Full transcript of “QUARTILES, DECILES AND PERCENTILES OF UNGROUPED DATA || GRADE 10 MATHEMATICS Q4”. Click a timestamp to open the video at that moment. Need another video? Use the YouTube transcript generator.
0:03 [Music] we will discuss about how to compute the quartiles deciles and percentiles of ungroup data measures of position it is a number that tells where the score stands relative to the others in a set of data so we're going to locate the position or the rank in a given score on a given data it is a measure whether a value is about the average or whether it's unusually high or low it is used for quantitative data that falls in some numerical scale
0:50 and also it can be applied to ordinal variables so when you say ordinal variables it involves ranking orders and places so in computing the measures opposition of and group data so we're using three methods first using the general method second using the linear interpolation enter using the mendelhold and synthetic method so we have three we have three common measures of position the quartiles decides and percentiles so to compute the quartiles of ungroup data so when you say quartiles class it is
1:36 the score points which divide a distribution into four equal parts so for example maritime sampling distribution detail so this one is the quartile two okay so
2:35 and that is twenty-five percent of the distribution titanium anatomic italian third quartile argentina tower grenadine upper quartile that is 75 of the distribution measures of central tendency and then again or the lower uh value nathan okay
3:23 that is 25 of the data fall below the first quartile and then [Music] so that is 50 or below the second quartile and then for the third quartile or you offer valenito that is 75 percent are less than the third quartile and also uh betting up how to compute the interquartile range so interquartile range that is the difference between the value of your third quartile and the value of your first quartile so tata and along
4:11 okay [Music] okay and then after that uh using the same method so nothing's the first quartile and third quartile okay all right so for example number one the owner of a coffee shop recorded the number of
4:57 customers who came into his cafe it's are in a day so the results were 14 10 12 9 17 5 8 9 14 10 and 11. so find the lower quartile and the upper quartile of the data so ibiza first quartile in the third quartile arrange the score in ascending order okay so arpeggio in descending order ascending or descending order but ah dito class of measures opposition
5:42 important in ascending order okay locate nothing in position number [Music] nito so since eleven nito so a new middle value nathan yung pang six okay so yum punch six so one two three four
6:28 five six so it makes a big end okay [Music] [Music]
7:15 lower quartile nathan soditos uh left side newton middle value nothing so maritimely among scores okay and then i think in the computing media [Music] it is given the scores middle value nothing since it told them so it's a long middle value nothing and that is nine so if it's a bm the lower quartile is nine next the tournament is the right
8:03 side and middle value not end so meron the entire lima okay the amount of scores so i'm the youngest in gen so that is 14 so eb sub n the first quartile is 14. interquartile range and that is the difference uh between the value of your third quartile and your first quartile so paquino interquartile range so 14 minus nine the answer is five next consider the set of score in a quiz in math 10 of section result 11 13 14 15 15
8:49 16 19 19 20. find the first quartile second quartile third quartile so again so arrangement and nothing in score in ascending order since a given score no in ascending order so kapinelang nothing and and then the value of n is equal to nine so maya and nine squares middle value so a new middle value net in detail that is 15. so it makes a bn quartile two so nothing in quarter two or the median so in quarter to nothing or in second quartile nothing is equal to
9:35 15 next in first quartile so maritime apatness squares details the left side of middle volume in first quartile middle value so 13 14 that is 27 divided to 27 divide 2 that is 13.5 so in ebik's a b hand on first quartile not 10 is equal to 13.5 next for third quartile sega
10:30 so 19 plus 19 divide two that is 38 divided the answer is 19 so in third quartile not n is equal to 19. so to compute the interquartile range 19 minus 13.5 the answer is 5.5 next uh to compute the decimals of ungroup data ibizabinum decels class they need divide not ending distribution into 10 equal parts so using the formula so this okay so you did class issue a position you know like for example pinappahan
11:20 l is the total number of that is the total number of scores given the scores so again and then that is the number of observations deciles glass
12:20 so to illustrate the deciles so halibut and that is fifty percent of the distribution okay so nito matata first decide and that is ten percent of the distribution okay so halimbawa nandito a pixabinito fourth decile nathan forty percent no scores okay a less than sagan okay so six decile that is 60 percent in
13:06 seventh deciliter that is seventy percent you know eight decimal not then that is eighty percent and young ninth there's another end that is ninety percent no non distribution so me jan is equal to the fifth decile so again equal second quartile for example find the third decile or a d sub 3 of the following test scores of a random sample of 10 students 35 42 40 28 15 23
13:52 33 20 18 and 28. so in ascending order and then since in third decile formula case n or k times n over 10
14:43 kenya eye six so nothing synaptics over ten okay constant support millennium decile so 3 times 10 that is 30 divide 10 the answer is 3. so my kitten nothing clash
15:35 third element and that is the third decile so an e-bikes are being on 30 percent okay so 30 percent no sampling students okay 30 non-10 students class i next mrs rogan is a mathematics teacher so she gives a 60 item
16:22 test for religion class the score of 15 students are 20 35 55 28 46 32 25 56 55 28 37 60 47 52 and 17. so find the value of the second decile seventh decile and eight decile again ungagawan arranged the score in ascending order so in ascending order nothing okay and then you
17:27 so 2 times 15 divide 10 and that is 30 divided 10 the answer is three again whole number second decimal point element or long data s so the second decile is 25 next okay the seventh decile so seventh decile papalito ten and seven seven times fifteen divide ten that is one hundred five divided ten the answer is ten point five so it is
18:22 around to the next larger whole number in sagutna then since 10.5 11 7 7 upon 11th element or 11th data sagivan so milan tayo one two three four five six seven eight nine ten eleven so eb sub n new uh seventh decile is equal to fifty two so an e big sub initial class seventh day decimal that is seventy percent no non scores so seventy percent of fifteen students i must
19:22 52 next eighth decile so again so 8 times 15 that is 120 120 divide 10 the answer is 12. since whole numbers so one two three four five six seven eight nine ten eleven twelve so eb sabinian you know eight decile latin a 5555
20:12 so another measures opposition is percentile so paninatin percentiles so again percentiles are the score points which divide a distribution into 100 equal parts eb 150 percent 50 percent no uh distribution attend that is equal to uh 50th percentile so in 50th percentile and class equalizer media 10 again you media nathan equals a 50th percentile observing kanina class your media nathan equals the second quartile subtitle
20:57 ends up 50th percentile so your [Music] 10 10.3 so go in and nothing eleven number one is ten point four govinda nothing eleven okay the lists show the number of bottles of
21:44 strawberry jam sold in a day by 14 different vendors 20 18 16 10 12 15 13 9 11 16 16 18 and 20 so sold for the 43rd percentile 16th percentile and 75th percentiles okay so anyone and nothing is 14 arrange the score in ascending order so nothing similar in arrangement score in ascending order so using the formula k times n over 100 computing 43 uh 43rd
22:32 percentile 60th percentile indian 75th percentile so 911 43 okay so 43 papa literally nothing unknown 43 times which is 14 so 43 times 14 that's right 602. 600 to divide 100 the answer is 6.02 so sabika nina because uh because uh previous slide nothing capacity whole number in sagot and around to the next whole number since decimal 7. 43rd percentile
23:26 one two three four five six seven okay ibiza began in 43rd percentile nothing i equals 15. 43 no sales distribution fall below 15 battles next tile okay to compute the 60th percentile so papari okay 1960 60 times 14 that is 840 840 divide 100 the answer is eight point four since uh hindi shah hull number so in a
24:11 round of nothing to the next whole number so nine so 1 2 3 4 5 6 7 8 9. so the answer is sixteen okay so sixty percent no sales distribution fall below sixteen battles next in seventy five okay so papari telling nothing okay nothing is 75 so 75 times 14 the answer is 1050 1050 divide 100 the answer is 10.5 so again it is a
24:58 whole number so around the next whole number though and that is eleven so my kitten nothing in seventy percent are nothing eleventh data nothing so i can in a nine at all so ten eleven so 18 18 new uh 70 percentile nathan ibiza bean class 75 no sales distribution uh fall below 18 battles another class sopano in percentile rank so the percentage corresponding to a given value x is computed by using this formula
25:44 the number of values below x plus 0.5 over n times 100 so so find the percentage of a test score of 38 in the data set 42 33 38 30 27 40 49 okay so ilan elanian one two three four five six seven so need to see 38.
26:31 no any uh percentile 38 so using the formula okay using the formula una muna identify nothing number of values so 38
27:21 and that is 3.5 divide 7 times 100 the answer is 50. so ebic sub n the percentile rank of a test score of 38 is in the 50th percentile okay thank you for watching this video i hope you learned something don't forget to like subscribe and hit the bell button put updated ko for more video tutorial this is your guide in learning your mod lesson your walmart channel
