Probability and Statistics is one of the main branch of mathematics. It deals with population and chance. In statistics we read about stats of different kinds their arrangement, collection, classification, analysis and interpretation. In probability we deal with the study of chances and their ways. Probability mainly consists of permutations and combinations. There are many uses of probability in statistics. Let us have a look at what we study in probability and statistics.
Statistics has two different meanings. One is the data and other is a discipline. The data is facts and figures which we come across different conditions in our life and discipline refers to the collection, analysis and interpretation of those data. In the beginning of the study of statistics we deal with its different types of distributions. Then we deal with measures of central tendency. They are mean, median and mode. After it we deal with measures of dispersion. They are range, mean deviation and standard deviation. This study gives us a broad view of the data. The mean is the value which is the most probable when the whole data is taken into account. Median tells us about the middle, quartile, decile and percentile. Mode tells us which value occurs the most. The measure of dispersion tells us about the trend of the data, how much it is away with respect to the mean and the square of the mean. Then we deal with skewness and kurtosis. A measure of skewness would tell us how far the frequency curve of the given frequency distribution deviates from a symmetric one. On the other hand, a measure of kurtosis gives us some information about the degree of flatness (or peakedness) of the frequency curve. Then we deal with how one type of data is related to other type of data. Such study is dealt in correlation and regression. These things deals with statistics. To study more in statistics we need knowledge of probability.
In probability we deal with Random Experiment, sample space, event and algebra of events. Then we deal with probability of discrete sample space. After it we study about probability distributions. These are Bernoulli, Binomial, Multinomial, Hypergeometric, Geometric, Poisson and Negative Binomial. These are standard probability distributions. Then we deal with univariate distributions. After it we deal with standard continuous distributions. They are Normal, Gamma or Exponential, Beta Distributions. Then we deal with bivariate distributions. Then comes functions of random variables chi-square distribution, t-distribution and F-distribution. Then we end the topic by studying the methods used in factories.
Statistics has two different meanings. One is the data and other is a discipline. The data is facts and figures which we come across different conditions in our life and discipline refers to the collection, analysis and interpretation of those data. In the beginning of the study of statistics we deal with its different types of distributions. Then we deal with measures of central tendency. They are mean, median and mode. After it we deal with measures of dispersion. They are range, mean deviation and standard deviation. This study gives us a broad view of the data. The mean is the value which is the most probable when the whole data is taken into account. Median tells us about the middle, quartile, decile and percentile. Mode tells us which value occurs the most. The measure of dispersion tells us about the trend of the data, how much it is away with respect to the mean and the square of the mean. Then we deal with skewness and kurtosis. A measure of skewness would tell us how far the frequency curve of the given frequency distribution deviates from a symmetric one. On the other hand, a measure of kurtosis gives us some information about the degree of flatness (or peakedness) of the frequency curve. Then we deal with how one type of data is related to other type of data. Such study is dealt in correlation and regression. These things deals with statistics. To study more in statistics we need knowledge of probability.
In probability we deal with Random Experiment, sample space, event and algebra of events. Then we deal with probability of discrete sample space. After it we study about probability distributions. These are Bernoulli, Binomial, Multinomial, Hypergeometric, Geometric, Poisson and Negative Binomial. These are standard probability distributions. Then we deal with univariate distributions. After it we deal with standard continuous distributions. They are Normal, Gamma or Exponential, Beta Distributions. Then we deal with bivariate distributions. Then comes functions of random variables chi-square distribution, t-distribution and F-distribution. Then we end the topic by studying the methods used in factories.
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