Find the mean of the numbers
7.6, 6.8, 8.5, 9.4, 5.9, 6.4, 9.1 and 4.7

Options

A. `6.7`
B. `4.9`
C. `5.6`
D. `7.3`

Answer

To find the mean of the numbers 7.6, 6.8, 8.5, 9.4, 5.9, 6.4, 9.1, and 4.7, follow these steps:

### Step 1: List the numbers
The numbers we need to find the mean for are:
- 7.6
- 6.8
- 8.5
- 9.4
- 5.9
- 6.4
- 9.1
- 4.7

### Step 2: Sum all the numbers
Now, we will add all these numbers together:
\[ 7.6 + 6.8 + 8.5 + 9.4 + 5.9 + 6.4 + 9.1 + 4.7 \]

Calculating the sum:
\[ 7.6 + 6.8 = 14.4 \\ 14.4 + 8.5 = 22.9 \\ 22.9 + 9.4 = 32.3 \\ 32.3 + 5.9 = 38.2 \\ 38.2 + 6.4 = 44.6 \\ 44.6 + 9.1 = 53.7 \\ 53.7 + 4.7 = 58.4 \]

So, the total sum is **58.4**.

### Step 3: Count the total number of observations
Next, we need to count how many numbers we have:
There are **8** numbers in total.

### Step 4: Calculate the mean
Now, we can calculate the mean using the formula:
\[ \text{Mean} = \frac{\text{Sum of all observations}}{\text{Total number of observations}} \]
Substituting the values we found:
\[ \text{Mean} = \frac{58.4}{8} \]

Calculating this gives:
\[ \text{Mean} = 7.3 \]

### Final Answer
The mean of the numbers is **7.3**.

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