diff --git a/src/compute/models/k_means.rs b/src/compute/models/k_means.rs
index a92e414..7e66014 100644
--- a/src/compute/models/k_means.rs
+++ b/src/compute/models/k_means.rs
@@ -14,14 +14,22 @@ impl KMeans {
         let n = x.cols();
         assert!(k <= m, "k must be ≤ number of samples");
 
-        // ----- initialise centroids: pick k distinct rows at random -----
-        let mut rng = rng(); // Changed from thread_rng()
-        let mut indices: Vec<usize> = (0..m).collect();
-        indices.shuffle(&mut rng);
+        // ----- initialise centroids -----
         let mut centroids = Matrix::zeros(k, n);
-        for (c, &i) in indices[..k].iter().enumerate() {
+        if k == 1 {
+            // For k=1, initialize the centroid to the mean of the data
             for j in 0..n {
-                centroids[(c, j)] = x[(i, j)];
+                centroids[(0, j)] = x.column(j).iter().sum::<f64>() / m as f64;
+            }
+        } else {
+            // For k > 1, pick k distinct rows at random
+            let mut rng = rng(); // Changed from thread_rng()
+            let mut indices: Vec<usize> = (0..m).collect();
+            indices.shuffle(&mut rng);
+            for (c, &i) in indices[..k].iter().enumerate() {
+                for j in 0..n {
+                    centroids[(c, j)] = x[(i, j)];
+                }
             }
         }