AP ICET 11th September 2020 Shift-1

Let $$x_{1},x_{2}, ... x_{n}$$ be distinct observations in decreasing order. If the first observation is increased by K and the last observation is decreased by K, then the measures of central tendency which do not alter are

The arithmetic mean and mode of a given discrete distribution are 24 and 12 respectively. If every data point is multiplied with 2 and then 5 is added to it, then the median of the new distribution is

Which one of the following is not true?

Let $$x_{1}, x_{2} ... x_{n}$$ be a set of observations and $$f_{1}, f_{2} ... f_{n}$$ be their frequencies. If $$y_{i} = 3x_{i} + K$$ then $$\frac{\sum (y_{i} - \overline{y})^{2}f_{i}}{\sum f_{i}}$$

If a data consisting of 25 observations $$\sum_{i=1}^{25}(x_{i} + 9)^{2} = 175$$ and $$\sum_{i=1}^{25}(x_{i}+9) =\frac{75}{2}$$, then the standard deviation of data is

25 pairs of observations of $$(x_{i}, y_{i})$$ yield $$\sum x_{i} = 125, \sum y_{i} = 100, \sum x_{i}^{2} = 650, \sum y_{i}^2{}= 436, \sum x_{i}y_{i} = 520$$. If the transformation $$u_{i} = x_{i} - 3, v_{i} = y_{i} - 3$$ is done, then the correlation coefficient of $$(u_{i}, v_{i})$$ is

A box coatains 10 red balls and some blue balls. If the probability of getting two blue balls is equal to the probability of getting two different coloured balls in an experiment of drawing two balls from the box randomly, then the number of blue balls in the box is

If the letters of the word MISTER are arranged at random, then the probability that the two vowels I and E are not together is

If two fair dice are rolled, then the probability that the sum on the two faces turned up does not exceed 8, is

The probability that a leap year contains 52 Sundays is