Questions: Find the median of the set of values. 22.8, 22.1, 50.5, 22.4, 22.2

Find the median of the set of values. 22.8, 22.1, 50.5, 22.4, 22.2
Transcript text: Find the median of the set of values. \[ \begin{array}{lllll} 22.8 & 22.1 & 50.5 & 22.4 & 22.2 \end{array} \]
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Solution

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Solution Steps

Step 1: Arrange the Data in Ascending Order

To find the median, we first need to arrange the data in ascending order. The given set of values is:

\[ 22.8, 22.1, 50.5, 22.4, 22.2 \]

Arranging these values in ascending order, we get:

\[ 22.1, 22.2, 22.4, 22.8, 50.5 \]

Step 2: Determine the Number of Observations

Count the number of observations in the data set. In this case, there are 5 observations.

Step 3: Find the Median

Since the number of observations is odd (5), the median is the middle value in the ordered list. The middle value is the third value in the list:

\[ 22.1, 22.2, \mathbf{22.4}, 22.8, 50.5 \]

Thus, the median is 22.4.

Final Answer

\[ \boxed{22.4} \]

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