For the given cumulative frequency table of students of different age groups, calculate the coefficient of standard deviation and coefficient of variation.

From the following data of hours worked in a factory (x) and output units (y), determine the regression line of y on x, the linear correlation coefficient and interpret the result of correlation coefficient.

i) From the table given below, Find

(a) Class boundaries

(b) How many men fall in the age of 50 or above?

(c) How many men fall between the age group of 60 and 69?

Question 1:                                                                                                                 Marks: 5+5=10

1. Top ten students in MCS class in VU have following marks division in a CS paper.

89, 90, 85, 88, 83, 79, 95, 93, 81, 80

Calculate the fraction of data falling in the limits,  and.

1. For a certain data, Mean = 4, Median = 3 and Standard Deviation = 2.Find Pearson’s coefficient of skewness by using mode and interpret the results.

Suppose we have two independent random variables X and Y. Let X follows Normal distribution with mean 0 and variance 4; Y also follows Normal distribution with mean 1and variance 9. A random sample of 10 observations is taken from each variable; then find.

Question 1: Marks:2+3+3+3+4=15

a) If Z is a standard normal random variable with mean 0 and variance 1, then find the lower quartile.

Question 1: Marks: 2+2+4+2=10

1. By using five number summary, suggest the skewness of the data from the following information: