Subjects statistics

Median Stemplot A39591

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1. **State the problem:** Find the median of the data represented by the stem-and-leaf plot. 2. **List all data values from the stem-and-leaf plot:** - From stem 1: 14, 17 - From stem 2: 20, 21, 24 - From stem 3: 30, 31 - From stem 4: 43, 45, 47, 49 - From stem 5: 50, 51, 51, 55, 56 - From stem 6: 64, 66 3. **Combine all values in order:** $$14, 17, 20, 21, 24, 30, 31, 43, 45, 47, 49, 50, 51, 51, 55, 56, 64, 66$$ 4. **Count the total number of data points:** There are 18 values. 5. **Find the median position:** Since 18 is even, median is the average of the $\frac{18}{2} = 9^{th}$ and $\left(\frac{18}{2} + 1\right) = 10^{th}$ values. 6. **Identify the 9th and 10th values:** - 9th value: 45 - 10th value: 47 7. **Calculate the median:** $$\text{Median} = \frac{45 + 47}{2} = \frac{92}{2} = 46$$ **Final answer:** The median of the data is **46**.