In statistics, what exactly does it mean to be 95 % confident? What does independence mean in statistics? What type of statistical test is used if you do know: the population s.d., n is greater than 30, the sample mean, and the population mean? What do we understand for a "populatio...
Arithmetic mean is the sum of all observations divided by a number of observations. Arithmetic mean formula = {Sum of Observation}÷{Total numbers of Observations} Arithmetic mean formula =X=ΣXinX=ΣXin, where i varies from 1 to n. Examples on Arithmetic Mean Formula Example 1:The marks ob...
In mathematics and statistics, average refers to the sum of a group of values divided byn, wherenis the number of values in the group. An average is also known as amean. Like themedianand themode, the average is a measure of central tendency, meaning it reflects a typical value in a ...
The midhinge is relatively straightforward to calculate. Assuming that we know the first and third quartiles, we do not have much more to do to calculate the midhinge. We denote the first quartile byQ1and the third quartile byQ3. The following is the formula for the midhinge: (Q1+Q3) ...
The median in statistics is the middle value in a dataset when the values are arranged in order, with an equal number of values above and below it. Learn more through this blog.
Variance is calculated by using the following formula: σ2=∑i=1n(xi−x‾)2Nwhere:xi=Each value in the data setx‾=Mean of all values in the data setN=Number of values in the data setσ2=N∑i=1n(xi−x)2where:xi=Each value in the data setx=Mean of all...
What is quantum statistics? What is the Boltzmann distribution? Is entropy potential energy? What does the bell curve mean on a temperature-entropy diagram? When does entropy increase? Which state of matter has the highest entropy? What are Maxwell-Boltzmann distributions?
The Central Limit Theorem (CLT) is a cornerstone of probability and statistics. The theorem states that as the sample size increases, the mean distribution among several samples will resemble a Normal Distribution. When you don't know how a data set is distributed, you can use the C...
The formula for the conditional probability of AA happening given that BB has happened is: P(A | B)=P(A∩B)P(B).P(A | B)=P(A∩B)P(B). My textbook explains the intuition behind this in terms of a Venn diagram. Given that BB has occurred, the only way for AA to o...
A one-way ANOVA uses one independent variable. A two-way ANOVA uses two independent variables. Analysts use the ANOVA test to determine the influence of independent variables on the dependent variable in a regression study. While this can sound arcane to those new to statistics, the applications...