Histogram metrics allow you to measure not just easy things like the min, mean, max, and standard deviation of values, but also quantiles like the median or 95th percentile.

Traditionally, the way the median (or any other quantile) is calculated is to take the entire data set, sort it, and take the value in the middle (or 1% from the end, for the 99th percentile). This works for small data sets, or batch processing systems, but not for high-throughput, low-latency services.

The solution for this is to sample the data as it goes through. By maintaining a small, manageable reservoir which is statistically representative of the data stream as a whole, we can quickly and easily calculate quantiles which are valid approximations of the actual quantiles. This technique is called reservoir sampling.