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Find the mean, median, and mode for the set of numbers. If necessary, round the mean to one decimal place.

[tex]\[ 614, 343, 104, 304, 556, 265, 230, 595 \][/tex]


Sagot :

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.