diff --git a/pygmt/datatypes/grid.py b/pygmt/datatypes/grid.py
index 4be2599afd5..18ad679aeef 100644
--- a/pygmt/datatypes/grid.py
+++ b/pygmt/datatypes/grid.py
@@ -139,8 +139,8 @@ def to_dataarray(self) -> xr.DataArray:
             title:         Produced by grdcut
             history:       grdcut @earth_relief_01d_p -R-55/-47/-24/-10 -Gstatic_ea...
             description:   Reduced by Gaussian Cartesian filtering (111.2 km fullwi...
-            long_name:     elevation (m)
             actual_range:  [190. 981.]
+            long_name:     elevation (m)
         >>> da.coords["lon"]  # doctest: +NORMALIZE_WHITESPACE, +ELLIPSIS
         <xarray.DataArray 'lon' (lon: 8)>...
         array([-54.5, -53.5, -52.5, -51.5, -50.5, -49.5, -48.5, -47.5])
diff --git a/pygmt/datatypes/header.py b/pygmt/datatypes/header.py
index d7806e50a24..1cef6d38b38 100644
--- a/pygmt/datatypes/header.py
+++ b/pygmt/datatypes/header.py
@@ -210,17 +210,17 @@ def data_attrs(self) -> dict[str, Any]:
             GridFormat.NI,
             GridFormat.NF,
             GridFormat.ND,
-        }:  # Only set the 'Conventions' attribute for netCDF.
+        }:  # Set attributes specific to CF-1.7 conventions
             attrs["Conventions"] = "CF-1.7"
-        attrs["title"] = self.title.decode()
-        attrs["history"] = self.command.decode()
-        attrs["description"] = self.remark.decode()
+            attrs["title"] = self.title.decode()
+            attrs["history"] = self.command.decode()
+            attrs["description"] = self.remark.decode()
+            attrs["actual_range"] = np.array([self.z_min, self.z_max])
         long_name, units = _parse_nameunits(self.z_units.decode())
         if long_name:
             attrs["long_name"] = long_name
         if units:
             attrs["units"] = units
-        attrs["actual_range"] = np.array([self.z_min, self.z_max])
         return attrs
 
     @property
diff --git a/pygmt/datatypes/image.py b/pygmt/datatypes/image.py
index 037db5c2a6e..773c3cdb78a 100644
--- a/pygmt/datatypes/image.py
+++ b/pygmt/datatypes/image.py
@@ -145,11 +145,7 @@ def to_dataarray(self) -> xr.DataArray:
           * x        (x) float64... -179.5 -178.5 -177.5 -176.5 ... 177.5 178.5 179.5
           * band     (band) uint8... 1 2 3
         Attributes:
-            title:
-            history:
-            description:
             long_name:     z
-            actual_range:  [ 1.79769313e+308 -1.79769313e+308]
 
         >>> da.coords["x"]  # doctest: +NORMALIZE_WHITESPACE, +ELLIPSIS
         <xarray.DataArray 'x' (x: 360)>...