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STA30 Statistics and Probability Assignment no 1 October, Fall 2010
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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

© Calculate an appropriate measure of dispersion for 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
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