Apr 23, 2012 · Without doing any assumption on the score distribution, is almost impossible to answer this question. The worst case is that 3/95 of the student has scored 0, and 92/95 of them 95 + ϵ, in that case you are ranked in the worst 3/95. The best case is that everyone has scored 92 point, so you are the best one. Every percentile between 3/95 and 1
Mar 26, 2023 · Key Takeaway. The Empirical Rule is an approximation that applies only to data sets with a bell-shaped relative frequency histogram. It estimates the proportion of the measurements that lie within one, two, and three standard deviations of the mean. Chebyshev’s Theorem is a fact that applies to all possible data sets.
However, in this case, you will not be able to consult the z-table since it applies on to the normal distribution. But use z scores in a not normal distribution, imo, doesn't make sense. The only advantage in using z scores is being able to use the z-table, since you won't be able to use the z-table, the z score loses its purpose.
Jun 7, 2020 · Note that in order to use the Student’s t-test (the parametric version of the Wilcoxon test), it is required that both samples follow a normal distribution if samples are small. 2 Therefore, even if one sample follows a normal distribution (and the other does not follow a normal distribution), it is recommended to use the non-parametric test.
May 14, 2020 · Welch Two Sample t-test data: sample_1 and sample_2 t = -3.1827, df = 996.74, p-value = 0.001504 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval: -0.9387957 -0.2226748 sample estimates: mean of x mean of y 4.956549 5.537284. Now, to see that the difference in means is normal enough, we simulate
Aug 15, 2021 · In this case the standard normal table cannot be consulted, since the shape of the distribution of Z-scores is the same as that for the original non-normal distribution. How is z-score calculated? To calculate the Z-score, subtract the mean from each of the individual data points and divide the result by the standard deviation.
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  • can i use z score for non normal distribution