Subjects statistics

Median Daily Sales 19Fe8A

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Median Daily Sales 19Fe8A


1. **Problem Statement:** Find the median of the daily sales data for 2 weeks of supermarket ABC. Given data: 15, 13, 16, 19, 21, 24, 25, 16, 15, 18, 17, 16, 21, 28 2. **Step 1: Arrange the data in ascending order.** 13, 15, 15, 16, 16, 16, 17, 18, 19, 21, 21, 24, 25, 28 3. **Step 2: Find the number of data points, $n$.** $n = 14$ 4. **Step 3: Use the median formula for even $n$: median is the average of the $\frac{n}{2}$-th and $\left(\frac{n}{2} + 1\right)$-th values.** $$\text{Median} = \frac{x_{\frac{n}{2}} + x_{\frac{n}{2} + 1}}{2}$$ 5. **Step 4: Identify the $7^{th}$ and $8^{th}$ values in the ordered data.** $7^{th}$ value = 17 $8^{th}$ value = 18 6. **Step 5: Calculate the median.** $$\text{Median} = \frac{17 + 18}{2} = \frac{35}{2} = 17.5$$ **Final answer:** The median daily sales is 17.5 (RM’000).