Find the mean of 5,6,17,8,9,15,23,18,10 and 24.

Answer

To find the mean of the numbers 5, 6, 17, 8, 9, 15, 23, 18, 10, and 24, follow these steps:

### Step 1: List the numbers
The numbers given are:
5, 6, 17, 8, 9, 15, 23, 18, 10, 24

### Step 2: Calculate the sum of the numbers
Add all the numbers together:
\[ 5 + 6 + 17 + 8 + 9 + 15 + 23 + 18 + 10 + 24 \]

Calculating step-by-step:
- \( 5 + 6 = 11 \)
- \( 11 + 17 = 28 \)
- \( 28 + 8 = 36 \)
- \( 36 + 9 = 45 \)
- \( 45 + 15 = 60 \)
- \( 60 + 23 = 83 \)
- \( 83 + 18 = 101 \)
- \( 101 + 10 = 111 \)
- \( 111 + 24 = 135 \)

So, the sum of the numbers is \( 135 \).

### Step 3: Count the total number of observations
Count the total numbers in the list:
There are 10 numbers.

### Step 4: Calculate the mean
Use the formula for mean:
\[ \text{Mean} = \frac{\text{Sum of observations}}{\text{Total number of observations}} = \frac{135}{10} \]

### Step 5: Simplify the fraction
Calculating the division:
\[ \frac{135}{10} = 13.5 \]

### Final Answer
Thus, the mean of the given numbers is \( 13.5 \).

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