Here is

Here is a data set (n=117) that has been sorted.

10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1
19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22
22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1
24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9
26 26.1 26.2 26.7 26.8 27.5 27.6 27.7 27.7
27.7 28.2 28.8 28.8 28.9 29.4 29.6 29.7 29.7
29.8 29.9 30 30.1 30.1 30.3 30.4 30.4 30.6
30.7 30.7 30.8 30.9 31.1 31.2 31.2 31.5 31.9
31.9 32 32.2 32.5 32.5 32.6 33.3 33.4 33.4
33.5 33.7 34 34 34.2 34.3 34.7 35.3 35.7
36.1 36.2 36.4 37.1 37.4 37.9 38 38.1 38.8
40 40 40.5 40.5 40.9 41 41.3 41.7 41.7
42.4 42.4 42.4 43.5 43.6 44.5 46.8 47.1 47.9


Find the 92nd-Percentile:

Result

p92 =  42.4

Solution:

n=117 p=92  i=p100 n=92100 117=269125=107.64  i1=[i]=[107.64]=108  p92=data[i1]=data[108]  p92=42.4=2125n=117 \ \\ p=92 \ \\ \ \\ i=\dfrac{ p }{ 100 } \cdot \ n=\dfrac{ 92 }{ 100 } \cdot \ 117=\dfrac{ 2691 }{ 25 }=107.64 \ \\ \ \\ i_{1}=[ { i } ]=[ { 107.64 } ]=108 \ \\ \ \\ p_{92}=data[i_{1}]=data[108] \ \\ \ \\ p_{92}=42.4=\dfrac{ 212 }{ 5 }



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Our percentage calculator will help you quickly calculate various typical tasks with percentages.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Green - Red
    balls_2 We have 5 bags. Each consist one green and 2 red balls. From each we pull just one ball. What is the probability that we doesn't pull any green ball?
  2. Median and modus
    dice_3 Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell.
  3. Lottery
    lottery Fernando has two lottery tickets each from other lottery. In the first is 973 000 lottery tickets from them wins 687 000, the second has 1425 000 lottery tickets from them wins 1425 000 tickets. What is the probability that at least one Fernando's ticket w
  4. Class - boys and girls
    kresba In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl?
  5. Daily temperature
    thermometer The average of daily temperature measurements in one week every day at the same hour was -2.8 °C. All temperatures were measured in different days are different. The highest daily maximum temperature was 2.4 °C, the lowest -6 °C. Determine the options th
  6. 75th percentile (quartille Q3)
    statistics Find 75th percentile for 30,42,42,46,46,46,50,50,54
  7. Researchers
    house Researchers ask 200 families whether or not they were the homeowner and how many cars they had. Their response was homeowner: 14 no car or one car, two or more cars 86, not homeowner: 38 no car or one car, two or more cars 62. What percent of the families
  8. Kerosine and petrol
    kerosene if 4 litres of petrol containing 15% kerosine are added to another 7 litres of petrol containing 10% kerosine, what percentage of the petrol is kerosine?
  9. A perineum
    sequence_geo_9 A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?
  10. Normal Distribution
    normal_d At one college, GPA's are normally distributed with a mean of 3.1 and a standard deviation of 0.4. What percentage of students at the college have a GPA between 2.7 and 3.5?
  11. Median
    statistics The number of missed hours was recorded in 11 pupils: 5,12,6,8,10,7,5,110,2,5,6. Determine the median.
  12. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  13. Average
    chart If the average(arithmetic mean) of three numbers x,y,z is 50. What is the average of there numbers (3x +10), (3y +10), (3z+10) ?
  14. Median or middle
    Median2 The number of hours of television watched per day by a sample of 28 people is given below: 4, 1, 5, 5, 2, 5, 4, 4, 2, 3, 6, 8, 3, 5, 2, 0, 3, 5, 9, 4, 5, 2, 1, 3, 4, 7, 2, 9 What is the median value?
  15. Harmonic and arithmetic means
    Plot_harmonic_mean The local Utah Department of Child Service office wants to project staffing needs based on current social worker assignments. They have the number of cases per social worker for the following staff: Mary: 25 John: 35 Ted: 15 Lisa: 45 Anna: 20 Calcula
  16. Life expectancy
    normal_d The life expectancy of batteries has a normal distribution with a mean of 350 minutes and standard deviation of 10 minutes. What the range in minutes 68% of the batteries will last? What is the range in minutes approximately 99.7% of batteries will last?
  17. Average
    avg The arithmetic mean of the two numbers is 71.7. One number is 5. Calculate the second number.