Find the mean of the data 42,20,24,31,30 and 57.

Answer

To find the mean of the data set 42, 20, 24, 31, 30, and 57, we will follow these steps:

### Step 1: Write down the data
The data we have is:
- 42
- 20
- 24
- 31
- 30
- 57

### Step 2: Count the number of observations
Count the total number of observations in the data set:
- There are 6 observations.

### Step 3: Calculate the sum of all observations
Now, we need to add all the numbers together:
\[ 42 + 20 + 24 + 31 + 30 + 57 \]

Calculating this step by step:
- \(42 + 20 = 62\)
- \(62 + 24 = 86\)
- \(86 + 31 = 117\)
- \(117 + 30 = 147\)
- \(147 + 57 = 204\)

So, the sum of all observations is **204**.

### Step 4: Divide the sum by the number of observations
Now, we will divide the total sum by the number of observations to find the mean:
\[ \text{Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations}} = \frac{204}{6} \]

Calculating this:
- \(204 \div 6 = 34\)

### Step 5: State the mean
Thus, the mean of the data set is **34**.

### Final Answer:
The mean of the data 42, 20, 24, 31, 30, and 57 is **34**.

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