Statistics is the study of data that includes its collection, organization, analysis, and presentation. It is a mathematical term; you can call it a branch of applied maths. It's a crucial topic for mathematics students as well as for almost all fields of education. However, its applications are in various categories. Therefore, students often get assignments and homework related to this. So they can learn it from the early stages of their academic studies. Since it is a complex subject for students hence they need help to complete it on time. Some students learn it from lessons and classes, while some seek online help. You can search statistics homework help for instant results.
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Probability
Probability is a branch of mathematics that tells about how likely an event is going to occur. The probability of an event occurring can be 0 or 1. There are three major types of probability
- Theoretical 2. Experimental 3. Axiomatic.
Basics of Statistics
Generally, there are two major basics of statistics: measure of central tendency and measure of dispersion.
1. Measure of Central Tendency
Central tendency is a set of data that defines the value of the entire collection. The data is centred on a value. That's why it's called central tendency. It includes mean, medium, and mode. Many of you face difficulty in understanding its concepts, but by asking for thesis writing help from experts, you can remove it.
Mean
It is the most common parameter of central tendency as it shows the average value of given data.
Mathematically, it is equal to the sum of all the values divided by the total number of values. You can also call it arithmetic Mean.
Mean = sum of all observations/total number of observations
The Mean is denoted by an x-bar
For example
If the weight of 5 people is 60kg, 75kg, 56kg, 81kg, and 64kg
Hence, Mean weight
= (60+75+56+81+64)/5
= 336/5
= 67.2 kg
Median
If you arrange the set of data in ascending order, the middle value of data is the median. In other words, it is the midpoint of arranged data. Most importantly, remember to set it in an ascending order. If your set of values contains an odd number, then you can find the middle one as a median. But if the total number is an even digit, then you can add them both and divide by 2 to find the median. Overall, this value separates the highest and lowest values equally.
Median= [(n+1)/2]th observation
Here n= total number of observations (if odd)
- For example
Consider the data 2, 1, 3, 5, 4
Set in an order 1, 2, 3, 4, 5
Hence, median value = 3
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Median=[(n/2)th obs. + (n/2)+1th obs.] / 2
Here, n = total number of observations (if even)
- For example
Let's consider the data 50+42+38+44+60+20
Ascending order= 20, 38, 42, 44, 50, 60
Here n= 6
n/2= 6/2= 3
Median= [3+ (3+1)]/2
= (3+ 4) /2
= (42+44)/2
= 86/2
= 43
Mode
Mode is the value that appears the most often in the data. In other words, it is the observation with the highest frequency.
- For example,
consider the data 2, 4, 1, 2, 0, 3, 5,
Number 2 appears the most often, so the mode of the data is 2.
As the word says MODE Most Often Data Entered.
There could be more than one number that appears the most often. Hence, you can call it unimodal, bimodal, trimodal, or multimodal according to the number of values of the mode.
Formula of Mode= observation with maximum frequency
2. Measure of Dispersion
The measure of central tendency does not describe the extent of variability. There can be the same values for two data sets, but they can also be entirely different. The measure of dispersion is the solution to this problem. In other words, dispersion helps to understand the distribution of data. Understanding this concept is not easy and many of you suffer from its complicated process. However, you can ask for thesis writing help from experts to remove your issues.
There are two types of dispersion methods in statistics: The absolute measure of dispersion and the Relative measure of dispersion.
The Absolute Measure of Dispersion
The absolute data is the same unit as the original data. There are three common absolute measures of dispersion: Range, variance, and standard deviations.
- Range means the difference between maximum and minimum values.
- Variance= (σ2) = ∑(X−μ)2/N
It deducts the mean from each data set, then squares, and adds each of them to divide them from the total number of values to get the variance.
- Standard deviations= square root of variance is called standard deviations S.D.=√σ
Relative Measure of Dispersion
The relative measure of dispersion is used to compare the distribution of two or more sets of data, but it has no unit. You can also call it the coefficient of dispersion. You can denote it as C.D.
Conclusion
Probability and statistics are crucial parts of mathematics. Generally, probability tells you about the chances of an event occurring, while statistics shows the values of data. Both are complicated yet interesting topics to study. However, you can get better with practice. If you want to get instant help in statistics homework to make it simpler, you can search for statistics homework help.
