Jocularly

adv.joyful, kindformal

What it means

In a cheerful, joking manner.

Reach for it when describing good-humored speech in formal or slightly old-fashioned prose

He jocularly introduced the dog as the office supervisor.

playful
in fun
plain language should reassure that no harm was meant
not when Good intent alone does not ensure that the remark was harmless.
everyday
jokingly
the statement should not be understood literally
not when Jokingly marks nonliteral intent, even if the social manner feels cold.
warm
playfully
light affection makes the humor safe
not when Playfully can modify nonverbal actions and is broader than joking.
professional
wittily
clever phrasing deserves explicit praise
not when Wittily is wrong for a simple good-natured joke.
formal
facetiously
deliberate unseriousness about a serious topic is the fact
not when Facetiously often carries criticism and may imply evasion.
literary
genially
warm friendliness matters more than the joke
not when Genially can describe sincere speech with no humor.

jocularly observed
She jocularly observed that the kettle had joined the discussion.
jocularly called
He jocularly called the tiny shed the western headquarters.
speak jocularly
The chair could speak jocularly once the safety issue was resolved.

Jocularly is rare. Jokingly or playfully will usually be clearer.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.