Statistics, the study of data, plays a crucial role in society. Almost all the generalized information, summarizations, and insights you come across in newspapers & the Internet are statistical information. The undeniable importance, all-pervasiveness and potency of statistics make it an integral aspect of academics. However, statistics aren’t that easy, and many pupils require statistics homework & statistics assignment help quite frequently.
If you are struggling with your stat formulae, this handy statistics formula sheet can help. It has all the formulae you need to solve every generic stat problem that comes your way.
Statistical science generally studies a population. A population can be a collection of any entity, from people to objects, or a set of any data. To study a population, we select a sample, where sampling involves selecting an appropriate subset and studying to gain more information about the population. The characteristics of a sample are representative of the population.
A statistic is data that represents a property of the sample. And a parameter informs us about a property of the population.
Now, some of the most common and crucial formulas in descriptive statistics measure the location of the data. Common measures of location are quartiles and percentiles.
Consider the following set: 1, 11.5, 6, 7.2, 4, 8, 9, 10, 6.8, 8.3, 2, 2, 10, 1 Ordering them from smallest to largest, we have: 1, 1, 2, 2, 4, 6, 6.8, 7.2, 8, 8.3, 9, 10, 10, 11.5. As there are 14 observations, the medina will lie between the seventh and eighth elements. Therefore, we add the two values together to find the median and divide the sum by two.
A median value of 7 signifies that half of the values are less than seven, and half are greater than seven.
Let's now look at measures of the center of the data.
The two most widely used measures of locating the data centre are MEAN (AVERAGE) and the median.
The most common measure of variation or spread is the STANDARD VARIATION. It is a measure for determining how far data values are from the mean. It also provides a numerical approximation of the overall amount of variation intrinsic to the data set.
x – x’ is the deviation value for a sample, and x - m values for the population. x’ is thus the sample mean, while m is the population mean.
Procedures to calculate the standard deviation depend on whether the values represent the entire population or are just data from a sample. So again, the calculations are pretty similar but not the same.
S represents the sample standard deviation, while the Greek letter represents the population standard deviation.
Where N is the total number of items in a population and n is the number of items in the sample. Inferential statistics uses probability to infer about populations. The sub-branch is often used to predict outcomes and events.
BAYES THEOREM is central to conditional probability and a primary concept in inferential statistics. Note that the conditional probability of an event is obtained with additional information that some related or independent event has already occurred. Bayes theorem extends that for a more accurate calculation of probability value.
One key thing to remember is that we are dealing with sequential events in scenarios where the Bayes theorem is applicable. In that context, the terms prior probability and posterior probability are used.
P(B|A) = P(A|B) P(B) / P(A|B) P(B) + P(A|B’) P(B’)
Where B’ is the probability of B not occurring.
That’s all the space we have for today. Hope this statistics formula sheet aids you big time in solving your assignments. However, if you are looking for expert statistics homework & assignment help, Tophomeworkhelper.com has the brightest bunch of experts on standby!
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