List of top Mathematics Questions on Mean Deviation asked in JEE Main

Let a,b,c∈Na, b, c \in \mathbb{N} and a<b<ca<b<c. Let the mean, the mean deviation about the mean and the variance of the 5 observations 9,25,a,b,c9, 25, a, b, c be 18,418, 4 and 1365\frac{136}{5}, respectively. Then 2a+b−c2a + b - c is equal to _______.
Let the mean and variance of the frequency distribution
xi246810121416
fi44α158β45
are 9 and 15.08 respectively, then the value of α2+β2-αβ is ____.

Let m be the mean and σ be the standard deviation of the distribution

xi012345
fik+22kk2-1k2-1k2+1k-3

where ∑fi = 62. if [x] denotes the greatest integer ≤ x, then [μ2 + σ2] is equal

A coin is biased so that the head is 3 times as likely to occur as tail. This coin is tossed until a head or three tails occur. If X denotes the number of tosses of the coin, then the mean of X is

Let the mean and standard deviation of marks of class A of 100100 students be respectively 4040 and α\alpha (> 0 ), and the mean and standard deviation of marks of class B of nn students be respectively 5555 and 30 −α-\alpha. If the mean and variance of the marks of the combined class of 100+n100+ n students are respectively 5050 and 350350 , then the sum of variances of classes AA and BB is :

A fair n (n>1) faces die is rolled repeatedly until a number less than n appears. If the mean of the number of tosses required is n9\frac{n}{9}, then n is equal to_____.
If the mean deviation about the mean of the numbers 1, 2, 3, …. n, where n is odd, is 5(n+1)n\frac{5(n + 1)}{n}, then n is equal to ______.
The mean and variance of 7 observations are 8 and 16,16, respectively. If five observations are 2,4,10,12,14,2,4,10,12,14, then the absolute difference of the remaining two observations is :
The mean and the median of the following ten numbers in increasing order 10,22,26,29,34,x42,67,70, y10, 22, 26, 29, 34, x 42, 67, 70,\, y are 4242 and 3535 respectively, then yx\frac{y}{x} is equal to :
The mean of five observations is 55 and their variance is 9.20.9.20. If three of the given five observations are 1,31, 3 and 88, then a ratio of other two observations is :
The mean of 55 observations is 55 and their variance is 124124. If three of the observations are 1,21, 2 and 66 ; then the mean deviation from the mean of the data is :
The mean and variance of 55 observations are 55 and 88 respectively If 33 observations are 1,3,51,3,5, then the sum of cubes of the remaining two observations is