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- Our family owned a sari-sari store, then my dad noticed that the sales of our Coca-cola product was erratic from Monday to Sunday. He said that the sales from day 1 has a total of 15 then it became 16 then 7, 13, 11, 15, 10 in the following day.
- Sure dad, I can help you on that thing!
- Hey son, can help you me to find the value of the 40th percentile of our Coca-cola product?
- So dad, the first thing we need to do is to arrange all the values in ascending order. Then, we will use the formula Pk = k/100 (n+1)
- Therefore, the arrangement of the values will become 7, 10, 11, 13, 15,15 ,16
- Okay son, that's great!
- Then, substitute the given numbers to the formula, which n = 7 and k = 40
- P40 = 40/100 (7+1)P40= (8) 40/100P40= 320/100P40 = 3.2
- Okay okay I think get it.
- Hmmm... do you have any idea?
- But dad, this is not the exact position of the value that we are finding.
- P40 = 40/100 (7+1)P40= (8) 40/100P40= 320/100P40 = 3.2
- Hmmm... I think we need to round off the value that we got earlier??
- 7,10, 11, 13, 15, 15, 16
- Great job dad your'e right! So the estimated value will become 3, then the 3rd position in the given data is 11
- P40 = 40/100 (7+1)P40= (8) 40/100P40= 320/100P40 = 3.2
- And also, the meaning of the value 3.2 is the position of 40%!
- So dad, the value of the 40th percentile that we were looking earlier is only 11!
- Thank you son you helped me a lot!!
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