# Standard deviation

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The symbol for standard deviation is this little g with the bottom cut off. It looks like this σ. It’s actually meaning is how far apart numbers are. To find the Standard Deviation you have to square the variance for the range of numbers whose standard deviation you are trying to find. You only need 3 things to find Standard deviation, 1 a set of data, 2 the mean of that data, 3 the variance for the numbers. An example would be A zoo keeper wants to see if all the monkeys in the zoo are close to the same weight or not close to the same weight. He takes the mean weight of all the monkeys. He then calculates the variance, then he square roots the variance which gives him the standard deviation. His standard deviation is very high. This indicates that the monkeys are of many different weights, or that he has a few monkeys who are either really fat or really skinny. This can apply in a career too. Say you are looking for a new job you are told that the average starting salary for someone working at the place you 're applying is \$80,000 you may think that this has just become your dream come true, but if the standard deviation for starting salaries at is \$25,000. That’s a lot of give or take room that could save you…

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1. Z- test is used when the sample size is large enough n>30, the population standard deviation is known, and population is normally distributed. Example: Is the mean of systolic blood pressure level for women use of oral contraceptives is identical with women does not use of oral contraceptives, the sample mean > 30, we known the population standard deviation and it is normally distributed. H0: µ1=µ2 H1: µ1≠µ2 2. t- test is used when the population standard deviation is…

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analysis is made of a variance measure which could improve the predictive validity of a classical historical variance estimate. Latane and Rendleman derived standard deviations implied in actual call option prices (ISDs) after assuming that investors price options according to the Black-Scholes model. Their results indicated that the approach is valuable, at least from a pragmatic viewpoint.” Becker’s, S. (1981). Becker’s refers that the prediction of stock values rely heavily on their reliance…

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Statistical analysis Each defect was considered as a statistical unit. Primary study outcomes were changes in CAL at the six-month evaluation period. Descriptive data that included mean ± standard deviation (SD) were calculated for clinical and radiographic parameters at baseline and 6 months. Following this, the data were subjected to statistical analysis using the Wilcoxon signed rank test for intragroup comparison and the Mann-Whitney U test for intergroup comparison. The level of…

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what the statistic show. Also, a deduction will made as to which was the most and the least important to shoppers. Ease of Return/Exchange Goods In the category of ease of returning or exchanging goods, the mean was 4.913, a mode of 7, a range of 6, and a standard deviation of 2.066. The mean for the category fell in the middle of all the other categories and…

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distinguishing a change (Hergenhahn & Henley, 2014). Basically, there should be a noticeable and systematic increase in the standard deviation based on an increase in size of the target circle, while the matching circle mean should stay close to the actual physical size of the target circle. In other words, it should be possible to see a progressive and regular increase in the standard deviation from a 10-, to a 30-, to a 50-pixel circle; and alternately, a systematic decrease in the standard…

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¥ For how many students do you have Verbal Aggressiveness scores? We have Verbal Aggressiveness scores for 59 students. ¥ What is the mean for the entire sample? The mean for the entire sample is 44.0169. ¥ How do you interpret the mean score? When we interpret the mean score, we should look at the minimum and the maximum scores, so we can see the mean are close to each one. In verbal aggressiveness, the minimum is 26 and the maximum is 65, which indicates that the mean around the middle of…

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One Sample T-Test: As proven by the one sample t-test (Figure 1) where the true mean of the difference of history chapter pages read is the unknown variable, there is significant statistical evidence at the standard 0.05 alpha value that listening to music while reading or studying increases scope of study. Because the t-value is positive, it is reasonable to note that listening to one’s favored music has a positive impact on reading larger quantities. 95% of all samples of differences in pages…

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Within the value of one standard deviation, it is interpreted that about 68 percent of the people are between 21-30 and 61-70 years of age. Based on the mean of age, it can be concluded that there is an older population in town B. Moreover, the result describes the average of productive land per hectare is almost a quarter of total productive land in town B, which indicates the city is rich of fertile land. This may result in a high average of production and year of cultivation, which is 11…

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as more water is added indefinitely. The data in the experiment actually showed that giving a plant more water caused more seeds to germinate from 0 to 75 drops of water/hour, proven by the averages of 0 for 0 drops/hour, 32.6 for 25 drops/hour, 49.2 for 50 drops/hour, and 71 for 75 drops/hour. The amount of germinated seeds decreased at 100 drops/hour to an average of 59.8.This was measured and calculated by using a calculator to calculate the standard deviation and correlation coefficient.…

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