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

Question

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

What is the usefulness of Pearson’s coefficient of skewness?
For a certain data,

Find moment ratios and . Interpret your results also.

Explain equally likely events with the help of an example.

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

a. For a particular data of 5 pair of values:

The fitted regression line is:
Y= -1.5 + 0.5 x
Find the standard error of estimate (Sy.x); what doest it indicates?
b. Five yellow balls and four green balls, which are indistinguishable apart from color, are placed in a bag if six balls are taken from the bag; Find the probability of being three yellow and three green.
c. If the equations of the least square regression lines are:
Y= -1 + 0.5 x And X= -1.1 + 0.2 y
Find correlation coefficient ‘r’.

Answer 1

xm=55 is maximum value
xo=x value
q2=39 is quartile