diff --git a/docs/querying/functions.md b/docs/querying/functions.md
index 64e172000f..883f788a9b 100644
--- a/docs/querying/functions.md
+++ b/docs/querying/functions.md
@@ -459,7 +459,7 @@ the zero bucket and for buckets with custom boundaries, the arithmetic mean is u
 For the usual exponential buckets, the geometric mean is used. Float samples are ignored
 and do not show up in the returned vector.
 
-Similarly, `histogram_stdvar(v instant-vector)` returns the estimated standard
+Similarly, `histogram_stdvar(v instant-vector)` returns the estimated
 variance of observations for each native histogram sample in `v`.
 
 ## `hour()`
@@ -866,7 +866,7 @@ over time and return an instant vector with per-series aggregation results:
 * `count_over_time(range-vector)`: the count of all samples in the specified interval.
 * `quantile_over_time(scalar, range-vector)`: the φ-quantile (0 ≤ φ ≤ 1) of all float samples in the specified interval.
 * `stddev_over_time(range-vector)`: the population standard deviation of all float samples in the specified interval.
-* `stdvar_over_time(range-vector)`: the population standard variance of all float samples in the specified interval.
+* `stdvar_over_time(range-vector)`: the population variance of all float samples in the specified interval.
 * `last_over_time(range-vector)`: the most recent sample in the specified interval.
 * `present_over_time(range-vector)`: the value 1 for any series in the specified interval.
 
diff --git a/docs/querying/operators.md b/docs/querying/operators.md
index f822709c7c..82b0be78db 100644
--- a/docs/querying/operators.md
+++ b/docs/querying/operators.md
@@ -400,7 +400,7 @@ vector of fewer elements with aggregated values:
 * `count_values(l, v)` (count number of elements with the same value)
 
 * `stddev(v)` (calculate population standard deviation over dimensions)
-* `stdvar(v)` (calculate population standard variance over dimensions)
+* `stdvar(v)` (calculate population variance over dimensions)
 * `quantile(φ, v)` (calculate φ-quantile (0 ≤ φ ≤ 1) over dimensions)
 
 These operators can either be used to aggregate over **all** label dimensions
@@ -563,7 +563,7 @@ an info-level annotation.
 
 #### `stdvar`
 
-`stdvar(v)` returns the standard deviation of `v`.
+`stdvar(v)` returns the variance of `v`.
 
 `stdvar` only works with float samples, following IEEE 754 floating
 point arithmetic. Histogram samples in the input vector are ignored, flagged by
diff --git a/web/ui/mantine-ui/src/promql/functionDocs.tsx b/web/ui/mantine-ui/src/promql/functionDocs.tsx
index 75a4a767a7..fd94895996 100644
--- a/web/ui/mantine-ui/src/promql/functionDocs.tsx
+++ b/web/ui/mantine-ui/src/promql/functionDocs.tsx
@@ -518,8 +518,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -838,8 +838,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -1153,8 +1153,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -1581,8 +1581,8 @@ const funcDocs: Record<string, React.ReactNode> = {
       </p>
 
       <p>
-        Similarly, <code>histogram_stdvar(v instant-vector)</code> returns the estimated standard variance of
-        observations for each native histogram sample in <code>v</code>.
+        Similarly, <code>histogram_stdvar(v instant-vector)</code> returns the estimated variance of observations for
+        each native histogram sample in <code>v</code>.
       </p>
     </>
   ),
@@ -1597,8 +1597,8 @@ const funcDocs: Record<string, React.ReactNode> = {
       </p>
 
       <p>
-        Similarly, <code>histogram_stdvar(v instant-vector)</code> returns the estimated standard variance of
-        observations for each native histogram sample in <code>v</code>.
+        Similarly, <code>histogram_stdvar(v instant-vector)</code> returns the estimated variance of observations for
+        each native histogram sample in <code>v</code>.
       </p>
     </>
   ),
@@ -1958,8 +1958,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -2109,8 +2109,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -2219,8 +2219,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -2329,8 +2329,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -2545,8 +2545,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -2655,8 +2655,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -3137,8 +3137,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -3247,8 +3247,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -3357,8 +3357,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -3623,8 +3623,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -3733,8 +3733,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -3843,8 +3843,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.
@@ -3953,8 +3953,8 @@ const funcDocs: Record<string, React.ReactNode> = {
           specified interval.
         </li>
         <li>
-          <code>stdvar_over_time(range-vector)</code>: the population standard variance of all float samples in the
-          specified interval.
+          <code>stdvar_over_time(range-vector)</code>: the population variance of all float samples in the specified
+          interval.
         </li>
         <li>
           <code>last_over_time(range-vector)</code>: the most recent sample in the specified interval.