To find the mean of the given data, you need to follow these steps:
- Add all the numbers together.
- 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.