diff --git a/src/sampler.luau b/src/sampler.luau
index 56d3a03..d07fbd1 100644
--- a/src/sampler.luau
+++ b/src/sampler.luau
@@ -380,11 +380,19 @@ local function ANALYZE(sample: Sample, options: AnalyzeOptions?): SampleStats
 	-- Calculate MAD (median absolute deviation)
 	local mad = calculate_mad(sample, median)
 
+	-- Calculate mean (Neumaier summation)
 	local sum = 0
+	local correction = 0
 	for _, value in sample do
-		sum += value
+		local target = sum + value
+
+		if math.abs(sum) >= math.abs(value) then
+			correction += (sum - target) + value
+		else
+			correction += (value - target) + sum
+		end
 	end
-	local mean = sum / n
+	local mean = (sum + correction) / n
 
 	-- Calculate variance and standard deviation
 	local variance_sum = 0