Measurements - Absolute vs. Relative Frequencies
Absolute and relative measurements to characterize and compare data sets. Calculate absolute frequencies, relative frequencies, and analyze measurement data.
Measurements - Absolute vs. Relative Frequencies
Absolute and relative measurements to characterize and compare data sets.
Measurements are important in all production processes to achieve required quality.
Sample Measurement Data
Example weight samples of a product:
| Sample No. | Sample Value (x) |
|---|---|
| 1 | 1.0 |
| 2 | 1.1 |
| 3 | 0.9 |
| 4 | 1.0 |
| 5 | 1.0 |
| 6 | 0.9 |
| 7 | 1.1 |
| 8 | 1.0 |
| 9 | 1.1 |
Key Concepts
Absolute Frequency (h): The count of how many times each value appears in the data set.
Data Set Size Formula:
n = h₁ + h₂ + ... + hₖ = Σ hᵢ
Where: n = number of samples, h = absolute frequency
Relative Frequency (f):
fᵢ = hᵢ / n
Where: fᵢ = relative frequency of sample
Sum of Relative Frequencies:
Σ fᵢ = 1