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What proportion of a normal distribution falls above a z-score of 1.16?
Wiki User
∙ 11y ago
Pr(Z > 1.16) = 0.123
Wiki User
∙ 11y ago
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Why in a normal distribution the distribution will be less spread out when the standard diviation of the raw scores is small?
The standard deviation (SD) is a measure of spread so small sd = small spread. So the above is true for any distribution, not just the Normal.
Why is a cumulative frequency distribution so much more informative than just the relative frequency distribution?
It is not. It depends on what question you want to answer. They are both equally informative, but in different circumstances.the CRFD can be used to determine a summary of proportion of observations that lies above(or below) a particular value in a data set which the RFD cannot
What percent of data falls between 1 Standard deviation below and 2 stand deviations above the mean?
The answer will depend on what the distribution is. Non-statisticians often assum that the variable that they are interested in follows the Standard Normal distribution. This assumption must be justified. If that is the case then the answer is 81.9%
What is the purpose of a stem and leaf plot?
to simply organise your numbers.ajm If you can make a histogram, a dotplot, or even a boxplot; there is no reason to do a steam and leaf plot. It's the worst graph. With a stem and leaf graph, you can see the distribution of data points, and determine whether it's normal distribution or not. As mentioned above, there are better graphs for doing that, though.
What is the z score of a value that is the mean of a set of data?
z =0 and P(X< x) = 0.5 Explanation: z = (x-xbar)/sd, where xbar is the estimated mean or average of the sample, sd is the standard deviation, and x is the value of the particular outcome. We change x to z so that we can use the normal distribution or t-tables tables, which are based on a zero mean and 1 standard deviation. For example: What is the probability that the mean value of the distribution is 5 or less, given the sample average is 5 and the sd is 2? The z-score would be (5-5)/2 which is equal to 0. The probability, if we assume the normal or t-distribution, is 0.50. (see normal distribution tables) I hope this makes sense to you. The normal distribution is symmetrical. Per the example, a sample average of 5 tells you there is equal chance of the population mean being above and below 5.
What proportion of a normal distribution falls above a z-score of 2.10?
It is 0.017864
In the Standard Normal Distribution 2.5 of the data lies above the standardized value of z?
No, they do not.
Why in a normal distribution the distribution will be less spread out when the standard diviation of the raw scores is small?
The standard deviation (SD) is a measure of spread so small sd = small spread. So the above is true for any distribution, not just the Normal.
In a standard normal distribution about percent of the scores fall above a z-score of 3.00?
0.13
Does the median have 50 percent of the cases below only in a normal distribution?
No. By definition of the median, the median has 50 percent of the case below and 50 percent of the cases above. This has nothing to do with the cases being in a normal distribution.
In a normal distribution with mean 80 and variance 144 squared what is the probability above 100?
The probability is 0.4448, approx.
What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?
2.275 %
Is it true or false that The area under a normal distribution curve is always positive even if the z value is negative?
It is true. Because the normal distribution is above the horizontal axis for all values, the area under it is a positive quantity no matter the z value.
Why is a cumulative frequency distribution so much more informative than just the relative frequency distribution?
It is not. It depends on what question you want to answer. They are both equally informative, but in different circumstances.the CRFD can be used to determine a summary of proportion of observations that lies above(or below) a particular value in a data set which the RFD cannot
Does t-distribution rely on degree of freedom?
Yes. The parameters of the t distribution are mean, variance and the degree of freedom. The degree of freedom is equal to n-1, where n is the sample size. As a rule of thumb, above a sample size of 100, the degrees of freedom will be insignificant and can be ignored, by using the normal distribution. Some textbooks state that above 30, the degrees of freedom can be ignored.
What is used to calculate body mass index?
It gives a general perspective of the person's height vs fat proportion. It's not accurate specially in athletes or bodybuilders. Less than 23% is considered normal, above 24 overweight and above 30% morbidly obese
What body mass index use to calculate?
It gives a general perspective of the person's height vs fat proportion. It's not accurate specially in athletes or bodybuilders. Less than 23% is considered normal, above 24 overweight and above 30% morbidly obese
