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Prove that 1/n overset(n)underset(E1)sum...

Prove that `1/n overset(n)underset(E_1)sum |x_i - A|` attains, minimum when A = Median.

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Show that overset(n)underset(i=1)sum (x_i - A)^2 is minimum when A = barx .

If x_1 , x_2 ,……. x_n are real quantities. Prove that 1/n overset(n)underset(i=1)sum x i^2 ge (1/n overset(n)underset(i=1)sum|x i|)^2

Find the value of overset(10)underset(i=1)sum(10xxi) .

n = 10, Me(x) = 5, overset(10)underset(i=1)sum x_i = 40 , overset(10)underset(i=1)sum|x_i - 5|= 25 , overset(10)underset(i=1)sum |x_i - 4|= 27 Is the statement consistent? Give proper reason supporting your answer. Also define 71th Percentile.

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A variable assumes the values x_1 , x_2 ,…….., x^_n with frequencies f_1 , f_2 ,………, f_n In respectively, show that overset(n)underset(i=1)sum f_i(x_i - barx) = 0 .

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UNITED BOOK HOUSE-Ramakrishna Mission Boys Home High School, Question Paper -Exercise
  1. Define ordianl and nominal data.

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  2. If the mean of the five consecutive positive integers is 12, find the ...

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  3. Find out the Quartile deviation of a symmetrical distribution having Q...

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  4. Distinguish between primary and secondary data.

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  5. State and prove Cauchy-Schwartz inequality.

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  6. Define Pearson's 2nd measure of skewness (SK2). Prove that -3 le Sk2 l...

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  7. Describe the different parts of a table.

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  8. Derive the median formula for a continuous frequency distribution.

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  9. Distinguish between striated muscle and smooth mucle

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  10. For three values a, (a+b)/2 and b(> a) find the value of range/sd.

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  11. In a certain distribution of the first three moments about the value 4...

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  12. Write two uses of ogive.

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  13. Write the objective of classification.

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  14. Prove that the s.d. can not be smaller than mean deviation about mean.

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  15. Prove that 1/n overset(n)underset(E1)sum |xi - A| attains, minimum whe...

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  16. If s and R are respectively the standard deviation and range of set of...

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  17. Write a general formula expressing central moments in terms of raw mom...

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  18. If y = f(x) be monotonically increasing (or decreasing) function of x,...

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  19. Explain how would construct a cost of living index number (C.L.I)?

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  20. In a frequency table, the upper boundary of each class-interval has a ...

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