Statistics questions
341 published questions with worked solutions.
- The mean deviation about the mean for the data | xᵢ | 5 | 7 | 9 | 10 | 12 | 15 | |---|---|---|---|---|---|---| | fᵢ | 8 | 6 | 2 |...
- A set of four observations has mean 1 and variance 13. Another set of six observations has mean 2 and variance 1. Then, the...
- If the variance of the frequency distribution is 160, then the value of c ∈ ℕ is | x | c | 2c | 3c | 4c | 5c | 6c |...
- The frequency distribution of the age of students in a class of 40 students is given below. | Age | 15 | 16 | 17 | 18 | 19 | 20 |...
- The mean and standard deviation of 15 observations were found to be 12 and 3 respectively. On rechecking it was found that an...
- Let a₁, a₂, ... a₁₀ be 10 observations such that _ k=1 ^ 10 a_k = 50 and _ k<j a_ka_j = 1100. Then the standard deviation of a₁,...
- If the mean and variance of five observations are 24/5 and 194/25 respectively and the mean of the first four observations is...
- If the mean and variance of the data 65, 68, 58, 44, 48, 45, 60, α, β, 60 where α > β are 56 and 66.2 respectively, then α² + β²...
- The variance σ² of the data | xᵢ | 0 | 1 | 5 | 6 | 10 | 12 | 17 | |---|---|---|---|---|---|---|---| | fᵢ | 3 | 2 | 3 | 2 | 6 | 3...
- Let M denote the median of the following frequency distribution | Class | 0-4 | 4-8 | 8-12 | 12-16 | 16-20 |...
- Let the mean and the variance of 6 observations a, b, 68, 44, 48, 60 be 55 and 194, respectively. If a > b, then a + 3b is
- Three rotten apples are accidently mixed with fifteen good apples. Assuming the random variable x to be the number of rotten...
- Let X be a random variable with distribution. x: –2, –1, 3, 4, 6 P(X=x): 1/5, a, 1/3, 1/5, b If the mean of X is 2.3 and variance...
- Consider the statistics of two sets of observations as follows : Observation I : Size 10, Mean 2, Variance 2 Observation II :...
- Consider three observations a, b and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of...
- Consider a set of 3n numbers having variance 4. In this set, the mean of first 2n numbers is 6 and the mean of the remaining n...
- Let in a series of 2n observations, half of them are equal to a and remaining half are equal to –a. Also by adding a constant b...
- The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in...
- If the mean and variance of six observations 7, 10, 11, 15, a, b are 10 and 20 3 , respectively, then the value of |a – b| is...
- Let other two numbers be a, (21 – a). The mean of 6 distinct observations is 6.5 and their variance is 10.25. If 4 of the 6...
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