Types of Data In each of the following, identify the level of ...

Question

Types of Data In each of the following, identify the level of measurement of the sample data (nominal, ordinal, interval, ratio) and the type of sampling used to obtain the data (random, systematic, convenience, stratified, cluster).

b. In each of the 50 states, 50 voters are randomly selected and their political party affiliations are identified.

b. In each of the 50 states, 50 voters are randomly selected and their political party affiliations are identified.

Accepted Answer

Hello everyone. Let's take a look at this question together. Identify the level of measurement for the given sample data, nominal ordinal interval, or ratio, and determine the sampling method used random systematic, convenience, stratified, or cluster. A study selects 50 high school teachers at random from each of the 30 districts in a state and records their respective teaching subjects. Is it answer choice A, the level of measurement is nominal, and the sampling method is stratified? Answer choice B, the level of measurement is ordinal, and the sampling method is cluster. Answer choice C, the level of measurement is ordinal, and the sampling is stratified, or answer choice D, the level of measurement is nominal, and the sampling method is cluster. So in order to solve this question, we have to recall what we have learned about the nominal and ordinal level of measurement and the stratified and cluster sampling methods. Starting off with the level of measurements, we know that the nominal level of measurement involves categorizing data without any inherent order, and the ordinal level of measurement represents data with a meaningful order but without consistent differences between values. Then for these sampling methods. We can recall that the stratified sampling method is when the population is divided into groups or strata and a random sample is taken from each group, and the cluster sampling method is when the population is divided into groups or clusters and entire clusters are randomly selected for sampling. And so looking at the information provided in the question, we know that the study involves 50 high school teachers at random from each of the 30 districts in a state, and the study records their respective teaching subjects. Well, we know that teaching subjects are categorical in nature and do not have a meaningful order. Therefore, the level of measurement that is used in this study is nominal, as a nominal level of measurement categorizes data without any inherent order. So both answer choice B and answer choice C can be eliminated. And looking at the sampling method that was used in the study, where the teachers are selected randomly from each district and the population was divided into subgroups which are the districts, we can identify that the sampling method that was used in this study is. The stratified sampling method. So the level of measurement is nominal and the sampling method is stratified, which makes answer choice A the correct answer, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

Key Concepts

Levels of Measurement

Sampling Methods

Random Sampling

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