Statistics

JEE Main Mathematics · 9 questions

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• A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the…20268 April, Shift 2 · Q7
• 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…20266 April, Shift 2 · Q8
• 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…20266 April, Shift 1 · Q9
• 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,…20265 April, Shift 2 · Q10
• The mean deviation about the mean for the data is equal to:20265 April, Shift 1 · Q8
• 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:20264 April, Shift 2 · Q8
• 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…20264 April, Shift 1 · Q10
• 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…20262 April, Shift 2 · Q9
• If the mean of the data is 21, then k is one of the roots of the equation:20262 April, Shift 1 · Q8