BallisticWeasel
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- Apr 16, 2022
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Question 3
A survey based on 152 employees in the public sector, relating to their preferred automobile brand revealed the following: 98 employees prefer Lexus; 85 prefer Amarok; and 65 prefer Mercedes. 40 of them prefer Amarok and Mercedes; 42 prefer Lexus and Mercedes; 25 prefer Amarok only; 18 prefer Mercedes only.
Draw a Ven Diagram to illustrate this information (8 marks)
a) how many prefer Amarok and Lexus but not Mercedes? ( 2 marks)
b) how many preferred Amarok or Lexus but not Mercedes? ( 2 Marks)
c) How many preferred Lexus only? ( 2 Marks)
d) how many preferred all three brands? (2 marks)
e) whichis the greater number; those who prefer Lexus and Mercedes; or those who prefer Mercedes and Amarok; by what percentage is it greater? ( 4 marks)
Answers i got...
a) 20
b) 81
c) 36
d) 146
e)Lexus and Mercedes. 28.58%
3.2 In order to gain more insight on employeespreferences, twenty three (23) employees from the private sector were asked about automobiles of their preference. Five (5) of them dislike all three brands. Eight (8) preferred both Lexus and Mercedes. Another eight (8) of them preferred both Mercedes and Amarok. Four (4) of them preferred all three brands. Four (4) prefer Mercedes only. The remainder preferred Amarok only.
i) how many of the twenty three (23) employees prefer Lexus only ( 2Marks)
ii) How many of the twenty three (23) employees prefer Amarok only (2 Marks)
iii) From the total of one hundred and seventy five (175) employees from both the public and private sector, howmany employees disliked all three brands? ( 2 Marks)
iv) What is the percentage increase i. The number of employees who preferred all three brands? ( 4 Marks)
v) Compute the percentage decrease in the proportion of employees that prefer all three brands ( 5 Marks)
Answers i got.
i) 0
ii) 2
iii) 11
iv)?
v)?
Please help me underatand how to calculate iv and v. I am unsure of what is required.
Regards
A survey based on 152 employees in the public sector, relating to their preferred automobile brand revealed the following: 98 employees prefer Lexus; 85 prefer Amarok; and 65 prefer Mercedes. 40 of them prefer Amarok and Mercedes; 42 prefer Lexus and Mercedes; 25 prefer Amarok only; 18 prefer Mercedes only.
Draw a Ven Diagram to illustrate this information (8 marks)
a) how many prefer Amarok and Lexus but not Mercedes? ( 2 marks)
b) how many preferred Amarok or Lexus but not Mercedes? ( 2 Marks)
c) How many preferred Lexus only? ( 2 Marks)
d) how many preferred all three brands? (2 marks)
e) whichis the greater number; those who prefer Lexus and Mercedes; or those who prefer Mercedes and Amarok; by what percentage is it greater? ( 4 marks)
Answers i got...
a) 20
b) 81
c) 36
d) 146
e)Lexus and Mercedes. 28.58%
3.2 In order to gain more insight on employeespreferences, twenty three (23) employees from the private sector were asked about automobiles of their preference. Five (5) of them dislike all three brands. Eight (8) preferred both Lexus and Mercedes. Another eight (8) of them preferred both Mercedes and Amarok. Four (4) of them preferred all three brands. Four (4) prefer Mercedes only. The remainder preferred Amarok only.
i) how many of the twenty three (23) employees prefer Lexus only ( 2Marks)
ii) How many of the twenty three (23) employees prefer Amarok only (2 Marks)
iii) From the total of one hundred and seventy five (175) employees from both the public and private sector, howmany employees disliked all three brands? ( 2 Marks)
iv) What is the percentage increase i. The number of employees who preferred all three brands? ( 4 Marks)
v) Compute the percentage decrease in the proportion of employees that prefer all three brands ( 5 Marks)
Answers i got.
i) 0
ii) 2
iii) 11
iv)?
v)?
Please help me underatand how to calculate iv and v. I am unsure of what is required.
Regards