Mathematics · 2026
JEE Main · 23 January 2026, Shift 2 · Q9
If the mean and the variance of the data are μ and 19 respectively, then the value of λ+μ is
If the mean and the variance of the data
are $\displaystyle \mu$ and $\displaystyle 19$ respectively, then the value of $\displaystyle \lambda+\mu$ is
| Class | $\displaystyle 4$-$\displaystyle 8$ | $\displaystyle 8$-$\displaystyle 12$ | $\displaystyle 12$-$\displaystyle 16$ | $\displaystyle 16$-$\displaystyle 20$ |
| Frequency | $\displaystyle 3$ | $\displaystyle \lambda$ | $\displaystyle 4$ | $\displaystyle 7$ |
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 19$
More from Statistics
- 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, respectively. If the mean deviation…2026
- For 10 observations x_1, x_2, …, x_10, if Σ_i=1^10(x_i+2)^2=180 and Σ_i=1^10(x_i-1)^2=90, then their standard deviation is:2026
- Let the mean and the variance of seven observations 2,4, α, 8, β, 12,14, α<β, be 8 and 16 respectively. Then the quadratic equation whose roots are 3…2026
- A data consists of 20 observations x_1, x_2, …, x_20. If Σ_i=1^20(x_i+5)^2=2500 and Σ_i=1^20(x_i-5)^2=100, then the ratio of mean to standard…2026
- If the mean of the data is 21, then k is one of the roots of the equation:2026
- A variable X takes values 0,0,2,6,12,20, …, n(n-1) with frequencies ^n C_0,^n C_1,^n C_2,^n C_3,^n C_4,^n C_5, …,^n C_n, respectively. If the mean of…2026
- A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the variance of all these 10…2026
- The mean and variance of n observations are 8 and 16, respectively. If the sum of the first ( n-1 ) observations is 48 and the sum of squares of the…2026
JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.