We are here with you hands in hands to facilitate your learning & don't appreciate the idea of copying or replicating solutions. Read More>>
+ Link For Assignments, GDBs & Online Quizzes Solution 
+ Link For Past Papers, Solved MCQs, Short Notes & More 
Assignment No: 1 (Lessons 19)
Question 1: Marks: 5+2=7
a) Following are the heights (in centimeters) of 45 female high school students. Prepare a frequency distribution of the data where the class width is 5, the number of classes is 6 and the smallest observation is 148. Also obtain the relative frequency and relative cumulative frequency.
170, 151, 154, 160, 158, 154, 171, 156, 160, 157, 160, 157, 148, 165, 158, 159, 155, 151, 152, 161, 156, 164, 156, 163, 174, 153, 170, 149, 166, 154, 166, 160, 160, 161, 154, 163, 164, 160, 148, 162, 167, 165, 158, 158, 176.
b) Which level of measurement (scale of measurement) is suitable for the following data in each example?
i) The lake SaifulMuluk is 10,578 feet above from the sea level.
ii) If customers go to the shop for buying shoes and try different size of shoes. The sizes of shoes are 7B, 10D and 12E.
iii) The numbering on Tshirts of players in the cricket team.
iv) The weight of the person is 68 kg.
Question 2: Marks: 5+3=8
a) Find the median, harmonic mean and 23^{rd} percentile for the following frequency distribution.
Class Boundaries 
Frequency 
145 – 150 
4 
150 – 155 
6 
155 – 160 
28 
160 – 165 
58 
165 – 170 
64 
170 – 175 
30 
b) Explain the concept of Geometric mean? Also find the geometric mean for the following data.
18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 22, 23, 24, 27, 30, 36
Tags:
+ How to Follow the New Added Discussions at Your Mail Address?
+ How to Join Subject Study Groups & Get Helping Material? + How to become Top Reputation, Angels, Intellectual, Featured Members & Moderators? + VU Students Reserves The Right to Delete Your Profile, If?.
+ http://bit.ly/vucodes (Link for Assignments, GDBs & Online Quizzes Solution)+ http://bit.ly/papersvu (Link for Past Papers, Solved MCQs, Short Notes & More)
+ Click Here to Search (Looking For something at vustudents.ning.com?) + Click Here To Join (Our facebook study Group)Dear all members,
my question is about Q1 is that, class width is given 5...
if we take this class148  152 ore 153 157 the class width comes 4 insted of 5
more over h=upper classlower classl
152  148 = 4
what you says?
Question 1: Marks: 5+2=7
a) Following are the heights (in centimeters) of 45 female high school students. Prepare a frequency distribution of the data where the class width is 5, the number of classes is 6 and the smallest observation is 148. Also obtain the relative frequency and relative cumulative frequency.
170, 151, 154, 160, 158, 154, 171, 156, 160, 157, 160, 157, 148, 165, 158, 159, 155, 151, 152, 161, 156, 164, 156, 163, 174, 153, 170, 149, 166, 154, 166, 160, 160, 161, 154, 163, 164, 160, 148, 162, 167, 165, 158, 158, 176.
ANSWER:
Classes 
(f) 
r.f 
r.c.f 
148  152 
6 
6/45 = ans 
0.133 
153  157 
11 
11/45 =ans 
0.377 
158  162 
14 
14/45 = ans 
0.688 
163  167 
9 
9/45 = ans 
0.888 
168  172 
3 
3/45 =ans 
0.955 
173  177 
2 
2/45 = ans 
0.999 

45 


b) Which level of measurement (scale of measurement) is suitable for the following data in each example?
i) The lake SaifulMuluk is 10,578 feet above from the sea level. (Ratio Scale)
ii) If customers go to the shop for buying shoes and try different size of shoes. The sizes of shoes are 7B, 10D and 12E. (Interval Scale)
iii) The numbering on Tshirts of players in the cricket team. (Ordinal Scale)
iv) The weight of the person is 68 kg. (Nominal Scale)
Question 2: Marks: 5+3=8
a) Find the median, harmonic mean and 23^{rd} percentile for the following frequency distribution.
Class Boundaries 
Frequency 
145 – 150 
4 
150 – 155 
6 
155 – 160 
28 
160 – 165 
58 
165 – 170 
64 
170 – 175 
30 
Solution:
Boundaries 
f 
c.f 
145 – 150 
4 
4 
150 – 155 
6 
10 
155 – 160 
28 
38 
160 – 165 
58 
96 
165 – 170 
64 
160 
170 – 175 
30 
190 
median=l + h/f(n/2− c)
l = 164,h = 5,f = 64,n = 190,c = 96
CALCULATE YOURSELF PLEASE
Class Boundaries 
Frequency 
X 
1/X 
F(1/X) 
145 – 150 
4 
(145 + 150)/2 
0.007 
0.03 
150 – 155 
6 
 
0.007 
0.04 
155 – 160 
28 
 
0.006 
0.2 
160 – 165 
58 
 
0.006 
0.4 
165 – 170 
64 
 
0.006 
0.4 
170 – 175 
30 
 
0.006 
0.2 

190 


TOTAL= 
H.M =n/{∑f(1/x)}
CALCULATE YOURSELF PLEASE
boundaries 
f 
c.f 
145 – 150 
4 
4 
150 – 155 
6 
10 
155 – 160 
28 
38 
160 – 165 
58 
96 
165 – 170 
64 
160 
170 – 175 
30 
190 
P23 = l + h/f(23n/100 − c)
l=164,h = 5,f = 64,n = 190,c = 96
CALCULATE YOURSELF PLEASE
b) Explain the concept of Geometric mean? Also find the geometric mean for the following data.
18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 22, 23, 24, 27, 30, 36
Solution:
x 
logx 
18 
1.26 
19 
1.27 
19 
1.27 
19 
1.27 
19 
1.27 
20 
1.30 
20 
1.30 
20 
1.30 
20 
1.30 
20 
1.30 
21 
1.32 
21 
1.32 
21 
1.32 
21 
1.32 
22 
1.34 
23 
1.36 
24 
1.38 
27 
1.43 
30 
1.48 
36 
1.56 

19.46 
g.m = log G = (∑ log X)/n
CALCULATE YOURSELF PLEASE
Tariq bhai sub questions key calculations galat hain.
calculation mostly wrong hai.......
Ratio scale
Nominal scale
Ordinary scale
Ratio scale
Median: =160+(5/58)(9538)=164.91
Percentile =160+(5/58)(43.738)=160.49
Harmonic Mean : =190/1.157166=164.19
GM=Antilog(1/nƩlogx)
=Antilog(1/10(26.71))
=21.87
© 2019 Created by + M.Tariq Malik. Powered by
Promote Us  Report an Issue  Privacy Policy  Terms of Service
VU Students reserves the right to delete any profile, which does not show any Activity at site nor has not any activity more than 01 month.
We are usergenerated contents site. All product, videos, pictures & others contents on vustudents.ning.com don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com or Contact us at contact Page with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List  Moderators Group
All Members  Featured Members  Top Reputation Members  Angels Members  Intellectual Members  Criteria for Selection
Become a Team Member  Safety Guidelines for New  Site FAQ & Rules  Safety Matters  Online Safety  Rules For Blog Post