Probability and Statistics - download pdf or read online

By A. M. Mathai, P. N. Rathie (auth.)

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8. 9 rif Class mark u 11 -I 14 17 0 1 -2 0 -I=Euj 32 PROBABILITY AND STATISTICS Here u is obtained by subtracting 14 from the class marks and then dividing by the class interval 3. 5. Comment. It is easy to see that when the formula x=a+bu is used in a frequency table, and if the classes are of equal width then a is the class mark which is subtracted from the other class marks and b is the class width. 5, 0. 2. Calculate the average depth. Is this average of any use for a person who wants to cross the stream?

4. 4 Class (Marks) Frequency (Number of students) less than 50 50-64 65-79 80 and over 10 13 22 5 50 Here the class widths are different for the different classes. 5. , depend upon the nature of the data, and the purpose for which the data is going to be classified. When data are classified it is likely that some information about the data is lost. 1 (original data) is available we cannot get the exact marks obtained by the three students. 5. The mid-point of' true interval' is often called the class mark.

Calculate the true mean value. 33 Three people A, B, C were given the job of finding the average of 5000 numbers. Each one did his own simplification. A's method. Divide the set into sets of 1000 each, calculate the average in each set and then calculate the average of these averages. B's method. Divide the set into 2000 and 3000 numbers, take average in each set and then take the average of the averages. C's method. 500 numbers were unities. He averaged all other numbers and then added one. Are these methods correct?

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