Analysis
Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though analysis as a formal concept is a relatively recent development.
Data
Data ( DAY-tə, DAT-ə, DAH-tə) is a set of values of qualitative or quantitative variables.
Data Analysis
Data analysis is a process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information, suggesting conclusions, and supporting decision-making. Data analysis has multiple facets and approaches, encompassing diverse techniques under a variety of names, in different business, science, and social science domains.
Design
Design is the creation of a plan or convention for the construction of an object, system or measurable human interaction (as in architectural blueprints, engineering drawings, business processes, circuit diagrams, and sewing patterns). Design has different connotations in different fields (see design disciplines below). In some cases, the direct construction of an object (as in pottery, engineering, management, coding, and graphic design) is also considered to use design thinking.
Design
If you want a golden rule that will fit everybody, this is it: Have nothing in your houses that you do not know to be useful, or believe to be beautiful.
William Morris (1880) "The Beauty of Life," a lecture before the Birmingham Society of Arts and School of Design (19 February 1880), later published in Hopes and Fears for Art: Five Lectures Delivered in Birmingham, London, and Nottingham, 1878 - 1881 (1882).
Design
I think so many of the objects we're surrounded by seem trivial. And I think that's because they're either trying to make a statement or trying to be overtly different. What we were trying to do was have a very honest approach and an exploration of materials and surface treatment. So much of what we try to do is get to a point where the solution seems inevitable: you know, you think 'of course it's that way, why would it be any other way?' It looks so obvious, but that sense of inevitability in the solution is really hard to achieve.
Jonathan Ive (2003), Designer of the iMac, iBook and iPod, in iconeye 004 (July/August 2003)
Analysis
The terms synthesis and analysis are used in mathematics in a more special sense than in logic. In ancient mathematics they had a different meaning from what they now have. The oldest definition of mathematical analysis as opposed to synthesis is that given in Euclid, XIII. 5, which in all probability was framed by Eudoxus: "Analysis is the obtaining of the thing sought by assuming it and so reasoning up to an admitted truth; synthesis is the obtaining of the thing sought by reasoning up to the inference and proof of it."
Florian Cajori, A History of Mathematics (1893). p. 30