normal probability distribution

For the Poisson distribution, the probability function is given by Given P (x = 1) = (0.2) P (X = 2) ..

The mean deviation (M.D) of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of the items from some average. For an individual series, For a frequency distribution, If M.D is calculated about mean, then it is written as M.D (x). ..

Summary - The mean deviation (M.D) of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of the items from some average. For an individual series, For a frequency distribution, If M.D is calculated about mean, then it is written as M.D (x). The stand..

There are three methods to find mean for a frequency distribution. (i) Direct method: where x is the mid-interval f is the frequency M is the mean (ii) Short-cut method: where A = assumed mean d = x - A (iii) Step-deviation method: where i = class size We illustrate each of these..

Question: Find the value of 'p', if the mean of the following distribution is 7.5. Answer: Mean=7.5 303 + 9p = 7.5(41 + p) 303 + 9p = 307.5 + 7.5p 9p - 7.5p = 307.5 - 303 1.5p = 4.5 p = 3..

. Class width or Class size is the difference between actual limits of any class. The class width of class (11 - 15) is 15.5 - 10.5 equal to 5. Similarly, the class interval of other classes is also 5. In inclusive type of frequency distribution, the class width of 11 - 15 is also 5 as bo..

In a frequency distribution, the mid-value of each class is obtained. Then on the graph paper, the frequency is plotted against the corresponding mid-value. These points are joined by straight lines. These straight lines may be extended in both directions to meet the X - axis to form a po..

(i) The class intervals are made continuous and then the histogram is constructed. (ii) A kink or a zig - zag curve is shown near the origin. It indicates that the scale along the horizontal axis does not start at the origin. (iii) The horizontal scale and vertical scale need not be the sa..

of a statistical data is defined as the positive square root of the arithmetic mean of the squared deviations of items from their arithmetic mean of the series under consideration. The standard deviation is denoted by s (sigma). The standard deviation is also known as Root Mean Square Deviatio..

>If A, B and C are mutually exclusive then Total Probability: P(A) = P(E 1 ) P(A|E 1 ) + P(E 2 ) P(A|E 2 )+ +P(E n ) P(A|E n ) Random variable: A real valued function 'X' defined on the sample space is called a random variable. Discrete random variable: A random variable which can assume ..