JEE Main 2026 — Statistics Questions with Solutions

Let the mean and variance of 8 numbers -10,-7,-1, x, y, 9,2,16 be (7)/(2) and (293)/(4), respectively. Then the mean of…

The mean and variance of 10 observations are 9 and 34.2, respectively. If 8 of these observations are 2,3,5,10,11,13,15…

If the mean deviation about the median of the numbers k, 2 k, 3 k, …. ., 1000 k is 500, then k² is equal to :

For 10 observations x₁, x₂, …, x₁₀, if ₌₁¹⁰(xi+2)²=180 and ₌₁¹⁰(xi-1)²=90, then their standard deviation is:

Let X=\x ~N: 1 ≤ x ≤ 19\ and for some a, b R, Y=\a x+b: x X\. If the mean and variance of the elements of Y are 30 and…

A variable X takes values 0, 0, 2, 6, 12, 20, …, n(n-1) with frequencies ⁿC₀, ⁿC₁, ⁿC₂, ⁿC₃, ⁿC₄, ⁿC₅, …, ⁿCn, respecti…

If the mean and the variance of the data array|c|c|c|c|c| Class & 4-8 & 8-12 & 12-16 & 16-20 \ Frequency & 3 & λ & 4 &…

Suppose that the mean and median of the non-negative numbers 21, 8, 17, a, 51, 103, b, 13, 67, (a > b), are 40 and 21,…

If the mean of the data Class 5-10 10-15 15-20 20-25 25-30 30-35 Frequency 2 k 28 54 k+1 5 is 21, then k is one of the…

A data consists of 20 observations x₁, x₂, …, x₂₀. If ₌₁²⁰(xi + 5)² = 2500 and ₌₁²⁰(xi - 5)² = 100, then the ratio of m…