Breaking down the question
This is an evaluative question — "Do you think" — inviting a considered judgement rather than mere description. You are asked whether the "I" and the "me" are central to Mead's work. The expected answer is a qualified yes, defended with reasons.
To argue the case you must first explain what the two terms mean, then show how they connect to the rest of Mead's system — the social genesis of the self, role-taking, the play and game stages, and the generalised other. Centrality is demonstrated by showing that these concepts are the hinge on which his whole account of the self and its relation to society turns. Avoid simply defining the terms without arguing their significance.
How to approach it
State your thesis at the outset: the "I" and the "me" are indeed central, because they express Mead's core insight that the self is at once a social product and a reflexive, active agent.
Then define the pair. The "me" is the organised set of internalised attitudes of others — the socialised, object side of the self. The "I" is the spontaneous, creative response of the individual — the acting subject. Show that conduct is a continual conversation between them. Link this to the wider architecture: the "me" is built through role-taking and the generalised other, while the "I" preserves individuality and the possibility of change. Our Mead notes on self and identity set out the full sequence. Conclude by weighing their centrality against his other concepts.
Model answer
The "I" and the "me" occupy the heart of George Herbert Mead's account of the self, and it is defensible to call them his central terms. Mead's foundational claim is that the self is not innate but arises through social interaction, and its distinctive feature is reflexivity — the capacity to be both subject and object to itself. The "I" and the "me" are precisely the names Mead gives to these two phases of the reflexive self, so the distinction carries the weight of his whole theory.
The "me" is the self as object: the organised set of attitudes, expectations and standards of others that the individual has internalised through socialisation. It is the social self, formed by taking the roles of others and, ultimately, of the generalised other — the attitude of the whole community. The "me" makes conduct predictable, conventional and morally regulated. The "I", by contrast, is the self as subject: the immediate, spontaneous, sometimes unpredictable response of the organism to the situation it faces. It is the source of novelty, creativity and individuality. Every act, for Mead, is a conversation between the two — the "I" responds, and the "me" is the organised community of attitudes to which it responds.
Their centrality lies in what they resolve. Through this pairing Mead reconciles individual and society without reducing either to the other. The self is thoroughly social, since the "me" is society within, yet the person is not a mere puppet, because the "I" retains initiative and can modify received attitudes. Social order and social change are thus explained by a single mechanism. The play stage, the game stage and the generalised other all describe how the "me" is constructed; the "I" explains why conduct is never fully determined by it.
One might object that role-taking or the generalised other is equally fundamental. Yet these are best seen as the process by which the "me" forms; the "I"-"me" distinction is the conceptual core they serve. On balance, then, the terms are genuinely central.
Examiner's perspective
Because the question is evaluative, the examiner rewards a clear position argued with evidence, not a neutral catalogue of Mead's concepts. A script that defines the "I" and the "me" but never addresses whether they are central answers a different question.
Strong answers state a thesis, define both terms accurately — the "me" as the socialised object-self, the "I" as the spontaneous subject-self — and then demonstrate centrality by showing how the pair integrates the rest of Mead's system and resolves the individual-society problem. Weighing their importance against role-taking or the generalised other, before concluding, displays the balanced, argued judgement that distinguishes a first-class response.