Questions: The data shows the number of t-shirts sold during 10 days at the state fair, 10,14,25,25,27,31,36,38,41,53 What is the median number of t-shirts sold? A. 25 B. 29 C. 30 D. 43

The data shows the number of t-shirts sold during 10 days at the state fair, 10,14,25,25,27,31,36,38,41,53 What is the median number of t-shirts sold? A. 25 B. 29 C. 30 D. 43
Transcript text: The data shows the number of t-shirts sold during 10 days at the state faif, $10,14,25,25,27,31,36,38,41,53$ What is the median number of t-shirts sold? A. 25 B. 29 C. 30 D. 43
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Solution

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Solution Steps

Step 1: Arrange the data in ascending order

The given data is already arranged in ascending order:
\(10, 14, 25, 25, 27, 31, 36, 38, 41, 53\).

Step 2: Determine the number of data points

There are \(10\) data points in the dataset.

Step 3: Calculate the median

Since the number of data points is even (\(10\)), the median is the average of the \(5^{th}\) and \(6^{th}\) values.
The \(5^{th}\) value is \(27\) and the \(6^{th}\) value is \(31\).
Thus, the median is:
\[ \text{Median} = \frac{27 + 31}{2} = 29. \]

Final Answer

\(\boxed{29}\)

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