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For two data sets, each of size 5, the variance is given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is

1) 5/2 2) 11/2 3) 6 4) 13/2 Solution: (2) 11/2 𝜎x2 = 4 and 𝜎y2 = 5 \(\begin{array}{l}\bar{x}\end{array} \)... View Article

1) n 2) n/2 3) n/4 4) None of these Solution: (2) n / 2 The mean of the observation... View Article

1) 10 2) 2.33 3) 2.5 4) None of these Solution: (2) 2.33 The observations are 6, 8, 12, 15,... View Article

1) 1 2) 1.5 3) 2.5 4) 0 Solution: (4) 0 CV1 = 50, CV2 = 60 Mean1 = \(\begin{array}{l}\bar{x_{1}}\end{array}... View Article

1) 2.71 2) 27.1 3) (2.71)√10 4) (2.71)√2 5) 0.271 Solution: (2) 27.1 The standard deviation is dependent on the... View Article

1) 28, 4 2) 32, 2 3) 32, 4 4) 28, 2 Solution: (2) 32, 2 Correct mean = Old... View Article

1) 2 and 9 2) 3 and 8 3) 4 and 7 4) 5 and 6 Solution: (3) 4 and... View Article

1) Mean 2) Median 3) Mode 4) Variance Solution: (4) Variance The variance and standard deviation don’t change even after... View Article

1) +1 2) 0 3) -1 4) real number Solution: (2) 0 The sum of the deviations of a given... View Article

1) √7 2) √2 3) √3 4) √5 Solution: (3) √3 Mean = 3 and number of observations = 4... View Article

1) 18 2) 12 3) 15 4) 16 Solution: (1) 18 The root mean square of number ≥ Arithmetic mean... View Article

1) 7 2) 9 3) 12 4) 14 5) 16 Solution: (4) 14 Mean = [9 + 16 + 23... View Article

1) 9 2) 4 3) 3 4) 2 5) 1 Solution: (4) 2 Variance (x) = (1 / n) ∑di2... View Article

1) 60 2) 30 3) 35 4) 21 Solution: (3) 35 Coefficient of variation = [𝜎 / \(\begin{array}{l}\bar{x}\end{array} \)] *... View Article

1) [n (n + 1)] / 2 2) [(n + 1) (n + 5)] / 12 3) [(n + 1)... View Article

1) 24.0 2) 25.5 3) 20.5 4) 22.0 Solution: (1) 24.0 Given that mean = 21 and median = 22... View Article

1) 73 2) 65 3) 68 4) 74 Solution: (2) 65 Since, total number of students = 100 and number... View Article

1) 40% 2) 20% 3) 80% 4) 60% Solution: (3) 80% 52x + 42y = 50 (x + y) 2x... View Article

1) positive skewness 2) symmetric distribution 3) negative skewness 4) All of these Solution: (2) symmetric distribution If the mean,... View Article

1) 2nCn/2 2) 2nC[n+1]/2 3) 2nC[n-1]/2 4) None of these Solution: (1) 2nCn/2 The given observations are 2nC0, 2nC1, 2nC2,... View Article