Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Statistics question

2009 · Shift 0 · Q26
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Statistics
  5. /2009 · Shift 0 · Q26

Statistics question

2009 · Shift 0 · Q26

JEE MainMathematicsStatisticsMCQ+4 / −1
Statement - 1 : The variance of first n even natural numbers is n2−14{{{n^2} - 1} \over 4}4n2−1​ Statement - 2 : The sum of first n natural numbers is n(n+1)2{{n\left( {n + 1} \right)} \over 2}2n(n+1)​ and the sum of squares of first n natural numbers is n(n+1)(2n+1)6{{n\left( {n + 1} \right)\left( {2n + 1} \right)} \over 6}6n(n+1)(2n+1)​
  1. A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
  2. B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
  3. C
    Statement-1 is true, Statement-2 is false
  4. D
    Statement-1 is false, Statement-2 is true
PreviousNext

More from Statistics

  • If the mean deviation of number 1, 1 + d, 1 + 2d,........, 1 + 100d from their mean is 255, then the d is equal to2009 · MCQ
  • The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?2008 · MCQ
  • The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is2007 · MCQ
  • Suppose a population A has 100 observations 101, 102,........, 200, and another population B has 100 observations 151, 152,......., 250. If VA and VB represent the variances of the two populations, respectively, then VB​VA​​…2006 · MCQ
  • If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately :2005 · MCQ
  • Let x1, x2,...........,xn be n observations such that ∑xi2​=400 and ∑xi​=80. Then a possible value of n among the following is2005 · MCQ
  • Consider the following statements: (a) Mode can be computed from histogram (b) Median is not independent of change of scale (c) Variance is independent of change of origin and scale. Which of these is/are correct?2004 · MCQ
  • In a series of 2n observations, half of them equal a and remaining half equal –a. If the standard deviation of the observations is 2, then ∣a∣ equals2004 · MCQ