a base
of equations
The sum of the differences between sample observations and the sample mean is always equal to zero. This is because the sample mean is calculated as the average of the observations, and when you subtract the mean from each observation, the positive and negative differences cancel each other out. Mathematically, this can be expressed as Σ(xi - x̄) = 0, where xi represents each individual observation and x̄ is the sample mean.
No, the standard deviation is a measure of the entire population. The sample standard deviation is an unbiased estimator of the population. It is different in notation and is written as 's' as opposed to the greek letter sigma. Mathematically the difference is a factor of n/(n-1) in the variance of the sample. As you can see the value is greater than 1 so it will increase the value you get for your sample mean. Essentially, this covers for the fact that you are unlikely to obtain the full population variation when you sample.
Mathematically is an adverb.
if an equation is given the correct answer, it is mathematically correct.
Mathematically Alive was created in 2007.
If the police have a valid suspect they can obtain a DNA sample from them and by submitting both the evidentiary piece of hair and the obtained sample - if both samples match it is usually mathematically conclusive proof that the suspect hair strand came from that individual.
The duration of Mathematically Alive is 1.57 hours.
Its density. Density is mass per unit volume.
The margin of error decreases as the sample size ( n ) increases because a larger sample provides more information about the population, leading to more accurate estimates of population parameters. This increased accuracy reduces the variability of the results, thereby narrowing the confidence interval. Mathematically, the margin of error is inversely proportional to the square root of the sample size, meaning that as ( n ) increases, the margin of error decreases. In essence, larger samples yield more reliable data, resulting in a smaller margin of error.
mathematically
Mathematically impossible.
You can learn to write algorithms mathematically in high school