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Chapter 1: Problem 59

Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data. Brand of toothpaste

Short Answer

Expert verified
The data type is qualitative, as it represents categories such as different toothpaste brands.

Step by step solution

01

Understanding the Question

The task is to identify the type of data that best describes the response to a question or survey about a brand of toothpaste. This involves recognizing the characteristics of the data type first.
02

Identify Data Types

Data can be classified into three types: quantitative discrete, quantitative continuous, and qualitative. Quantitative data involves numerical values, which are either discrete (countable) or continuous (measurable). Qualitative data refers to non-numeric categories or descriptions.
03

Classify the Brand of Toothpaste

Since a brand name, like 'Colgate' or 'Crest', is not a number but a category or description, this type of data is qualitative. It categorizes the response into different non-numeric groups based on the brand names.
04

Provide an Example

An example of qualitative data could be a survey response where participants answer 'Colgate', 'Crest', or 'Sensodyne' to the question about their preferred brand of toothpaste.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Qualitative Data
Qualitative data is all about categories and descriptions. It's not about numbers or measurements. Instead, qualitative data describes characteristics or features. One simple way to think of it is anything that answers the question "What kind?" or "Which kind?" rather than "How much?" or "How many?"

When we talk about qualitative data, we are talking about:
  • Types or categories - like brands, types, or colors.
  • Non-numeric information - these are not numbers, but can still provide valuable information.
In the context of the exercise, a brand of toothpaste like 'Colgate' or 'Crest' is an example of qualitative data. Each brand name falls into its own category, providing a way to group responses. Not every part of your investigation needs to include numbers to be meaningful.
Quantitative Data
Quantitative data is characterized by numbers and the ability to measure or count them. This type of data answers "How much?" or "How many?" with a definite numeric value. It allows statistical analysis and is generally considered more objective than qualitative data.

This data type comes in two subtypes:
  • Discrete Data: Countable numbers, often whole numbers, like the number of students in a class or the number of cars in a parking lot.
  • Continuous Data: Measurable numbers that can take on any value within a range, such as temperature or height.
For the exercise, since we are focusing on a brand of toothpaste, we don't use numbers, but if we were counting the number of toothbrushes sold, that would be discrete, whereas measuring the amount of toothpaste left in a tube would be continuous.
Discrete vs Continuous Data
Understanding the difference between discrete and continuous data helps us identify what kind of quantitative data we're working with. Both are numeric, but their characteristics differ in a fundamental way.

**Discrete Data**
Discrete data can only take on specific values, often whole numbers or counts. Think of them as the finite, countable data points:
  • Examples include the number of students in a classroom or the number of cars in a lot.
  • These data point values do not usually require a unit of measure, as they are simply counts.
**Continuous Data**
Continuous data, on the other hand, can take any value within a certain range, and are often measured rather than counted.
  • Examples include height, weight, and time.
  • These require units of measure and can include decimals, providing a more precise measurement.
While the exercise did not require us to determine this for toothpaste brands, keeping this distinction in mind is crucial for other numeric data scenarios you might encounter.

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Most popular questions from this chapter

For each of the following eight exercises, identify: a. the population, b. the sample, c. the parameter, d. the statistic, e. the variable, and f. the data. Give examples where appropriate. A cardiologist is interested in the mean recovery period of her patients who have had heart attacks.

Is a sample of 500 volunteers a reliable measure for a population of 2,500?

鈥淣umber of times per week鈥� is what type of data? a. qualitative b. quantitative discrete c. quantitative continuous

A 鈥渞andom survey鈥� was conducted of 3,274 people of the 鈥渕icroprocessor generation鈥� (people born since 1971, the year the microprocessor was invented). It was reported that 48% of those individuals surveyed stated that if they had $2,000 to spend, they would use it for computer equipment. Also, 66% of those surveyed considered themselves relatively savvy computer users. a. Do you consider the sample size large enough for a study of this type? Why or why not? b. Based on your 鈥済ut feeling,鈥� do you believe the percents accurately reflect the U.S. population for those individuals born since 1971? If not, do you think the percents of the population are actually higher or lower than the sample statistics? Why? Additional information: The survey, reported by Intel Corporation, was filled out by individuals who visited the Los Angeles Convention Center to see the Smithsonian Institute's road show called 鈥淎merica鈥檚 Smithsonian.鈥� c. With this additional information, do you feel that all demographic and ethnic groups were equally represented at the event? Why or why not? d. With the additional information, comment on how accurately you think the sample statistics reflect the population parameters.

What type of measure scale is being used? Nominal, ordinal, interval or ratio. a. High school soccer players classified by their athletic ability: Superior, Average, Above average b. Baking temperatures for various main dishes: 350, 400, 325, 250, 300 c. The colors of crayons in a 24-crayon box d. Social security numbers e. Incomes measured in dollars f. A satisfaction survey of a social website by number: 1 = very satisfied, 2 = somewhat satisfied, 3 = not satisfied g. Political outlook: extreme left, left-of-center, right-of-center, extreme right h. Time of day on an analog watch i. The distance in miles to the closest grocery store j. The dates 1066, 1492, 1644, 1947, and 1944 k. The heights of 21鈥�65 year-old women l. Common letter grades: A, B, C, D, and F
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