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Chapter 6: Q6.17 (page 260)

Two normally distributed variables have the same means and same standard deviations. What can you say about their distributions? Explain your answer.

Short Answer

Expert verified

Normal distributions having same means and same standard deviations have same distributions

Step by step solution

01

Basics 

Normal Distribution is continuous probability distribution curve; which is non skewed, symmetric and has a bell shape.

Mean of the distribution shows mathematical average as a measure of central tendency. Standard deviation shows spread, scattered-ness as a measure of dispersion.

02

Explanation 

If means and standard deviations of two variables are equal, their average (centre) & their dispersion (spread) are same.

So, the two normal distributions are identical or same.

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Most popular questions from this chapter

Elephant Pregnancies. G. Wintemeyer et al. studied demographic data on African elephants living in Kenya in the article "Comparative Demography of an At-risk African Elephant Population (PLOS ONE, Vol. 8. No. 1). Based on this study, we will assume that the time between pregnancies of the African elephant in Kenya, for elephants that have more than one calf, is normally distributed with mean of 4.01 years and a standard deviation of 0.94 years. Determine the percentage of such times that are

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