Show that the sum of deviations of a set...

Show that the sum of deviations of a set of observations about their mean is Zero.

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Model Test Set - 9
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Consider any set of observations x_(1),x_(2),x_(3),..,x_(101) . It is given that x_(1) lt x_(2) lt x_(3) lt .. lt x_(100) lt x_(101) , then the mean deviation of this set of observations about a point k is minimum when k equals

If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is

If the sum of the squares of the deviations of 25 observation taken from the mean 40 is 900, then the coefficient of variation is-

The mean deviation of the series 3, 4, 5, 6, 7 about the median is

If the algebric sum of the deviations of 20 observations measured from 30 is 2, then what would be the mean of these observations.

10 is the mean of a set of 7 observations and 5 is the mean of a set of 3 observations. The mean of a combined set is given by

Sum of the squares of deviation is least about

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UNITED BOOK HOUSE-Model Test Set -3-Exercise

Write down the Laspeyre's price index formula.
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Distinguish between attribute and variable.
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Show that the sum of deviations of a set of observations about their m...
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What is a questionnaire in Statistics? State various characteristics o...
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If P(A + B) = 7/12 and P(A) = 1/3 for two independent events A and B, ...
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If P(A - B) = 1/3, P(A) =1/2 and P(B)= 1/3 , calculate the probability...
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Can two mutually exclusive events with positive probabilities be indep...
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For three values a, (a+b)/2 and b(> a) find the value of range/sd.
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What is coefficient of variation? State its uses.
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What are the principal characteristics of an ideal average?
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Suppose the least value (5) of a set of 50 values is changed to 4. Wha...
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Find the condition that the equation x^3 - px^2 + qx -x = 0 should hav...
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Find the remainder when x^5+ 5x^4 + x^3 + 5x^2 + 2x + 11 is divided by...
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Write a short note on interpolation.
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State Fermat’s theorem. Also prove that /\log f(x) = log [1 +(/\ f(x))...
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Show that P(B)>0, then P(A1 cup A2|B) = P(A1|B) + P(A2|B)-P(A1 cap A2|...
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Supposing P(A cap B)>0, show that P(B cap C|A)=P(B|A)P(C|A cap B).
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Ten telegrams are distributed at randam over 15 communication channels...
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Write down uses of index numbers.
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Write a short note on ‘measures of dispersion’.
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