Statistics questions
341 published questions with worked solutions.
- Let a, b ∈ R. Let the mean and the variance of 6 observations −3, 4, 7, −6, a, b be 2 and 23, respectively. The mean deviation...
- Let the mean and the standard deviation of the probability distribution | X | α | 1 | 0 | −3 | |---|---|---|---|---| | P(X) | 1/3...
- The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On respectively, it was found that an...
- If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m + n is...
- The mean and the standard deviation (s.d.) of 10 observations are 20 and 2 respectively. Each of these 10 observations is...
- The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an observation...
- If the variance of the terms in an increasing A.P., b_1, b_2, b_3,....b_ 11 is 90, then the common difference of this A.P....
- Let X = x ∈ N : 1 ≤ x ≤ 17 and Y = ax + b: x ∈ X and a, b ∈ R, a > 0 . If mean and variance of elements of Y are 17 and 216...
- For the frequency distribution : Variate (x) : x_1 x_2 x_3 .... x_ 15 Frequency (f) : f_1 f_2 f_3 .... f_ 15 where 0 < x_1 < x_2...
- Three balls are drawn at random from a bag containing 5 blue and 4 yellow balls. Let the random variables X and Y respectively...
- Let a, b, c ∈ N and a < b < c. Let the mean, the mean deviation about the mean and the variance of the 5 observations 9, 25, a,...
- The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then...
- If the variance of the following frequency distribution : Class : 10-20, 20-30, 30-40 Frequency : 2, x, 2 is 50, then x is equal...
- The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute...
- If the mean and the standard deviation of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the...
- Consider the data on x taking the values 0, 2, 4, 8, ..., 2^n with frequencies ^nC_0, ^nC_1, ^nC_2, ..., ^nC_n respectively. If...
- 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...
- If the mean of the data | Class | 5 − 10 | 10 − 15 | 15 − 20 | 20 − 25 | 25 − 30 | 30 − 35 | |---|---|---|---|---|---|---| |...
- 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,...
- For 10 observations x₁,…,x₁₀, if _ i=1 ^ 10 (x_i+2)^2=180 and _ i=1 ^ 10 (x_i-1)^2=90, then their standard deviation is:
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration