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  • Our foamily 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 mom, I can help you on that thing
  • Hey Hannah , can you help me to find the value of the 40th percentile of our Coca-Cola product?
  • so mom, 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, 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
  • but mom, 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
  • Hmm.. do you have any idea?
  • Hmmm.. I think we need to round off the value that we got earlier??
  • Great job mom you're 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
  • 7, 10, 11, 13, 15, 15, 16
  • And also, the meaning of the value 3.2 is the position of 40%
  • So mom, the value of the 40th percentile that we were looking earlier is only 11!
  • Thank you my daughter you helped me a lot!
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