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The correlation coefficient between x and y from the following data ∑x = 40, ∑y = 50, ∑xy = 220, ∑x² = 200, ∑y² = 262, n = 10 is

1) 0.89 2) 0.76 3) 0.91 4) 0.98 Solution: (3) 0.91 r = rxy = [cov (x, y)] / (Sx... View Article

1) 12 2) 9 3) 18 4) 15 Solution: (3) 18 \(\begin{array}{l}x_1, x_2, …., x_n,\text \ A.M. \ of \... View Article

1) a∑ + b 2) |a / c| 𝜎 3) |a|∑ + b 4) a2 ∑ Solution: (2) |a /... View Article

1) [n (n + 1) d / (2n – 1)] 2) [n (n + 1) d / (2n + 1)]... View Article

1) 10 or 20 2) 5 or 10 3) 5 or 20 4) 5 or 15 5) 25 Solution: (3)... View Article

1) 9/4 2) 4/9 3) 2/3 4) 1 Solution: (4) 1 𝜎x2 = ∑di2 / n (Here deviations are taken... View Article

Measurements 0 – 10 10 – 20 20 – 30 30 – 40 Frequency 1 3 4 2 1) 81... View Article

1) 11 2) 12 3) 23 4) 22 Solution: (1) 11 \(\begin{array}{l}\text \ Mean \ of \ n \ observations... View Article

1) √17 / 12 2) √(472 – 1) / 12 3) 2√6 4) 4 √3 Solution: (3) 2√6 The standard... View Article

1) 50 2) 550 3) 10 4) 500 Solution: (1) 50 Variance (x) = 102 = 100 Standard deviation =... View Article

1) 2 2) 4 3) 22 4) 11 5) 44 Solution: (3) 22 Let x = 1, 2, 3, 4,... View Article

1) 14, 4.604 2) 15, 4.604 3) 14, 5.604 4) None of these Solution: (1) 14, 4.604 Here, mean =... View Article

1) a = 3, b = 4 2) a = 0, b = 7 3) a = 5, b =... View Article

1) √81 / 34 2) 5 3) √5 4) 3/2 Solution: (4) 3/2 Standard deviation = √{∑j=118 (xj – 8)2... View Article

1) 5.2 2) 5.3 3) 5.4 4) None of these Solution: (3) 5.4 Since the percentage of coefficient of variation... View Article

1) 3 2) 1 3) -2 4) 2 Solution: (4) 2 Find the mean of the data : (- 1... View Article

1) 297 / 4 2) (3 / 2) √33 3) (3 / 2) √99 4) √99 / 12 5) 3... View Article

1) n 2) √n/2 3) n/2 4) n/4 Solution: (4) n / 4 Here, μ1’ = [n . 2n-1] /... View Article

1) Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statement I 2) Statement... View Article

1) 10.0 2) 20.0 3) 10.1 4) 20.2 Solution: (3) 10.1 \(\begin{array}{l}Mean = \frac{101 + d(1 + 2 + 3... View Article