The median for the given set of six ordered data values is 26.5 . 91221 _ 4149 What is the missing value? The missing value is ◻.

Understand Median Concept: To find the missing value in an ordered set with a median of 26.5, we first need to understand that the median is the middle number in a sorted list of numbers. Since we have six data values, the median will be the average of the third and fourth numbers when the data is ordered from least to greatest.Identify Missing Value Position: We are given the ordered set as 9, 12, 21, _, 41, 49. The missing value is the fourth number in this list because the third and fourth numbers are the middle two numbers in a set of six.Set Up Equation for Median: To find the median, we need to average the third and fourth numbers. We are told that the median is 26.5. Therefore, we can set up the equation (21 + missing value)/2 = 26.5 to find the missing value.Solve for Missing Value: Now we solve for the missing value: Multiply both sides of the equation by 2 to get rid of the fraction: 21 + missing value = 53.Isolate Missing Value: Subtract 21 from both sides to isolate the missing value: missing value = 53 - 21.Perform Subtraction: Perform the subtraction: missing value = 32.

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The median for the given set of six ordered data values is 26.5 .

91221 _ 4149
What is the missing value?
The missing value is
◻.

The median for the given set of six ordered data values is $26$ . $5$ . $\newline$ $91221 \_4149$ $\newline$ What is the missing value? $\newline$ The missing value is $\square$ .

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Q. The median for the given set of six ordered data values is

26

5

\newline

91221 \_4149

\newline

What is the missing value?

\newline

The missing value is

\square

Understand Median Concept: To find the missing value in an ordered set with a median of $26.5$ , we first need to understand that the median is the middle number in a sorted list of numbers. Since we have $6$ data values, the median will be the average of the third and fourth numbers when the data is ordered from least to greatest.
Identify Missing Value Position: We are given the ordered set as $9, 12, 21, \_, 41, 49$ . The missing value is the fourth number in this list because the third and fourth numbers are the middle two numbers in a set of six.
Set Up Equation for Median: To find the median, we need to average the third and fourth numbers. We are told that the median is $26.5$ . Therefore, we can set up the equation $(21 + \text{missing value})/2 = 26.5$ to find the missing value.
Solve for Missing Value: Now we solve for the missing value: Multiply both sides of the equation by $2$ to get rid of the fraction: $21 + \text{missing value} = 53$ .
Isolate Missing Value: Subtract $21$ from both sides to isolate the missing value: missing value $= 53 - 21$ .
Perform Subtraction: Perform the subtraction: $\text{missing value} = 32$ .