.
By comparing the box plots, we can see that option (c) matches our constructed box plot.
Final Answer
Option (c) represents the data set $2,4,6,8,10,1$.
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