Statistics

JEE Main · Mathematics · 9 past questions

These are the board's own papers. 111 more board questions reprinted in the books we use in class are for signed-in students: sign in.

Q1 2026 2 Apr Shift 1

If the mean of the data…
Q2 2026 2 Apr Shift 2

The mean and variance of n observations are 8 and 16, respectively. If the sum of the first (n−1)…
Q3 2026 4 Apr Shift 1

Suppose that the mean and median of the non-negative numbers $21, 8, 17, a, 51, 103, b, 13, 67$, $(a > b)$…
Q4 2026 4 Apr Shift 2

For 10 observations $x_1, x_2, \ldots, x_{10}$, if $\sum_{i=1}^{10}(x_i + 2)^2 = 180$ and…
Q5 2026 5 Apr Shift 1

The mean deviation about the mean for the data…
Q6 2026 5 Apr Shift 2

A variable X takes values 0, 0, 2, 6, 12, 20, ..., n(n−1) with frequencies…
Q7 2026 6 Apr Shift 1

A data consists of 20 observations $x_1, x_2, \ldots, x_{20}$. If $\sum_{i=1}^{20}(x_i+5)^2=2500$ and…
Q8 2026 6 Apr Shift 2

Let the mean and the variance of seven observations $2, 4, \alpha, 8, \beta, 12, 14$, $\alpha<\beta$, be 8…
Q9 2026 8 Apr Shift 2

A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and…