To find the mean (average) of a data set, follow these steps:
- Gather all the numbers in the data set.
- Count how many numbers there are; this count is called nnn.
- Add all the numbers together to get a total sum.
- Divide the sum by nnn (the number of values).
The formula for the mean xˉ\bar{x}xˉ is:
xˉ=sum of all data valuesn\bar{x}=\frac{\text{sum of all data values}}{n}xˉ=nsum of all data values
For example, if the data set is 70, 65, 75, 60, 55, 59, 68, 74, 50:
- Sum: 70+65+75+60+55+59+68+74+50=57670+65+75+60+55+59+68+74+50=57670+65+75+60+55+59+68+74+50=576
- Count: n=9n=9n=9
- Mean: 576/9=64576/9=64576/9=64
So, the mean is 64, which represents the average value of the data set.