Questions: Find the midrange for the following group of data items. 1.8, 6.5, 7.7, 2.9, 6.5, 6.5, 3.8, 7.2, 4.4, 2.7, 2.7 The midrange of the set of values is . (Type an integer or a decimal.)

Find the midrange for the following group of data items.
1.8, 6.5, 7.7, 2.9, 6.5, 6.5, 3.8, 7.2, 4.4, 2.7, 2.7
The midrange of the set of values is . (Type an integer or a decimal.)
Transcript text: Find the midrange for the following group of data items. \[ 1.8,6.5,7.7,2.9,6.5,6.5,3.8,7.2,4.4,2.7,2.7 \] The midrange of the set of values is $\square$ . (Type an integer or a decimal.)
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Solution

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Solution Steps

Step 1: Identify the Data Set

The given data set consists of the following values: \[ 1.8, 6.5, 7.7, 2.9, 6.5, 6.5, 3.8, 7.2, 4.4, 2.7, 2.7 \]

Step 2: Calculate the Minimum and Maximum Values

To find the midrange, we first determine the minimum and maximum values in the data set: \[ \text{Minimum value} = 1.8 \] \[ \text{Maximum value} = 7.7 \]

Step 3: Calculate the Midrange

The midrange is calculated using the formula: \[ \text{Midrange} = \frac{\text{Minimum value} + \text{Maximum value}}{2} \] Substituting the values we found: \[ \text{Midrange} = \frac{1.8 + 7.7}{2} = \frac{9.5}{2} = 4.75 \]

Final Answer

The midrange of the set of values is \[ \boxed{4.75} \]

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