## STA30 Statistics and Probability Assignment no 1 October, Fall 2010

Assignment.1 (Lessons 1-11)

Question 1: Marks: 5+5=10
Give an answer of the followings:

• Define an array.
• University students have been assigned roll nos according to their marks. Which scale of measurement is used to assign the roll numbers?
• When statistical results are misleading?

(b) Make discrete frequency distribution from the given data,
1,2,3,2,1,2,1,3, 4,5,1,2,3,1,4,2, 2,3,2,1,4,4,4,2,1,

Also find;

• Cumulative frequencies
• Relative frequencies

Question 2: Marks: 2+8=10
(a) Find Geometric mean from the following data.
1, 2, 3,2,4,5,4,3,4,-1,4, 3,0,1,-3, 2,4

(b) The weight of the 40 male students at a university is given in the following frequency table:
Weight
frequency
118-126
3
127-135
5
136-144
9
145-153
12
154-162
5
163-171
4
172-180
2

Calculate median and mode from the above data.

Question 3: Marks: 2+2+6 =10
(a) Why Quartile deviation is better than the Rang?
(b) For given data calculate range and coefficient of range,
0.035, 0.045, 0.031, 0.044, 0.032

(c) Calculate an appropriate measure of dispersionfor the following data.

Farm Size (acre)
No. of Farms
Bellow 40
394
41-80
461
81-120
391
121-160
334
161-200
169
201-240
113
241 and above
148