The standard normal distribution has the following properties:Question 10Select one:a.non-symmetrical, mean of zero and variance which approaches 1 as the degrees of freedom increases.b.symmetrical, mean of 1 and variance of zero.c.symmetrical, mean of zero and standard deviation of 1.d.non-symmetrical, mean of 1 and variance of zero.
Question
The standard normal distribution has the following properties:Question 10Select one:a.non-symmetrical, mean of zero and variance which approaches 1 as the degrees of freedom increases.b.symmetrical, mean of 1 and variance of zero.c.symmetrical, mean of zero and standard deviation of 1.d.non-symmetrical, mean of 1 and variance of zero.
Solution
The correct answer is c. symmetrical, mean of zero and standard deviation of 1.
The standard normal distribution, also known as the z-distribution, is a special type of normal distribution that is symmetrical and has a mean of zero and a standard deviation of 1. This is because it has been standardized to make calculations easier. The mean of zero indicates that the distribution is centered around zero, and the standard deviation of 1 indicates that the values in the distribution are spread out by an average of 1 unit from the mean.
Similar Questions
Which of the following is NOT a property of a normal distribution?Mean, median, and mode are all equalIt is symmetrical about the meanIt has a positive skewApproximately 68% of data lies within one standard deviation of the mean
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
Which of the following is a characteristic of the normal distribution?
What is the defining characteristic of a standard normal distribution? Group of answer choicesMean is 0 and variance is 1Mean is 1 and standard deviation is 0Mean is 1 and variance is 0Mean is 0 and standard deviation is 1
Which of the following is not a characteristic of the normal distribution? It is a symmetrical distribution The mean is always zero It is a bell-shaped distribution The area under the curve equals one None of the preceding
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.