Problem 6

Question

Which of the following is an example of qualitative data? (A) The fish swam in a zigzag motion. (B) The contents of the stomach are mixed every 20 seconds. (C) The temperature decreased from \(20^{\circ} \mathrm{C}\) to \(15^{\circ} \mathrm{C}\). (D) The six pairs of robins hatched an average of three chicks each.

Step-by-Step Solution

Verified
Answer
A: 'The fish swam in a zigzag motion'
1Step 1 - Understand Qualitative Data
Qualitative data is descriptive and often involves characteristics, categories, or non-numerical attributes. It describes qualities or features, rather than quantities.
2Step 2 - Analyze Each Option
Examine each option to determine if it describes qualitative data (descriptive, non-numerical): A: 'The fish swam in a zigzag motion' is descriptive and non-numerical. B: 'The contents of the stomach are mixed every 20 seconds' is numerical.C: 'The temperature decreased from 20°C to 15°C' is numerical.D: 'The six pairs of robins hatched an average of three chicks each' is numerical.
3Step 3 - Identify the Qualitative Option
Among the options, only A ('The fish swam in a zigzag motion') describes a qualitative attribute.

Key Concepts

descriptive datanon-numerical datadata analysis
descriptive data
Descriptive data provides detailed descriptions of characteristics, behaviors, and features. It helps to give more context to what is being observed and recorded. This type of data is common in surveys and interviews where responses are verbal or written and give insight into people's experiences and opinions.

An example from the given exercise would be: 'The fish swam in a zigzag motion.' This describes the movement pattern of the fish without using numbers.
Descriptive data can include:
  • Color, such as red, blue, or green
  • Behavior, like jumping or running
  • Emotions, such as happy or sad
  • Smells, like sweet or sour
This type of data helps to add detail and depth to data analysis and is valuable in fields like sociology and marketing.
non-numerical data
Non-numerical data refers to data that cannot be measured in numbers. Instead, it is presented in forms like words, categories, or images. This type of data captures the qualitative aspects of the subject matter.

In the provided exercise, non-numerical data is exemplified by option A: 'The fish swam in a zigzag motion.' This statement provides information about the pattern of movement without using numbers.

Forms of non-numerical data include:
  • Descriptions such as 'tall' or 'short'
  • Categories like 'types of music' or 'species of plants'
  • Opinions or feelings, like 'satisfied' or 'unsatisfied'
  • Visual elements, such as photographs or drawings
Non-numerical data is crucial in areas where understanding context and descriptions is important, like literature or cultural studies.
data analysis
Data analysis involves examining, cleaning, and interpreting data to discover useful information and reach conclusions. It can be applied to both numerical and non-numerical data, but the methods vary.

For qualitative data, analysis might include:
  • Identifying patterns or themes, such as common words used in interview responses
  • Categorizing data into groups, like different types of behaviors observed
  • Interpreting meanings and implications, such as what a certain behavior might indicate about a group
In the given exercise, identifying option A as qualitative data required analyzing the non-numerical nature of the information given about the fish's movement.

Data analysis is essential for making informed decisions and understanding various phenomena. For qualitative data, it often involves more subjective interpretation but provides a rich, detailed view of the subject matter.