Find the mean of integers from -4 to 5.

Answer

To find the mean of integers from -4 to 5, we will follow these steps:

### Step 1: List the integers from -4 to 5
The integers in this range are:
-4, -3, -2, -1, 0, 1, 2, 3, 4, 5

### Step 2: Count the number of integers
We can count the integers listed:
- There are a total of 10 integers.

### Step 3: Calculate the sum of the integers
Now, we will find the sum of these integers:
\[ \text{Sum} = -4 + (-3) + (-2) + (-1) + 0 + 1 + 2 + 3 + 4 + 5 \]
Calculating this step-by-step:
- First, add the negative integers:
\(-4 + (-3) + (-2) + (-1) = -10\)
- Next, add the positive integers:
\(1 + 2 + 3 + 4 + 5 = 15\)
- Now, combine the two results:
\(-10 + 15 = 5\)

So, the total sum of the integers is \(5\).

### Step 4: Calculate the mean
Now, we can find the mean using the formula:
\[ \text{Mean} = \frac{\text{Sum of observations}}{\text{Number of observations}} = \frac{5}{10} \]
Calculating this gives:
\[ \text{Mean} = 0.5 \]

### Final Result
The mean of the integers from -4 to 5 is \(0.5\).

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