Answer in a paper please

Solve the following questions, approximations to two decimal points. Question-1 (6 marks) 1- The grades of a student on eight 50- point examinations were 30, 35, 40, 45, 20, 35, 40, and 50. Find the mean. 2- For the data set 60, 56, 48, 46, 50, 80 calculate the median. 3 - What is the mode of this data 2, 16, 4, 2, 3, 3, 7, 7, 11, 15, 2, 7, 2 4- Find the standard deviation for the data sets 4, 6, 8, 10, 12, 14 Question-2 (6 marks) Calculate the Coefficients of skewness for the following frequency table: Class 10-20 20-30 30-40 40-50 50-60 60-70 Frequency 7 8 15 14 12 6 Question-3 (6 marks) Calculate Pearson's correlation coefficient between x and y from the table x 1 2 3 4 5 6 7 8 y 10 15 30 35 25 30 50 45 (Question-4 (6 marks 1- Let , find (i) (ii) (iii) (iv) 2- In a School unit there are 25 teachers and 325 students; 10 teachers and 100 students are females. If a person is selected, find the probability that the subject is a teachers or a female. 3- An urn contains 10 red balls, 6 blue balls, and 4 white balls. Aball is selected and its color noted. Then it is replaced. A second ball is selected and its color noted. Find the probability of each of these. .a) Selecting 2 white balls) b) Selecting a blue ball and then a red) .ball (c) Selecting a white ball and then a blue ball. 4. Two dice are rolled. Find the probabilities of the following events. . Getting two Even numbers . 1 2. Getting two numbers whose sum is 9. 3. Find the probability of getting two numbers whose sum is not 11. Question-5 (6 marks) Find the expectation , the variance and the standard deviation of each of the following distribution: X1345