normal distribution in statistics


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Non-convex Sets
We know that the feasible solution of an LPP is a set. This set (If it is finite non-empty) is convex for any L.P.P. There are four types of feasible region normally we g..
Question 8
Question: Draw a histogram and a frequency polygon for the following frequency distribution. Answer: ..
Question 7
Question: The time required in minutes for each of the 50 students to read 20 pages of a book is recorded below: 43 52 47 49 36 48 41 47 50 32 45 48 40 43 48 36 51 44 49 53 37 34 42 47 45 47 44 50 31 48 43 45 44 36 51 51 43 53 46 39 50 42 42 47 38 49 46 40 38 45 With the information, taking cl..
Class mid-mark or Class mark
is the mid-point of each interval. Class mark for Class (11 - 15) is . Similarly, class marks for other intervals are 18, 23, 28 When the data is put in a frequency distribution table, the marks obtained by an individual has lost its meaning. Thus some details have been lost. But we ..
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For the Poisson distribution, the probability function is given by Given P (x = 1) = (0.2) P (X = 2) ..
To find mean for grouped data
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..
How to find Mean Deviation!
Mean Deviation - The mean deviation of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of items from some average value. Mean deviation is also known as average deviation . The mean deviation is generally denoted by M.D. Formula for mean devi..
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Let X be the random variable which represents number of defective items selected which has a binomial distribution with n = 10, p = 0.1, q = 0.9 Probability that the guarantee is satisfied = ..
Frequency Polygon
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..
Standard Deviation
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 Squar..
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