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

Statistics question

2022 · 28 Jul · Shift 1 · Q44
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Statistics
  5. /2022 · 28 Jul · Shift 1 · Q44

Statistics question

2022 · 28 Jul · Shift 1 · Q44

JEE MainMathematicsStatisticsNumerical+4 / −1
Let x1,x2,x3,…,x20x_{1}, x_{2}, x_{3}, \ldots, x_{20}x1​,x2​,x3​,…,x20​ be in geometric progression with x1=3x_{1}=3x1​=3 and the common ratio 12\frac{1}{2}21​. A new data is constructed replacing each xix_{i}xi​ by (xi−i)2\left(x_{i}-i\right)^{2}(xi​−i)2. If xˉ\bar{x}xˉ is the mean of new data, then the greatest integer less than or equal to xˉ\bar{x}xˉ is ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Statistics

  • The mean and standard deviation of 15 observations are found to be 8 and 3 respectively. On rechecking it was found that, in the observations, 20 was misread as 5. Then, the correct variance is equal to ​.2022 · Numerical
  • Suppose a class has 7 students. The average marks of these students in the mathematics examination is 62, and their variance is 20. A student fails in the examination if he/she gets less than 50 marks, then in worst case, the number of…2022 · Numerical
  • Let the mean and the variance of 20 observations x1​,x2​,…,x20​ be 15 and 9 , respectively. For α∈R, if the mean of (x1​+α)2,(x2​+α)2,…,(x20​+α)2…2022 · Numerical
  • Let the mean and the variance of 5 observations x1, x2, x3, x4, x5 be 524​ and 25194​ respectively. If the mean and variance of the first 4 observation are 27​ and a respectively, then (4a + x5) is equal to:2022 · MCQ
  • The number of values of a ∈ N such that the variance of 3, 7, 12, a, 43 − a is a natural number is :2022 · MCQ
  • Consider three observations a, b, and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of the following is true?2021 · MCQ
  • Consider the statistics of two sets of observations as follows : If the variance of the combined set of these two observations is 917​, then the value of n is equal to ​. Includes table2021 · Numerical
  • Consider a set of 3n numbers having variance 4. In this set, the mean of first 2n numbers is 6 and the mean of the remaining n numbers is 3. A new set is constructed by adding 1 into each of first 2n numbers, and subtracting 1 from each of…2021 · Numerical