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Question

Consider the following for the two items that follow: The sum and the sum of squares of the observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as ΣX = 200, ΣY = 250, ΣX² = 900 and ΣY² = 1400.

Which one of the following statements is correct?

This question was previously asked in
NDA 2 2025 GAT Question Paper (14-Sep-2025)
The correct answer is

Coefficient of variation cannot be determined from the given data.

We cannot determine the coefficient of variation of X or Y because we do not have the standard deviations.

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Important Questions from Statistics

  1. Match the LIST-I with LIST-II
    LIST-ILIST-II
    A. Sampling errorI.Values that describe the characteristics of a population
    B. ParametersII.The standard deviation of the sampling distribution
    C. Sampling fractionIII.Variation among sample statistics due to change
    D. Standard errorIV.Proportion of the population contained in a sample

    Choose the correct answer from the options given below:
  2. Given below are two statements one is labelled as Assertion (A) and the other is labelled as
    Reason (R).
    Assertion (A): Additive model considers the total of various components resulting in the given
    values of the over all time series and it is stated as:
    $Y=T+C+S+I$
    Reason (R): Multiplicative model assumes that the various components interact in a
    multiplicative manner to produce the given values of the over all time series and
    can be stated as $Y=T \times C \times S \times I$
    In the light of the above statements, choose the most appropriate answer from the options given
    below:
     

  3. Match List - I with List - II.
     

    List - IList - II
    A. Sample proportion P = x/nI. $\frac{\sigma}{\sqrt{n}}$
    B. Sample variance $S_1^2 = \frac{1}{n-1} \sum_{i=1}^{n}(xi-x̄)^2$II. $\sigma^2 \sqrt{\frac{2}{n}}$
    C. Sample variance $S^2 = \frac{1}{n} \sum_{i=1}^{n}(xi-x̄)^2$III. $\sigma^2 \sqrt{\frac{2}{(n-1)}}$
    D. Sample mean $\bar{x} = \frac{1}{n} \sum_{i=1}^{n}xi$IV. $\sqrt{\frac{\pi(1-\pi)}{n}}$


    Choose the correct answer from the options given below :

  4. The measurement or determinations of length, height, weight, volume, area, pressure etc. comes under:
  5. Which of the following options explain what a 'mean' assumes ?
    (i) an interval level of measurement
    (ii) a nominal level of measurement
    (iii) an ordinal level of measurement
    (iv) a ratio level of measurement
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