Family Relations and Data Analysis Quiz
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Questions and Answers

How many female members are there in a family with a father, a mother, 3 married sons (two have 2 daughters each, one has a son), and one unmarried daughter?

  • 3
  • 5
  • 6
  • 9 (correct)
  • How is Vinit related to Rani, who remembers him as 'the brother of my grandfather's son'?

  • Aunt
  • Daughter
  • Niece (correct)
  • Sister
  • What is Bhima's relation to Shiva when Annanya is the mother of Satya, Shyam's mother, and Shiva is Annanya's brother?

  • Son-in-law
  • Brother-in-law (correct)
  • Cousin
  • Son
  • What is the relationship between Suman and Ramesh if Suman is the daughter-in-law of Rakesh and sister-in-law of Rajesh, while Ramesh is Rakesh's son?

    <p>Wife</p> Signup and view all the answers

    How is Khushi's husband related to the man in the photograph, if Khushi states, 'This man's son's sister is my mother-in-law'?

    <p>Grandson</p> Signup and view all the answers

    Which of the following is considered a source of primary data?

    <p>Questionnaire filled by Enumerators</p> Signup and view all the answers

    In a table, what is the term for the left part that provides the description of the rows?

    <p>Stub</p> Signup and view all the answers

    What is the suitable formula for computing the number of class intervals?

    <p>1 + 3.322 logN</p> Signup and view all the answers

    What type of price index should be employed when adding a new commodity?

    <p>Shifted price index</p> Signup and view all the answers

    Which index is not used for adding a new commodity in price calculations?

    <p>Inflation-adjusted price index</p> Signup and view all the answers

    Among the following, which price index method is inappropriate for adapting to new products?

    <p>Weighted price index</p> Signup and view all the answers

    If you need to incorporate a new commodity in price indexing, which index would you prioritize?

    <p>Shifted price index</p> Signup and view all the answers

    What is an example of an index that would not be suitable for integrating a new item?

    <p>Cyclic price index</p> Signup and view all the answers

    If the variance of random variable 'x' is 17, what is the variance of y = 2x + 5?

    <p>68</p> Signup and view all the answers

    What is the coefficient of variation (C.V) if the variance is 12 and the mean value is 40?

    <p>8.65%</p> Signup and view all the answers

    In a data set where all values are the same, what is the variance?

    <p>0</p> Signup and view all the answers

    Given that the Arithmetic Mean (A.M) is 5 and the Geometric Mean (G.M) is 4, what is the Harmonic Mean (H.M)?

    <p>3.2</p> Signup and view all the answers

    What is the average of the remaining 2 students if the average age of 15 students is 9 years, the average age of 5 students is 13 years, and that of 8 students is 5 years?

    <p>10 years</p> Signup and view all the answers

    If the standard deviation of a random variable x is equal to 5, what is the variance?

    <p>25</p> Signup and view all the answers

    What is the correct formula for the probability of the intersection of two independent events A and B?

    <p>P(A) * P(B)</p> Signup and view all the answers

    For the theorem of compound probability, which of the following statements is true?

    <p>P(A ∩ B) = P(A) * P(B/A)</p> Signup and view all the answers

    What happens to the variance of a dataset when the data points are all increased by the same constant value?

    <p>It remains the same</p> Signup and view all the answers

    What is the probability of randomly selecting a number that is a multiple of both 3 and 4 from the first 50 natural numbers?

    <p>2/25</p> Signup and view all the answers

    Which of the following methods can be used to transform a dataset that needs normalization?

    <p>Scaling to a range</p> Signup and view all the answers

    When tossing three coins, what is the probability of getting exactly two heads?

    <p>3/8</p> Signup and view all the answers

    What is the skewness of a normal distribution?

    <p>Zero</p> Signup and view all the answers

    Which of the following statements about the addition of probabilities for independent events is false?

    <p>P(A ∪ B) = P(A) + P(B)</p> Signup and view all the answers

    What is the annuity amount (A) calculated for a future value of ₹ 5,00,000 at a rate of 10% over 12 years?

    <p>₹ 23,381.65</p> Signup and view all the answers

    If events A and B are independent, which equation is always correct?

    <p>P(A | B) = P(A)</p> Signup and view all the answers

    What is the effective annual rate of interest if the nominal rate is 6% per annum payable half yearly?

    <p>6.09%</p> Signup and view all the answers

    How many outcomes are there when tossing three coins?

    <p>8</p> Signup and view all the answers

    How is the effective rate of interest calculated for a nominal rate of 3% payable semi-annually?

    <p>E = (1 + R/2)^T - 1</p> Signup and view all the answers

    If the earning per share (EPS) of a company was ₹ 5 ten years ago and is ₹ 22 now, what is the type of growth being measured?

    <p>Annual growth rate</p> Signup and view all the answers

    What is the formula used to calculate future value in the annuity context?

    <p>A = A * ((1 + i)^n - 1)/i</p> Signup and view all the answers

    What does 'n' represent in the context of annuities?

    <p>The total period in years</p> Signup and view all the answers

    What was the nominal interest rate used in the calculation of future value?

    <p>10%</p> Signup and view all the answers

    To find the effective interest rate, what constant is used in the half yearly calculation?

    <p>3%</p> Signup and view all the answers

    What does the variable 'd' represent in the context of the provided table?

    <p>The difference between the ranks of x and y</p> Signup and view all the answers

    What is the formula used to calculate the coefficient of rank correlation?

    <p>rR = 1 - (6Σd²)/(n(n² - 1))</p> Signup and view all the answers

    What does 'n' stand for in the correlation formula?

    <p>The total number of observations</p> Signup and view all the answers

    What value was calculated for 'rR' based on the given data?

    <p>-0.257</p> Signup and view all the answers

    What does the term 'cov(x, y)' represent?

    <p>The covariance between x and y</p> Signup and view all the answers

    How many squared differences (d²) were summed to obtain the value of 44?

    <p>6</p> Signup and view all the answers

    What is a possible interpretation of a negative rank correlation coefficient like -0.257?

    <p>As x increases, y tends to decrease.</p> Signup and view all the answers

    What statistical method is being used to analyze the relationship between marks in Mathematics and Statistics?

    <p>Rank correlation analysis</p> Signup and view all the answers

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    Description

    Test your knowledge on family relationships and data analysis concepts! This quiz covers various relationship puzzles and essential theoretical questions related to data collection and presentation. Challenge yourself and see how well you understand the intricacies of familial connections and data interpretation.

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