diff --git a/.changeset/healthy-boats-lie.md b/.changeset/healthy-boats-lie.md
new file mode 100644
index 0000000000..2eb1bb0a46
--- /dev/null
+++ b/.changeset/healthy-boats-lie.md
@@ -0,0 +1,5 @@
+---
+'@hyperlane-xyz/utils': patch
+---
+
+fix median utils func + add test
diff --git a/typescript/utils/src/math.test.ts b/typescript/utils/src/math.test.ts
new file mode 100644
index 0000000000..e2f484d656
--- /dev/null
+++ b/typescript/utils/src/math.test.ts
@@ -0,0 +1,48 @@
+import { expect } from 'chai';
+
+import { mean, median, randomInt, stdDev, sum } from './math.js';
+
+describe('Math Utility Functions', () => {
+  describe('median', () => {
+    it('should return the median of an odd-length array', () => {
+      expect(median([1, 3, 2])).to.equal(2);
+    });
+
+    it('should return the median of an even-length array', () => {
+      expect(median([1, 2, 3, 4])).to.equal(2.5);
+    });
+
+    it('should return the median of an even-length array with non sorted numbers', () => {
+      expect(median([1, 2, 0, 4, 5, 6])).to.equal(3);
+    });
+  });
+
+  describe('sum', () => {
+    it('should return the sum of an array', () => {
+      expect(sum([1, 2, 3, 4])).to.equal(10);
+    });
+  });
+
+  describe('mean', () => {
+    it('should return the mean of an array', () => {
+      expect(mean([1, 2, 3, 4])).to.equal(2.5);
+    });
+  });
+
+  describe('stdDev', () => {
+    it('should return the standard deviation of an array', () => {
+      expect(stdDev([1, 2, 3, 4])).to.be.closeTo(1.118, 0.001);
+    });
+  });
+
+  describe('randomInt', () => {
+    it('should return a random integer within the specified range', () => {
+      const min = 1;
+      const max = 10;
+      const result = randomInt(max, min);
+      expect(result).to.be.at.least(min);
+      expect(result).to.be.below(max);
+      expect(result % 1).to.equal(0); // its an integer
+    });
+  });
+});
diff --git a/typescript/utils/src/math.ts b/typescript/utils/src/math.ts
index ebca6e75ef..4cc71bf80f 100644
--- a/typescript/utils/src/math.ts
+++ b/typescript/utils/src/math.ts
@@ -2,7 +2,7 @@ export function median(a: number[]): number {
   const sorted = a.slice().sort();
   const mid = Math.floor(sorted.length / 2);
   const median =
-    sorted.length % 2 == 0 ? (sorted[mid] + sorted[mid + 1]) / 2 : sorted[mid];
+    sorted.length % 2 == 0 ? (sorted[mid - 1] + sorted[mid]) / 2 : sorted[mid];
   return median;
 }