Questions: Make up a new data set in which the median is equal to one of the numbers in the data set. Data set: 7,3,9,5,2 - Arrange the data in numerical order 2,3,5,7,9 - I have 5 numbers, which is odd - The middle number is 9

Make up a new data set in which the median is equal to one of the numbers in the data set. Data set: 7,3,9,5,2 - Arrange the data in numerical order 2,3,5,7,9 - I have 5 numbers, which is odd - The middle number is 9
Transcript text: Make up a new data set in which the median is equal to one of the numbers in the data set. Data set: $7,3,9,5,2$ - Arrange the data in numerical order $2,3,5,7,9$ - I have 5 numbers, which is odd - The middle number is $\underline{\underline{9}}$
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Solution

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Solution Steps

Step 1: Arrange the data in numerical order

The given data set is \(7, 3, 9, 5, 2\). Arranging these numbers in ascending order gives: \[ 2, 3, 5, 7, 9 \]

Step 2: Determine the number of data points

The data set has \(5\) numbers, which is an odd count.

Step 3: Identify the median

For an odd number of data points, the median is the middle number. In this case, the middle number is the third number in the ordered list: \[ \text{Median} = 5 \]

Step 4: Verify if the median is part of the data set

The median \(5\) is indeed one of the numbers in the original data set \(7, 3, 9, 5, 2\).

Final Answer

The problem was not solved correctly. The median of the data set \(2, 3, 5, 7, 9\) is \(5\), not \(9\). The correct answer is: \[ \boxed{\text{The median is } 5 \text{ and it is part of the data set}} \]

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