Let's find the mean, median, and mode for the set of numbers: 614, 343, 104, 304, 556, 265, 230, 595.
### Mean
To find the mean, sum all the numbers and then divide by the total count of numbers.
1. Add all the numbers together:
[tex]\( 614 + 343 + 104 + 304 + 556 + 265 + 230 + 595 = 3011 \)[/tex]
2. Count the numbers:
There are 8 numbers.
3. Divide the sum by the count:
[tex]\[
\text{Mean} = \frac{3011}{8} = 376.375
\][/tex]
4. Round the mean to one decimal place:
[tex]\[
\text{Mean} \approx 376.4
\][/tex]
### Median
To find the median, arrange the numbers in ascending order and then find the middle number(s).
1. Arrange the numbers in order:
104, 230, 265, 304, 343, 556, 595, 614
2. Count the numbers:
There are 8 numbers, so the median will be the average of the 4th and 5th numbers.
3. Locate the 4th and 5th numbers:
The 4th number is 304 and the 5th number is 343.
4. Find the average of these two numbers:
[tex]\[
\text{Median} = \frac{304 + 343}{2} = \frac{647}{2} = 323.5
\][/tex]
### Mode
To find the mode, determine which number appears most frequently.
1. Observe the numbers:
614, 343, 104, 304, 556, 265, 230, 595
2. None of the numbers repeat.
Since there are no repeating numbers, this data set has no mode.
### Conclusion
- Mean: 376.4
- Median: 323.5
- Mode: None
These are the final results.
