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

Solution Steps

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

There are $10$ data points in the dataset.

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