faltan wrote:
I felt dumb, I couldn t get how you infer "people who ranked Y number 1 = 30% of 200 = 60." from the graphs? maybe cause it's late here
Question states:200 people responded to a survey that asked them to rank three different brands of soap. The percentage of respondents that ranked each brand 1st, 2nd, and 3rd are listed above.
If no respondents rated the soaps in the order Y, Z, X, how many respondents rated the soap in the following order: X, Y, Z?
Given:The first graph tells up how many people rated each brand of soap number 1:
40% rated X number 1. 30% rated Y number 1 and 30% rated Z number 1.
The second graph tells up how many people rated each brand of soap number 2:
45% rated X number 2. 40% rated Y number 2 and 15% rated Z number 2.
The third graph tells up how many people rated each brand of soap number 1:
15% rated X number 3. 30% rated Y number 3 and 55% rated Z number 3.
YZX = 0. ----
eq (1)Calculations15% = 30 people rated Z number 2. Possible combinations with Z in middle is XZY or YZX. So, 30 people voted for XZY because no respondents rated the soaps in the order Y, Z, X.
Basically,
XZY + YZX = 30 ,
From eq(1) we get XZY + 0 = 30 ,
XZY = 30 ---
eq (2)40% = 80 people rated X number 1. These people voted for XYZ or XZY .
Basically,
XYZ + XZY = 80.
From eq (2), we get XZY = 30 .
XYZ + 30 = 80.
So, XYZ = 50.