# Tools To Learn

Sound Source: How SLC80 Is Calculated  When I compare the values in the attenuation charts with the SLC80 on the package, the SLC80 is much lower than the average attenuation. How is the SLC80 calculated?

It is quite an ambitious calculation to measure a hearing protector’s attenuation at a variety of frequencies on a few test subjects in the laboratory, input these values into a formula and derive a single-number rating that can be applied universally to all users in all noise settings. If you have studied the attenuation charts on boxes of hearing protectors, you can see the Sound Level Conversion (SLC80) is not simply a mathematical average of the attenuation values*. Here are the significant steps used in calculating the SLC80, and an explanation of why each step is important: Laboratory Testing
Inexperienced test subjects with normal hearing are selected at random (sixteen subjects are used for testing earmuffs, twenty subjects for earplugs). Subjects are tested with hearing protectors (called occluded ear), and tested again without hearing protectors (called open ear), across a range of test frequencies. The difference between the open ear and occluded hearing tests gives us the attenuation of the hearing protector. The variability in these attenuation measurements among subjects (the “Standard Deviation”) is calculated and the attenuation values from all subjects are then averaged to give us the “Mean Attenuation in dB” at each frequency. These Mean Attenuation values, as well as the Standard Deviations, appear in the attenuation chart on each box or bulk package of hearing protectors.

Subtract Standard Deviation
To account for individual variation in fitting hearing protectors out in the real world (remember, the laboratory only tested twenty subjects, at most), a correction factor of one standard deviation is subtracted from each attenuation value. By subtracting one standard deviation, we can generalize the results from a small sample of twenty subjects to a larger population: for a population which is properly fitted with the HPD in the same manner as the laboratory subjects, 80% of the population would be expected to achieve these same attenuation values.

Subtraction from Hypothetical Noise
To account for some differences between the laboratory test sounds and real-world noise, the adjusted attenuation values (mean minus one standard deviation) are subtracted from “hypothetical noise levels” – some standardized noise levels at each frequency band. This step is critical in making the SLC80 more relevant to a hearing protector user, and not a laboratory microphone which detects sound differently than a human ear.