Question

217 235 212 253 233 171 184 301
256 297 247 226 237 241 195 204
197 214 166 309 281 303 309 299

What is the mean of the data?

Answer 1

To find the mean of the given data, you need to follow these steps:

1. **Add all the numbers together**.
2. **Divide the sum by the total count of numbers**.

Let's perform these calculations.

### Step 1: Sum the numbers
The given numbers are:

217, 235, 212, 253, 233, 171, 184, 301,
256, 297, 247, 226, 237, 241, 195, 204,
197, 214, 166, 309, 281, 303, 309, 299

Now, let's sum them:

\[
217 + 235 + 212 + 253 + 233 + 171 + 184 + 301 + 256 + 297 + 247 + 226 + 237 + 241 + 195 + 204 + 197 + 214 + 166 + 309 + 281 + 303 + 309 + 299
\]

Calculating the sum:

- First row: \(217 + 235 + 212 + 253 + 233 + 171 + 184 + 301 = 1716\)
- Second row: \(256 + 297 + 247 + 226 + 237 + 241 + 195 + 204 = 1907\)
- Third row: \(197 + 214 + 166 + 309 + 281 + 303 + 309 + 299 = 1988\)

Now, summing these sub-totals:

\[
1716 + 1907 + 1988 = 5611
\]

### Step 2: Count the total numbers
There are 24 numbers in total.

### Step 3: Calculate the mean
Now we divide the sum by the count of numbers:

\[
\text{Mean} = \frac{5611}{24} \approx 233.79
\]

Therefore, the mean of the data is approximately **233.79**.