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.)
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.)
Solution
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
\[
\boxed{4.75}
\]