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The mean and standard deviation of the marks of 200 candidates were
Splet05. nov. 2024 · The data follows a normal distribution with a mean score ( M) of 1150 and a standard deviation ( SD) of 150. You want to find the probability that SAT scores in your sample exceed 1380. To standardize your data, you first find the z score for 1380. The z score tells you how many standard deviations away 1380 is from the mean. SpletFor a group of 200 candidates, the mean and S.D. were found to be 40 and 15 respectively. Late on it was found that the score 43 was misread as 34. Find the correct mean and correct S.D.. Hard Solution Verified by Toppr We have n=200. xˉ40,σ=15 Now, xˉ= n1∑xi ∴2001 ∑xi=40 ⇒∑xi=40×200=8000 Since, the score was miss read this sum is incorrect fancy gunz
5.4: Normal Distribution - Mathematics LibreTexts
The standard deviation is usually calculated automatically by whichever software you use for your statistical analysis. But you can also calculate it by hand to better understand how the formula works. There are six … Prikaži več Standard deviation is a useful measure of spread fornormal distributions. In normal distributions, data is symmetrically distributed with no skew. Most values cluster around a central region, with values tapering off as they … Prikaži več Although there are simpler ways to calculate variability, the standard deviation formula weighs unevenly spread out samples more than … Prikaži več Different formulas are used for calculating standard deviations depending on whether you have collected datafrom a whole population or a sample. Prikaži več You can calculate the standard deviation by hand or with the help of our standard deviation calculator below. Prikaži več SpletQuestion: Calculate the mean, variance and standard deviation for the following data: Solution: N = ∑f = 55 Mean = (∑fxi)/N = 925/55 = 16.818 Variance = 1/ (N – 1) [∑fxi2 – 1/N (∑fxi)2] = 1/ (55 – 1) [27575 – (1/55) (925)2] = (1/54) [27575 – 15556.8182] = 222.559 Standard deviation = √variance = √222.559 = 14.918 SpletAnswer (1 of 5): The mean of the combined populations is 47. The problem is solved by calculating a weighted average. Multiply the mean by the population for each of the … fancy guns