Measures of Central Tendency: JEE Questions & Solutions

If the mean and the variance of the data | Class | 4–8 | 8–12 | 12–16 | 16–20 | | --- | --- | --- | --- | --- | | Frequency | 3 | λ | 4 | 7…

The mean and variance of a data of 10 observations are 10 and 2, respectively. If an observation α in this data is replaced by β, then the…

Marks obtained by all the students of class 12 are presented in a frequency distribution with classes of equal width. Let the median of…

Let x₁, x₂, …, x₁₀ be ten observations such that Σ_(i=1)¹⁰ (xᵢ - 2) = 30, Σ_(i=1)¹⁰ (xᵢ - β)² = 98, β ≥ 2, and their variance is 4/5. If μ…

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 is equal…

If the mean and variance of five observations are 24/5 and 194/25 respectively, and the mean of the first four observations is 7/2, then…

Let M denote the median of the following frequency distribution. | Class | 0-4 | 4-8 | 8-12 | 12-16 | 16-20 | |---|---|---|---|---|---| |…

Let X = {11, 12, 13, …, 41} and Y = {61, 62, 63, …, 91} be two sets of observations. If x and y are their respective means and σ² is the…

The mean and variance of 7 observations are 8 and 16, respectively. If one observation 14 is omitted and a and b are respectively the mean…

Let sets A and B have 5 elements each. Let mean of the elements in sets A and B be 5 and 8 respectively and the variance of the elements in…