(a)
Solution:
An array is a systematic arrangement of objects, usually in rows and columns.
(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
Solution:
CLASS NO. | Frequencies | Cumulative frequency | Relative frequency |
1 | 7 | 7 | 0.28 |
2 | 8 | 7+8 = 15 | 0.32 |
3 | 4 | 15+4 =19 | 0.16 |
4 | 5 | 19+5 = 24 | 0.2 |
5 | 1 | 24+1 = 25 | 0.04 |
Total | 25 | ---- |
Question no.02
(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
Solution:
Geometric mean can not b calculated as there are some negative values and zero values present in the data.
(b) The weight of the 40 male students at a university is given in the following frequency table:
Weight | frequency | CF |
118-126 | 3 | 3 |
127-135 | 5 | 3+5 = |
136-144 | 9 | 8+9 = |
145-153 | 12 | 17+12 = |
154-162 | 5 | 29+5 = |
163-171 | 4 | 34+4 = |
172-180 | 2 | 38+2 = (equal to the sum of total frequency.. ! |
Calculate median and mode from the above data.
Solution:
 |
MODE:
MEDIAN:
 |
Where l=145, h=8, f=12, n/2=20 and c = 17
Put these values in formal and then calculate…
Question no.03
(b) For given data calculate range and coefficient of range,
0.035, 0.045, 0.031, 0.044, 0.032
Solution:
Xm=0.045
X0=0.031
Range: 
=
= Coefficient of range: = 
Put the values in the formula then calculate
(c) 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 |
Solution:
Question solve with quartile deviation;;;
Quartile deviation = Q3 - Q1 / 2
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