[Music] we will discuss how to compute quartiles deciles and percentiles of ungroup data using the mendelhold and synsetch method quartiles are the score points which divide the distribution into four equal parts so in second quark second quartile nothing is 50 percent so in 50 percent then distribution at the end of your middle value second quartile so using the formula k times the quantity of n plus one over four kappa gyeong hinahan up nothing class is on first square title kappa ginkino compute netting is first quartile attendee whole number in sagot and gagawinata around up nothing on ground up the computer is two point three goggle in the nothing three in two point seven three then sausage essence glass indeed divide nathan and distribution into 10 equal parts in first decile second decile and third decimal and fourth decile so a pack hindi whole number kappa kindly whole number is a good class round up tiles in uh sixth decile seven decile eight decile and nine deciles so you formula gaga meeting at end k times the quantity of n plus one over ten percentiles they need to divide nothing distribution into 100 equal parts so mulattito okay for first percentile 13th percentile 25th percentile 33rd percentile so around up again the whole number 10 [Music] or 83 percentile so anger in the manhattan migrant downtail so tanda and lang nathan's sub quartiles their cells and percentiles so my grand round up and round down per young second quartile the fifth decile and 50th percentile so in formula gaga mutants are percentiles k times n plus one over 100 for example find the lower and upper quartiles of the score of 13 students in their 20 item math quiz given the data set eight twelve fifteen two seven twenty five nine eighteen sixteen six and ten so i guys method company no computer score in ascending order and then coordinates [Music] so using the formula since you first quarter uh for first quartile so first part of nothing class spreading it 0.25 times n plus one so subtitles 13 so 13 plus 1 14 times 0.25 the answer is 3.5 so it is in a subject class [Music] foreign first quartile data so the lower quartile is the fourth data so um six now say one two three four saying six you from fourth data not then therefore your first quarter nothing or your lower quartile at ten is equal to six next you know upper quartiles are your third quartile 0.75 times n plus one substitution value n which is 13 13 plus 1 14 14 times 0.75 the answer is 10.5 so again uh hindi shah whole numbers so paganina hand up nothing is third quartile third quarter first quartile round up little man round down so 10.5 i 10 parent so indigenous chicago in 11. so again kapatari [Music] one two three four five six seven eight nine ten so it impacted data a big sub upper quartile net n is equal to 15. next find the first quartile second quartile and third quartile given the score of the 10 students in their mathematics activity so given the scores 4 9 7 14 10 8 12 15 6 and 11. so unga govern arrange the score in ascending order and identify value a 10 so first quartile second quartile and third quartile so using the formula for first quartile 0.25 times n plus 1 so n atom is 10 10 plus 1 equals 11 so 11 times 0.25 the answer is 2.75 since a hindi whole number in that and so nothing much round up first quartile round up so in 2.75 magiking three in a hand up that end next is in second quarter now then so point five times n plus one or pedrina meeting you company [Music] add not n that must divide it by two pero using the formula better in the monogamy then point fifty so times n plus one sub digit length n that is ten ten plus one is eleven eleven times zero point five five point five so a big sub union class nasa pagetan need fifth and six okay so an impact data nothing at three point six data you nine and ten so add nothing in the lower nine plus ten nineteen divide two the answer is nine point five so in second quartile then a nine point five next in third quartile net n is 0.75 times the quantity of n plus 1. substitute the value of n 10 plus 1 is 11 11 times 0.75 the answer is eight point twenty five so dito since third quartile young hinahan of nathan kayla nathan mug round down so cool so first quarter time round up so it's a third quarter round down this is a uh eight paddington in third quarter uh eight data show so an impact eight data ten so one two three four five six seven next a group of students obtained the following score in statistics quiz four eight nine twelve seven fifteen fourteen six ten and eleven find the third decile eight decile and ninety percentile so again arrange this score in ascending order and then you end that in d2i 10. okay so you own another computation third decile so using the formula and third deciline at n that is over 10 okay so max is a substitute that is a value nk is three because i third there's a l so three times the quantity of n plus one over ten or 3 substitution value num n which is 10 10 plus 1 11 times 3 11 times 3 that is 33 so 33 divide 10 the answer is 3.3 so since you third decide uh i know left side shot no fifth day nothing so nothing mug round up so in 3.39 [Music] then so one two three four so eight episode and third decimal at ten is equal to eight next so 8 times the quantity of n plus 1 over 10 so 10 plus 1 11 times 8 that is 88 88 divide 10 the answer is point eight so hindi renito whole numbers okay since eight decile uh 50th percentile not end ebitda round down one two three four five six seven eight so it so you ate dessert and i 12 next united percentile okay so compute not the united percentile so you might give you four million and that then 90 times n plus one over one hundred since percentilitos [Music] is a one hundred so again tandan quartile over 4 decile over 10 percentile over 100 so 10 plus 1 11 11 times 90 that is 998 divide 100 so 9.9 since he uh 90th percentile 50 percentile down so [Music] one two three four five six seven eight nine so fourteen so um ninety percentile net n is fourteen next the list shows the number of bottles of strawberry jam sold in a day by 14 different vendors 20 18 16 10 12 15 13 9 11 16 15 16 18 and 20 sold for the third decile seventh decile 15th percentile and 80 percentile so nahi nathan he arranged even in ascending order so you end up indeed is 14. first compute the third decile so papade three so three times then and nothing which is 14 so 14 plus 1 that is 15 15 times 3 45 45 divide 10 the answer is 4.5 since in third decile so one two three four five so it is equal to 13. next ebisubinito class back in interpret netanyahu 30 of the sale distribution fall below 13 battles okay next so seven times and nothing is fourteen so fourteen plus one fifteen times 7 so 15 times 7 the answer is 105 105 divide 10 what will be the answer 10.5 so 10.5 i hindi whole padenka pag the ground down in seventh day nasa tenth data so alignment data so one two three four five six seven eight nine ten so it impacted data so um seventh nessa netting is equal to sixteen a big sub n seventy percent of the sale distribution fall below sixteen battles next okay i'm 15 percentile so using the formula k times n plus 1 over 100 so substitution k 15 15 times so 15 times 15 that is 225 over 100 so 225 divided by 100 the answer is 2.25 since you 15 percentile i there's a left side no 50 percentage of uh one two three so in third data nothing is eleven okay so ibiza bien young fifteen 15 of the sale distribution fall below 11 battles next last night 80 percentile 80 times 14 plus 1 is 15 times 80 that is 1200 1200 divide 100 the answer is 12 since whole number instagram will land the time problem and the timer round up in the time of the round down so 80 percentile net and in 12 data so belong one two three four five six seven eight nine ten eleven twelve so etienne punk twelve data not end so you eighty percent and that then i equal to eighteen so 80 of the sale distribution fall below 18 battles 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