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What is true of the Normal Distribution?Group of answer choicesIt is symmetricAll distributions are Normal if you collect enough dataThe Normal is positively skewedThe Normal has 95 % of probability within one standard deviation Flag question: Question 2

Question

What is true of the Normal Distribution?Group of answer choicesIt is symmetricAll distributions are Normal if you collect enough dataThe Normal is positively skewedThe Normal has 95 % of probability within one standard deviation Flag question: Question 2

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Solution

The correct answer is "It is symmetric".

The Normal Distribution, also known as Gaussian distribution, is symmetric. This means that the left half of the distribution is a mirror image of the right half.

The statement "All distributions are Normal if you collect enough data" is not necessarily true. The shape of a distribution is determined by the nature of the data, not the amount of data collected.

The Normal Distribution is not positively skewed. A positively skewed distribution has a long right tail. Normal distributions are symmetric and have no skew.

The statement "The Normal has 95 % of probability within one standard deviation" is incorrect. In a Normal Distribution, about 68% of values drawn from a normal distribution are within one standard deviation away from the mean; about 95% of the values lie within two standard deviations; and about 99.7% are within three standard deviations. This is known as the empirical rule or the 68-95-99.7 rule.

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Similar Questions

Which one of the following is not true of the normal distribution?Answer choicesSelect only one optionREVISITA) A discrete probability distributionB) A bell shaped distributionC) The mean, median, and mode are all equal to one anotherD) Symmetrical distribution

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