diff --git a/DESCRIPTION b/DESCRIPTION
index f7bd15d..a566833 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -1,5 +1,5 @@
 Package: units
-Version: 0.8-5.2
+Version: 0.8-5.3
 Title: Measurement Units for R Vectors
 Authors@R: c(person("Edzer", "Pebesma", role = c("aut", "cre"), email = "edzer.pebesma@uni-muenster.de", comment = c(ORCID = "0000-0001-8049-7069")),
     person("Thomas", "Mailund", role = "aut", email = "mailund@birc.au.dk"),
diff --git a/NEWS.md b/NEWS.md
index d69dab9..9ec692e 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -2,7 +2,7 @@
 
 * Performance improvements in `data.frame` methods; suggested in #361 @grcatlin
 
-* Unclass object for summaries, instead of using `NextMethod`; #363
+* Fix `weighted.mean.units` for unitless objects; #363
 
 # version 0.8-5
 
diff --git a/R/summaries.R b/R/summaries.R
index 8dcf332..84cd5dc 100644
--- a/R/summaries.R
+++ b/R/summaries.R
@@ -33,12 +33,16 @@ print.units = function (x, ...) { # nocov start
 
 #' @export
 mean.units = function(x, ...) {
-  .as.units(mean(unclass(x), ...), units(x))
+  .as.units(NextMethod(), units(x))
 }
 
 #' @export
 weighted.mean.units = function(x, w, ...) {
-  .as.units(weighted.mean(unclass(x), unclass(w), ...), units(x))
+  u <- units(x)
+  x <- drop_units(x)
+  if (!missing(w))
+    w <- unclass(w)
+  .as.units(NextMethod(), u)
 }
 
 #' @export