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Yukti Vault

Statistics & Probability

Statistics: JEE Main & Advanced PYQs

169 previous year questions on Statistics from JEE Main and JEE Advanced papers, each with its exam and year, an answer and a solution.

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Questions 151-169 of 169

  1. All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of $10$ to each of the students. Which of the following statistical …
  2. The variance of the numbers $8,21,34,47,\ldots,320$ is ______.
  3. If the mean deviation about the median of the numbers $a,2a,\ldots,50a$ is $50$, then $|a|$ equals
  4. For two data sets, each of size $5$, the variances are given to be $4$ and $5$ and the corresponding means are given to be $2$ and $4$, respectively. The variance of the …
  5. The mean of the data set comprising of $16$ observations is $16$. If one of the observation valued $16$ is deleted and three new observations valued $3$, $4$ and $5$ are …
  6. 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 is
  7. 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 $b$?
  8. The variance of first $50$ even natural numbers is
  9. Let $x_1,x_2,\ldots,x_n$ be $n$ observations, and let $\bar x$ be their arithmetic mean and $\sigma^2$ be their variance. Statement 1 : Variance of …
  10. The mean and the variance of seven observations are $8$ and $16$ respectively. If five of the observations are $2,4,10,12$ and $14$, then the absolute difference of the …
  11. 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 ?
  12. Let $\alpha,\beta\in\mathbf{R}$. Let the mean and the variance of $6$ observations $-3,4,7,-6,\alpha,\beta$ be $2$ and $23$, respectively. The mean deviation about the …
  13. Let the mean and the standard deviation of the probability distribution …
  14. If the mean and the standard deviation of the data $3,5,7,a,b$ are $5$ and $2$ respectively, then $a$ and $b$ are the roots of the equation :
  15. If $\displaystyle\sum_{i=1}^{n}(x_i-a)=n$ and $\displaystyle\sum_{i=1}^{n}(x_i-a)^{2}=na$, $(n,a>1)$ then the standard deviation of $n$ observations $x_1,x_2,\ldots,x_n$ …
  16. Marks obtains by all the students of class 12 are presented in a frequency distribution with classes of equal width. Let the median of this grouped data be $14$ with …
  17. Mean of $5$ observations is $7$. If four of these observations are $6,7,8,10$ and one is missing then the variance of all the five observations is :
  18. The mean of a set of $30$ observations is $75$. If each observation is multiplied by a nonzero number $\lambda$ and then each of them is decreased by $25$, their mean …
  19. If the mean and variance of six observations $7,\ 10,\ 11,\ 15,\ a,\ b$ are $10$ and $\dfrac{20}{3}$, respectively, then the value of $|a-b|$ is equal to :

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