Question

Central limit theorem and central tendency are same things true or false?

Answer 1

Central limit theorem: The mean of the sample population will be approximately equal to the mean of the whole population.

Central tendency: The center or the middle location of the distribution is the average value of a probability distribution.

Difference: Central limit theorem calculated the mean or average while the central tendency gives the central value.

Hence, the statement is false.

Answer 2

‘Central limit theorem and central tendency are same things’ is a FALSE statement.

Explanation:

• Central Limit Theorem: In a probability theory, CLT can be stated as the sample distribution means approximation of normal distribution. In statistical theory provided with large sample population size, will be equal to the mean of the population.

• Central tendency:  It is a ‘central or typical value’ for a given probability distribution. It can also be defined as location or a center of the given distribution. Their measurements are known as average.  

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