Find the mean of the following data.
23, 24, 27, 31, 37, 46, and 78.

Answer

To find the mean of the given data: 23, 24, 27, 31, 37, 46, and 78, we will follow these steps:

### Step 1: List the Data
The data given is:
- 23
- 24
- 27
- 31
- 37
- 46
- 78

### Step 2: Count the Number of Data Points
We need to determine how many data points we have.
- Count: 1, 2, 3, 4, 5, 6, 7
- Total number of data points = 7

### Step 3: Calculate the Sum of the Data
Now, we will add all the data points together:
- Sum = 23 + 24 + 27 + 31 + 37 + 46 + 78

Let's calculate this step by step:
- 23 + 24 = 47
- 47 + 27 = 74
- 74 + 31 = 105
- 105 + 37 = 142
- 142 + 46 = 188
- 188 + 78 = 266

So, the total sum of the data is 266.

### Step 4: Calculate the Mean
The mean is calculated by dividing the sum of the data by the number of data points:
- Mean = Sum of data / Number of data points
- Mean = 266 / 7

Now, let's perform the division:
- 266 ÷ 7 = 38 (with a remainder)

### Final Answer
Thus, the mean of the given data is **38**.

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