Interpretation of Likert item using Quartils and IQR? Literature suggestions?

#1
Hey there,for my bachelor thesis I made a survey using 5- point Likert Items from strongly disagree (1) to strongly agree (5). Is there any consensus on how to interpret using quartils and the IQR, I thought of something like:

Q3 equals 2,00: overall strong disagree
Q2 equals 2,00: overall disagree
Q2 equals 3,00: no statement or tendency
Q2 equals 4,00: overall agree
Q3 equals 4,00: overall strong agree

or is there any literature about how to interpret 5 point likert using Quartiles ?

and about the consens, is there any literature how to interpret the IQR as a tool of consensus ?

Thanks in advance and best wishes

Daniel