STA301 Assignment No. 1 solution

 (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