Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not represent the center of the​ data, explain why.

A sample of seven admission test scores for a professional school are listed below.   11.8, 9.7,9.8,9.7,10.6,9.7,11.0

Let's calculate the **mean**, **median**, and **mode** for the given data set:

### Data Set:
\[
11.8, 9.7, 9.8, 9.7, 10.6, 9.7, 11.0
\]

### Step 1: Find the Mean
The **mean** is the sum of all data values divided by the number of values.

\[
\text{Mean} = \frac{11.8 + 9.7 + 9.8 + 9.7 + 10.6 + 9.7 + 11.0}{7}
\]

Let's calculate the sum:
\[
11.8 + 9.7 + 9.8 + 9.7 + 10.6 + 9.7 + 11.0 = 72.3
\]

Now, divide by the number of data points (7):
\[
\text{Mean} = \frac{72.3}{7} = 10.33
\]

So, the **mean** is **10.33**.

### Step 2: Find the Median
The **median** is the middle value when the data is arranged in order.

First, sort the dataLet's calculate the **mean**, **median**, and **mode** for the given data set:

### Data Set:
\[
11.8, 9.7, 9.8, 9.7, 10.6, 9.7, 11.0
\]

### Step 1: Find the Mean
The **mean** is the sum of all data values divided by the number of values.

\[
\text{Mean} = \frac{11.8 + 9.7 + 9.8 + 9.7 + 10.6 + 9.7 + 11.0}{7}
\]

Let's calculate the sum:
\[
11.8 + 9.7 + 9.8 + 9.7 + 10.6 + 9.7 + 11.0 = 72.3
\]

Now, divide by the number of data points (7):
\[
\text{Mean} = \frac{72.3}{7} = 10.33
\]

So, the **mean** is **10.33**.

### Step 2: Find the Median
The **median** is the middle value when the data is arranged in order.

First, sort the 
\[
9.7, 9.7, 9.7, 9.8, 10.6, 11.0, 11.8
\]

Since there are 7 values (an odd number), the median is the middle value, which is the 

Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. A sample of seven admission test scores for a professional school are listed below: 11.8, 9.7, 9.8, 9.7, 10.6, 9.7, 11.0

Learn how to calculate the mean, median, and mode of a data set with seven admission test scores: 11.8, 9.7, 9.8, 9.7, 10.6, 9.7, and 11.0. This problem covers key statistical concepts and provides a step-by-step solution for students in Grades 6-8.

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