STA301 Assignment#01 Solution

Question 1: Marks: 4+3+3=10
a) Answer the following questions.

i. What are the main goal /Purpose of Statistical Inference?

ii. Write down names of methods of allocation the sample size in stratified sampling.

b). Find the missing frequencies and complete table.

x
f
c.f
Relative .f
2


3/25
4
2


6

8

8
4


total

25
1

c) From the following data, represent the different subjects in two classes and no. of students on various subjects of a college by making multiple bar charts.
Subjects
English
Mathematics
Statistics
Pak. Studies
Urdu
Class A
40
33
21
80
19
Class B
50
39
30
68
10

Question 2: Marks: 4+3+3=10
a) Answer the following questions
Define a bi-model distribution.
The relation between A.M , G.M and H.M is

Under what situation these are equal.
b). By using an appropriate average find out the average rate of motion in the case of a person who rides the first mile at the rate of 10 miles per hour the next mile at the rate of 8 miles per hour and the third at the rate of 6 miles per hour.

c) Find out average (percent) increase in population, if the population in the first decade has increased 20%, in next decade 25% and in the third decade 4 %.
Question 3: Marks: 3+4+4=10
a) How many observations (n) are involved in computing the mean deviation (M.D) if: M.D=2.67, Σd= 16
b) Find the value of “h” by using the following data
l= 19.5, h=? f=41, n/4=50, cf= 39, Q1=24.865
c) Find the coefficient of variation (CV) for the data given below,
Working hours per month (Y): 111, 123, 153, 173, 129