diff --git a/src/components/spreadsheet/CellRenderer.tsx b/src/components/spreadsheet/CellRenderer.tsx
index 3e3f5ba..ae6d30b 100644
--- a/src/components/spreadsheet/CellRenderer.tsx
+++ b/src/components/spreadsheet/CellRenderer.tsx
@@ -222,7 +222,7 @@ export const CellRenderer: React.FC<CellRendererProps> = ({
     } else if (isSampledDistributionValue(value)) {
       const sampled = parseSampledDistributionValue(value);
       if (sampled) {
-        const sampledDistRepresentation = `S(μ=${sampled.mean.toFixed(2)}, σ²=${(sampled.std ** 2).toFixed(2)})`;
+        const sampledDistRepresentation = `S(μ=${sampled.mean.toFixed(2)}, σ=${sampled.std.toFixed(2)})`;
         setTempValue(sampledDistRepresentation);
       } else {
         setTempValue("");
diff --git a/src/hooks/useFormulaBar.test.ts b/src/hooks/useFormulaBar.test.ts
new file mode 100644
index 0000000..1b56af1
--- /dev/null
+++ b/src/hooks/useFormulaBar.test.ts
@@ -0,0 +1,12 @@
+import { describe, expect, it } from "vitest";
+
+import { formatFormulaBarCellValue } from "./useFormulaBar";
+
+describe("formatFormulaBarCellValue", () => {
+  it("formats variance-backed summaries as standard deviation", () => {
+    expect(formatFormulaBarCellValue({ mean: 5, variance: 4 }))
+      .toBe("S(μ=5.00, σ=2.00)");
+    expect(formatFormulaBarCellValue({ mu: 3, sigma2: 9 }))
+      .toBe("LN(μ=3.00, σ=3.00)");
+  });
+});
diff --git a/src/hooks/useFormulaBar.ts b/src/hooks/useFormulaBar.ts
index 4e620f3..72a5539 100644
--- a/src/hooks/useFormulaBar.ts
+++ b/src/hooks/useFormulaBar.ts
@@ -1,21 +1,27 @@
 import { useCallback, useContext, useEffect, useState } from "react";
 import { SpreadsheetContext } from "../context/SpreadsheetContext";
+import { parseSampledDistributionValue } from "../utils/distribution/distributionUtils";
 
 interface SelectedCell {
   row: number;
   col: number;
 }
 
-const formatCellValue = (value: unknown): string => {
+export const formatFormulaBarCellValue = (value: unknown): string => {
   if (value === null || value === undefined) return "";
   if (typeof value === "boolean") return value ? "TRUE" : "FALSE";
 
   if (typeof value === "object" && value !== null) {
+    const sampled = parseSampledDistributionValue(value);
+    if (sampled) {
+      return `S(μ=${sampled.mean.toFixed(2)}, σ=${sampled.std.toFixed(2)})`;
+    }
+
     const v = value as Record<string, unknown>;
     if (typeof v.mean === "number" && typeof v.variance === "number")
-      return `N(μ=${v.mean.toFixed(2)}, σ²=${v.variance.toFixed(2)})`;
+      return `S(μ=${v.mean.toFixed(2)}, σ=${Math.sqrt(v.variance).toFixed(2)})`;
     if (typeof v.mu === "number" && typeof v.sigma2 === "number")
-      return `LN(μ=${v.mu.toFixed(2)}, σ²=${v.sigma2.toFixed(2)})`;
+      return `LN(μ=${v.mu.toFixed(2)}, σ=${Math.sqrt(v.sigma2).toFixed(2)})`;
     if (typeof v.a === "number" && typeof v.b === "number")
       return `U[${v.a.toFixed(2)}, ${v.b.toFixed(2)}]`;
     if (typeof v.lower === "number" && typeof v.upper === "number" && typeof v.confidenceLevel === "number")
@@ -44,7 +50,7 @@ export function useFormulaBar(selectedCell: SelectedCell | null) {
     if (formula) {
       nextValue = formula;
     } else if (value !== null && value !== undefined) {
-      nextValue = formatCellValue(value);
+      nextValue = formatFormulaBarCellValue(value);
     }
 
     setFormulaInput((prev) => (prev === nextValue ? prev : nextValue));
diff --git a/src/utils/visual-dependency-graph/visualDependencyGraphFormatter.test.ts b/src/utils/visual-dependency-graph/visualDependencyGraphFormatter.test.ts
index 127a459..78ad795 100644
--- a/src/utils/visual-dependency-graph/visualDependencyGraphFormatter.test.ts
+++ b/src/utils/visual-dependency-graph/visualDependencyGraphFormatter.test.ts
@@ -26,6 +26,6 @@ describe('formatVisualDependencyValue', () => {
         mean: 5,
         variance: 4,
       }),
-    ).toBe('S(μ=5.00, σ²=4.00)')
+    ).toBe('S(μ=5.00, σ=2.00)')
   })
 })
diff --git a/src/utils/visual-dependency-graph/visualDependencyGraphFormatter.ts b/src/utils/visual-dependency-graph/visualDependencyGraphFormatter.ts
index f24658f..28b1269 100644
--- a/src/utils/visual-dependency-graph/visualDependencyGraphFormatter.ts
+++ b/src/utils/visual-dependency-graph/visualDependencyGraphFormatter.ts
@@ -9,6 +9,6 @@ export const formatVisualDependencyValue = (value: VisualDependencyNodeValue): s
     case 'confidence_interval':
       return `CI[${formatNumber(value.lower)}, ${formatNumber(value.upper)}]`
     case 'sampled_distribution':
-      return `S(μ=${formatNumber(value.mean)}, σ²=${formatNumber(value.variance)})`
+      return `S(μ=${formatNumber(value.mean)}, σ=${formatNumber(Math.sqrt(value.variance))})`
   }
 }