Find the mean of the following set of numbers:
11,14,23,25,10,12,18 and 6

Answer

To find the mean of the given set of numbers, we will follow these steps:

### Step 1: List the numbers
The numbers given are:
11, 14, 23, 25, 10, 12, 18, and 6.

### Step 2: Calculate the sum of the numbers
We need to add all the numbers together:
\[ 11 + 14 + 23 + 25 + 10 + 12 + 18 + 6 \]

Calculating this step-by-step:
- \(11 + 14 = 25\)
- \(25 + 23 = 48\)
- \(48 + 25 = 73\)
- \(73 + 10 = 83\)
- \(83 + 12 = 95\)
- \(95 + 18 = 113\)
- \(113 + 6 = 119\)

So, the sum of the numbers is \(119\).

### Step 3: Count the total number of values
Count the total number of values in the set:
There are 8 numbers in total.

### Step 4: Calculate the mean
The mean is calculated by dividing the sum of the numbers by the total number of values:
\[ \text{Mean} = \frac{\text{Sum of numbers}}{\text{Total number of values}} = \frac{119}{8} \]

### Step 5: Perform the division
Now we divide \(119\) by \(8\):
\[ 119 \div 8 = 14.875 \]

### Conclusion
Thus, the mean of the given set of numbers is \(14.875\).

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