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The central limit theorem applies to which type of data?a.Ordinal datab.Categorical datac.Continuous datad.Discrete data

Question

The central limit theorem applies to which type of data?

a. Ordinal data
b. Categorical data
c. Continuous data
d. Discrete data

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Solution

The Central Limit Theorem (CLT) applies to both continuous and discrete data.

Here's why:

a. Ordinal data: The CLT does not apply to ordinal data because this type of data involves rankings (1st, 2nd, 3rd, etc.), and the distances between rankings are not necessarily equal.

b. Categorical data: The CLT does not apply to categorical data because this type of data involves categories that do not have a numerical or ordered relationship (e.g., types of fruit, colors, etc.).

c. Continuous data: The CLT does apply to continuous data. Continuous data can take on any value within a certain range (e.g., height, weight, temperature, etc.). The CLT states that if you take a large enough sample from a population, the mean of the sample will be approximately equal to the mean of the population, and the distribution of the sample means will approach a normal distribution.

d. Discrete data: The CLT also applies to discrete data. Discrete data can only take on certain values (e.g., number of children in a family, number of cars in a parking lot, etc.). Like with continuous data, the CLT states that if you take a large enough sample from a population, the mean of the sample will be approximately equal to the mean of the population, and the distribution of the sample means will approach a normal distribution.

So, the Central Limit Theorem applies to both continuous and discrete data.

This problem has been solved

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