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Understanding mathematical facts and concepts and being able to apply them to real-world events is known as quantitative reasoning. Polya’s problem-solving technique is an excellent four-step method for dealing with these types of issues.
To represent conceptual information such as the physical system structure, causation, start and finish of processes, assumptions and conditions under which facts are true, qualitatively unique behaviour, and so on, qualitative reasoning is used. Observing pouring rain and a slowly rising water level in a river, for example, is sufficient information to prevent flooding without knowing the actual water level, the rate of change, or the time the river will flood.
Qualitative Research:
Qualitative research employs methodologies like participant observation or case studies to produce a narrative, descriptive account of a location or practice. These strategies are generally used by sociologists who reject positivism in favour of interpretive sociology.
Qualitative research is a situated activity in which the observer is located in the world. It is a collection of interpretive and material acts that make the world visible. These methods change the world. They transform the world into a sequence of representations, which include field notes, interviews, dialogues, images, recordings, and self-memo.
Types of Qualitative Research methods:
Anthropology
One of the most prominent qualitative research methodologies, ethnography, is the researcher immersing himself or herself in the daily life and routine of the topic or subjects.
This on-the-ground strategy can assist corporations in examining how consumers utilize specific products or services, and then developing new products or revamping old ones.
Narrative
In the narrative approach to qualitative research, the researcher collects data or facts from one or two persons through interviews, records, and other ways over time. These are then stitched together (not always in the same order) to provide theme-based responses and suggestions.
Example of application: A firm can use this strategy to better understand the issues that their target audience has, which can then be used to improve product creation and development.
Phenomenology
The Phenomenology qualitative research method is used to look into an event or activity from different perspectives. Interviews, films, on-site visits, and other approaches can be utilised to enhance current data with participants’ perspectives and observations on the activity or event. It is mostly a form of research based on personal experience or viewpoint.
Universities can use this strategy to better understand how students make decisions about which universities/colleges to apply to.
Grounded Theory
A query or set of data is the starting point for grounded theory. Repetitive thoughts or elements are coded, and codes are grouped or categorised, using systematic data gathering and analysis. These categories may be used to develop new hypotheses.
This strategy can be used by a product-based company to learn how their customers utilize their products or specific elements of their product or products.
Case study
The case study approach is used to collect in-depth and extensive information about a subject, which can be anything from an entity to an organisation to an event to something larger like a country. This qualitative research method might be either explanatory or exploratory in character.
Case studies are a great tool for a firm to establish plans, understand influences, devise new approaches, and so on.
Quantitative And Qualitative Data Reasoning Questions:
Example 1 :
Answer the following question by reading the following statements:
A. Fools pose questions that intelligent folks are unable to respond to. B. Being wise after the fact is simple. C. Being wise is foolish where ignorance is joy. D. Wise persons speak because they have something to say, whereas fools speak because they must.
Which proverb states that we should adapt our behaviour to the people with whom we interact?
- A
- B
- C
- D
Correct Answer: C
Explanation:
It is foolish to be wise when we are surrounded by fools.
Example 2 :
Directions A query and two assertions labelled (1) and (2), each of which contains particular facts, make up this data sufficiency problem.You must determine whether the information provided in the statements is sufficient to answer the question. You must determine whether: Using the information provided in the sentences, as well as your knowledge of mathematics and common knowledge (such as the number of days in July or the definition of the word counterclockwise),
- While statement (1) is sufficient by itself, statement (2) is insufficient to address the question.
- While statement (2) is sufficient by itself, statement (1) is insufficient to address the question
- Both assertions (1) and (2), when taken together, are sufficient to answer the question, but neither statement alone is sufficient.
- EACH STATEMENT IS ENOUGH TO RESPOND TO THE QUESTION ASKED.
- Together, statements (1) and (2) are insufficient to answer the issue, and additional data unique to the problem is required.
Question
What was the selling price of a house if a real estate agent received a commission of 6% of the sale price?
(1) The selling price was $84,600, minus the real estate agent’s commission.
(2) The selling price was equal to 250 percent of the $36,000 purchasing price.
(A) Statement (1) is sufficient on its own, while statement (2) is not.
(B) While statement (2) is sufficient on its own, statement (1) is not.
(C) BOTH statements are sufficient when read together, but neither statement is sufficient when read separately.
(D) EACH STATEMENT IS COMPLETE IN ITSELF.
(E) Together, statements (1) and (2) are insufficient.
Solution: (D)
Conclusion
By ensuring that the limitations of one form of data are balanced by the strengths of another, combining qualitative and quantitative data can improve an evaluation. This will ensure that comprehension is strengthened by the integration of multiple modes of knowledge.
