For the following questions answer them individually
For $$n \geq 1$$, let $$x_n = r$$ where r is the remainder when n is divided by 7 (for instance, $$x_{24} = 3$$ since 24 leaves remainder 3 when divided by 7). The mode of the observations $$x_5, x_9, x_{11}, x_{13}, x_{16}, x_{21}, x_{23}, x_{25}$$ is
If the mean and the mode of a data are 15 and 21 respectively then the median of the data is
If $$x_1, x_2, ....... x_{10}$$ are marks obtained by a students such that $$\sum_{i=1}^{10}x_i = 90$$ and $$\sum_{i=1}^{10}x_i^2 = 900$$, then the variance of this data is
If two unbiased 6 faced dice are thrown simultaneously then the probability they show up distinct numbers is
A bag contains 4 green, 6 red and 7 white balls. If a ball is drawn at random from this bag then the probability that it is either green or red is
A person gets Rs. 100 if a head turns up and loses Rs. 50 if a tail turns up when an unbiased coin is tossed. If three unbiased coins are tossed simultaneously then the probability that the person neither gains nor loses is