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find the median of this stem - and - leaf plot. key: 2 | 5 means 25

Question

find the median of this stem - and - leaf plot.
key: 2 | 5 means 25

Explanation:

Step1: List all data points

From the stem - and - leaf plot, the data points are: 25, 27, 29, 30, 32, 33, 41.

Step2: Determine the number of data points

The number of data points \(n = 7\), which is odd.

Step3: Find the median position

For a set of \(n\) (odd) data points, the median is the \(\frac{n + 1}{2}\)-th value. So, \(\frac{7+1}{2}=4\)-th value.

Step4: Identify the median

Arranging the data in ascending order (which it already is from the stem - and - leaf plot interpretation), the 4th value is 30.

Answer:

30