POSITION MEASURES

0:00Hi, hello, good morning, good afternoon,

0:02good evening kung kailan mo pinapanood

0:04itong video na ito and I hope you're all

0:06doing well. So in this video, we will be

0:08discussing the last topic for our which

0:11is the position measures. So sabi diyan

0:14we are going to understand relative

0:16standing in a set of data. is important

0:18that you be reminded that we are

0:20studying the relative standing na

0:23relative standing relative standing po.

0:26Ibig sabihin saan siya banda doon sa set

0:28of data natin saan banda 'yung position

0:31niya 'yung standing niya so we have here

0:33so ayan siya where does a score stand

0:36and then where does a score stand so

0:39position measures describe the rank or

0:42relative location of a score compared

0:44with other score. So kunwari meron

0:46tayong 90th%.

0:49Agag sinabi nating 90th time hindi ibig

0:52sabihin na 90% ang nakuha niya o kaya

0:56naman lamang siya sa 90 na tao. Ibig

1:00sabihin 90% ng population or ng test na

1:04kasabay niya is mas mataas siya. So that

1:07is position measures. Now pag-usapan

1:09natin yung iba't ibang position

1:10measures. So what are position measures

1:13ba? These are statistical tools that

1:15tell us where a score stands compared

1:18with other scores. No compared with

1:21other scores ha. Kasabay na lang

1:24nag-take no exam o kaya naman merong

1:26norm. Yan no. So ico-compare natin 'yung

1:29score niya doon sa mga iba pang tao. So

1:32this describe a scores rank or relative

1:34standing rather than the typical score.

1:37'no? Kasi in statistics parang walang

1:40kwenta pag sinabi niyang o ang nakuha

1:41niya 80. Yung isa naman ang nakuha niya

1:44rin 80. O tapos parang wala siyang ibig

1:47sabihin no. So using position measures

1:50masasabi natin na kunwari 80 mas mataas

1:53siya nasa 90th percentile siya. Ito na

1:56nga isang AP nasa 75% time. Makikita

1:59natin na mas maganda yung naging

2:01performance nitong isang 80 kasi nasa

2:0390% siya. While ito namang isa nasa 75%

2:08no. So ayan po si relative or relative

2:12standard. So the area special in use for

2:14when we want to know whether a score is

2:16relatively low, middle or higher hair or

2:18height compared to others. No tandaan po

2:22ha. Compared with others courses.

2:24Position measures po 'yan. So why are

2:26position measures important?

2:29So bakit ba kailangan natin ng position

2:31measures? Una is yung itdetermines rank.

2:34For example na isang student nasa 9th

2:36present siya alam natin na yung score

2:40niya mas mataas doon sa group kasi 98%

2:43ibig sabihin 90% of all the tester

2:46nalamangan niya ' ba ang taas. Tapos

2:49compare performance no? Kunwari si

2:51student A 85 siya sa mathematics, si

2:54student B naman 85 din siya sa science.

2:59Ayan sa si student A, student B 85 siya

3:03sa science, mat science. No, yung

3:06numerical score nila parehas lang. Pero

3:09pag sinabi natin na si student A nasa

3:1260th person tile, si student B nasa 90th

3:15file, alam natin that their relative

3:18performance are different. So si

3:21position measures, it can help us also

3:22to identify high and low performers, no?

3:27Bakit? Kasi in psychological testing and

3:29assessment, no, magiging topics din or

3:31magiging uh subject din ninyo next sem

3:36next year.

3:38second

3:39next basta yun magiging ano niyo rin no

3:42importante ito no kasi yung row score

3:45lang hindi tayo gumagamit ng rose score

3:47doon no hindi natin kasi mabibigyan ng

3:50meaning yung mga scores nila kung raw

3:52score lang kaya kino-compare natin doon

3:55sa position measures na kino-convert

3:58natin, piniputan natin kung saan banda

4:00nagfo-fall yung mga scores nila

4:02interpret test and examination results

4:06ganun din siya Eh 'di ba pag raw score

4:08lang hindi siya maganda no? Lalo na sa

4:12NMAT. Si Nmat po kasi ang ginagamit

4:14diyan ay ah percentile no? Pag sinabi

4:18doun sa Nmat results mo ang percentile

4:20mo ay 20th. Ibig sabihin ang baba ng

4:23score mo. Bakit? 20% lang nilamangan mo.

4:27Dapat 100% lamangan mo lahat no? Para

4:31masabi na you are above others na your

4:34score is above others. Now analyze

4:36research data kasi there are researchers

4:39that use presenter no o kaya naman mga

4:44journals o kaya mga other position

4:46measures like quares um desel yan. So

4:51you need to be familiar with them. Okay.

4:53Next naman we have different types of

4:55position measures. So una diyan si media

4:58na we've already discuss. So dini-divide

5:00niya ang data natin into two parts. Ke

5:03point 50% is sa upper, 50% ay lower, 50%

5:07sa upper. Quartiles naman, it divides

5:10the data into four parts na 25% each

5:14part. Kunwari ito 'yung data natin.

5:17Kunari lang 'yan ha. Data 'yan. 1 2 3 4

5:195 yung data natin into four equal parts.

5:25Ganyan siya tatlong quares. Q1, Q2, Q3

5:30pero four quarters.

5:33Now, queen tiles naman it divides data

5:35into five parts. So, parang ganun din.

5:37Dagdagan lang ng isa, 2 5. No? Magiging

5:41five ito k1, K2, K3, K4 pero five parts

5:45siya. So syempre 100 / 5 that is 20%

5:49each. Ganun din sa death sales

5:51dini-divide niya into 10 parts. So ibig

5:53sabihin meron tayong 10% each and sa

5:56percentile naman 100 part. So 1% each.

6:00So unahin natin si median na alam ko

6:02kung alam na alam na rin na si median

6:06kailangan ay hindi sabi niya diyan na

6:09divides order data into two equal parts

6:13so kailangan ang gagawin natin

6:15ia-arrange muna natin ang data into

6:17lowest to highest o may mga nadali dito

6:20hindi nila inarrange ang data nila kaya

6:22naman eh so after that hanapin natin

6:24yung median ' ba meron tayong formula

6:26pwede ring bilangin na lang 2 4 6 7 alin

6:30siya diyan 28 tatlo 'yung nandoon tatlo

6:33yung nandoon equal parts tama next naman

6:37natin quartiles si quartals naman it

6:40divides

6:42divides the data into four equal parts

6:45ordered data ibig sabihin arrange pa rin

6:48po siya

6:51arrange pa rin po siya so gaya ng sabi

6:55natin kanina si natin

7:01For example, di-divide niya into four

7:03equal parts.

7:06Hindi naman pantay-pantay.

7:14Meron for equal 12 parts yun.

7:17Ngayon ito Q1 po natin. Ay mabura.

7:21Ito po si Q1 natin. Q2 Q3. Syempre matic

7:26Q2 nasa gitna is 50 percentile din

7:30tapos median din siya. Bakit? Kasi ba

7:33ang gitna natin median no? Divides the

7:36data into two equal parts. This is

7:38equal. This is equal. No kaya naman

7:40numbers no. 1 2 3 4 5 6 7 8 di-divide

7:46niyo into 3 quar

7:52sobra

7:59three quartals. Quartal one, quartal two

8:02quartal 3.

8:04Bray natin 'to.

8:08Yan no. Quartile 1 natin is nasa pagitan

8:12ng

8:152 and 3. Quartal 2 natin pag ng 4 and 5.

8:18Quartal 3 natin pag ng 6 and 7. Kung

8:21makikita ninyo it divides the data into

8:23four equal parts. Meron tayong three

8:24quarts. So this is our median. Ang

8:26median natin 4 + 5 is 9 / 2 4.5. Ano ang

8:32quartile 2 mo? 4.5 ano ang quartile 3

8:35mo? 7.5 ay 6.5 5 4 ewan mo ano 2.5 Five.

8:42So ganun po siya. So ngayon pag sinabi

8:44niya ang score niya is nag-fart

8:473 ibig sabihin alam mo na mataas yung

8:49score niya

8:51relative to others. Bakit? Kasi nandito

8:54siya nabanda. Pero pag nasa Q1 lang siya

8:56ibig sabihin mababa siya kasi yung score

8:58niya is nasa lower part. Okay. Next

9:01naman natin si queen tile. Si queen tile

9:03kung makikita natin it divides the data

9:05into five equal parts. Parang ganun din

9:08naman. Magdadagdag lang.

9:10Dagdagan natin ong data natin. 9 10

9:14Quintales na yan

9:21sa baba na lang.

9:231 2 3 4 5 6 7 8 9 ano to quintales.

9:31Bakit siya naging quintes? So it divides

9:33the data into five equal parts.

9:37Yan. Tapos mayon tayong K1, K2, K3, K4,

9:41K5. Ito ay 20%,

9:4420%, 20% 20% 20% 100% / 5. So ganun

9:52siya. So ibig sabihin K3 means

9:54approximately 60% of observations are

9:57below it. Asan ang K3 natin? This one.

10:03Kindles naman are less commonly used

10:05than quartales, tessels and present. So

10:08ayan pero kailangan pa rin nating

10:09pag-aralan. Then we have deciles. So

10:12decils naman. So from the third des it

10:15divides the data into 10 equal parts.

10:18Tignan ninyo ordered data ulit sinabi.

10:20So kailangan talaga ang data natin are

10:22arranged in order. Now each part

10:26represents 10% of the data kasi nga 10

10:30equal parts 10 50 70 100.

10:36Bakit yan? Ano yan ha? Ah 10 D1 D2 D3 D4

10:40D5 D6 D7 D8 D 10 hindi na nilagay lahat

10:44no pero kunwari binigyan kayo ng data

10:47sabi doon ang B7 daw ay 70.2 anong ibig

10:50sabihin non? 70% of scores are below

10:5370.2 2 ano naman sinabi B5 is

10:58ah 90

11:01na ibig sabihin 50% of scores or

11:06approximately 50% of scores are lower

11:09than 90 so that is decales then we have

11:12percentile. Sa percentile ito ang

11:14kadalasang ginagamit natin no lalo na in

11:17different kind of test. So siental naman

11:19i-divides si data into 100 equal parts.

11:21Pinakamadali rin kasi no 100% equal

11:25parts. It makes sense 'di ba? So each

11:28percentile represents approximately 1%

11:30of the distribution. So ito yung ano

11:33niya equivalent niya no? Kasi pag clean

11:35mo sila

11:36'di ba? Quartile 1, quartile 2, quartile

11:393. Ito 25% yan. Ito 50% ito 75%. Kasi

11:45titingnan niyo 'di ba? 25 25

11:50no? So P25 or per 25 percentile isa Q1

11:5750 percentile is median and also Q2 then

12:02also that and 90th percentale. So ibig

12:05sabihin po dito is yung percentile or 88

12:08percente. means that approximately 80%

12:11of scores are below that value. Pero

12:13hindi natin sinabi na ang kunwari ang

12:16percentile niya 80. Hindi natin sinasabi

12:19na 80 'yung nakuha niya or 80 mas mataas

12:21siya sa 80 na tao o kaya naman ah

12:26ano pa ba? Wala basta 88% dahil ibig

12:29sabihin mas mataas siya doon sa 88% ng

12:33test ah papers no. Yan. Next naman

12:37natin, general steps for finding

12:39position measures. So as you as youve

12:42noticed lahat po ng scores is kailangan

12:45sabi diyan i-arrange no from lowest to

12:49highest. Hindi niyo po magagawa ang

12:51paghanap ng position measures kung hindi

12:53ninyo in-arrange from lowest to highest

12:55kasi mamamali kayo. Then find the end.

12:58The number of scores. Actually this one

13:00meron silang mga formula no pero hindi

13:02na natin tututukan no. dito na lang tayo

13:05kasi itong mga position naman na ito

13:07sinasabi nila kung pang ilan ka doon sa

13:11uh mga testers ung relative standing mo

13:14position measures mo. So number of

13:16scores

13:18find n. So for example ah nagbigay na

13:21lang ako ng data pala ituro ko na rin

13:23siya. 35 42

13:2851

13:3163

13:35okay calculate the position using the

13:37formula kunwari 7 yan 7 data depende yun

13:40kung anong gagamitin and quartile ba

13:42decil ba or percentile no tapos you

13:45locate the value tapos kunwari ang

13:47nakuha mo ay 4.5 Five

13:52dito. Kailangan mo siyang i-interpolate.

13:56Paano mo siya i-interpolate? 'Yung

13:58ginagawa natin na kung ano yung nasa

13:59pagitan kunari 4.5 2 4 6 7 1 2 3 4 5

14:06itong 51 4.5 nasa gitna nila. So 51 + 57

14:11is 108 / 2 is 54. So 'yun na ang iyong

14:20ano position or 'yan 'yung data. Ibig

14:23sabihin uh 54 yung sa media natin ibig

14:28sabihin 50% of scores are lower than 54

14:32or 50% of scores are higher than 54. So

14:36interpret the results is the percentage

14:38of scores below that position. Yun din

14:40yung sinabi ko kanina 54 nakuha natin.

14:43Median yung kinuha natin kanina. So ibig

14:45sabihin 54 ay

14:4850% of scores fall below 54%.

14:5350% of scores also fall above ay 50%

14:58also fall above 54.

15:01Basta ito yung value ng scores. Ito yung

15:03kung ilang percent pinag-fall below or

15:05above. Depende ito sa media na ito.

15:08Okay. Quick memory guide si quarters. Of

15:10course quarter

15:13divides the data into four parts. Each

15:17part 25%.

15:20Queen tiles naman denoted by cake five

15:23parts and 20%.

15:26Thees ganun din po 10 10%. Percentiles

15:30100 to 1%. Okay, next naman natin si

15:35interquile range. Si interquartile range

15:37naman actually madali lang no?

15:41If yung kanina natin ba quartal yun

15:43meron tayong Q1 ayan pala sa baba meron

15:46tayong Q1, Q2, Q3. Ngayon kasi kapag

15:49merong Q1, Q2, Q3 merong ba meron tayong

15:52mga outliers, meron tayong mga extreme

15:54values and quartile range will be

15:57affected by those values no. So ngayon

16:00interqual range kasi ang nakukuha niya

16:03is 'yung nasa Q3 natin - Q1. Ibig

16:05sabihin natanggal niya 'yung effect or

16:10'yung influence ng mga extreme values

16:12natin. Kaya interquartile range for

16:15example ang quartile 3 natin ang value

16:1890 quartal 1 natin ang value 10 o mamaya

16:21na natin 80. Ayan na siya. Nakuha na

16:23natin.

16:26We have your data. 1 2 3 4 5 6 7 8

16:31di-divide natin into three quartals.

16:34That are three quartals no? Anong value

16:37ng nasa Q3 natin? 6 + 7 is 13 / 2 6.5.

16:43Dito naman 2 + 3 5 / 2 2.5 o minus daw

16:496.5 5- 2.5 is 4. Ibig sabihin ng

16:52interquile range natin ay 4.

16:56Next naman quartal deviation. Si

16:59quartial deviation naman actually ito

17:02divided by 2. Very easy. Also called

17:06semi interquortal range measures

17:09variability based on the spread of the

17:11middle 50% of the data. So dahil middle

17:1450% is less affected by extreme values

17:18than the range and standard deviation.

17:20If you remember si range ' ba ang layo

17:22talaga highest minus lowest

17:28no? Kaya very ano siya mali siya. So ay

17:31hindi naman siya mali tama naman siya

17:33pero hindi niya naka-capture talaga. So

17:36excributions

17:37okay percentile deviation naman. So ba

17:41we have the percentile that divides the

17:42data into 100 equal parts tapos per part

17:461% no. So dito is semipercentile range.

17:50So ibig sabihin ang kukunin natin is P90

17:53- P10 / 2. So kunwari ang P90 mo ay 80

17:59P10 mo ay 10.

18:0270 -

18:042 ay divided by 2 = 35. That is your

18:09percental deviation or semi-perscental

18:12range. Very easy siya talaga. It

18:14examines a broader person of the

18:16distribution while minimizing the

18:18influence of extreme scores. Kaya tayo

18:22nagkakaroon ng mga ganito no

18:24semipercentile range, semiquartile

18:27range, interquartile range kaya tayo may

18:30ganyan para ma-minimize ang influence ng

18:33extreme scores. Okay.

18:37We have ayan putting the concept

18:40together is median it divides the data

18:42into two equal parts no meron tayong

18:45center nasa center si median so 50% siya

18:49ibig sabihin 50% of scores falls below

18:53the median and 50% of score fall above

18:56the median quartiles divides the data

18:58into four equal parts so meron tayong

19:00three quartil four quarters tandaan po

19:04yun ha quintals naman meron tayong five

19:06parts

19:07by K no meron tayong five ay four na

19:11ganyan five na parts okays natin it

19:15divides data across 10 parts percentals

19:19syempre 'di ba 1% per port so 100 parts

19:23so interquartal range spread of middle

19:2650 bakit quartal divided by

19:30or yung q3 natin - q1 kaya spread of

19:35middle siya no? Q din naman natin half

19:39of this one. So Q3 Q1 / 2 natin yung

19:44half nung P10 and P90. So 'di ba dito

19:47P90 - P10/

19:512. So key takeaways natin for this one

19:55is that position measures describe the

19:57relative standing of the score. Hindi po

19:59kung ilan yung nakuha nila mismo kundi

20:01nasaan banda yung score nila sa sa

20:05scores or set of scores natin. So median

20:08divides the data into two parts. Square

20:10tiles into four, queen tiles into five,

20:12ds into 10 and personal tiles into 100.

20:16Percental interpretations describe the

20:18approximate percentage of scores below a

20:21given value. IQR, QD and PD

20:26describe variability while reducing the

20:29influence of extreme scores. Then always

20:32arrange the data and interpret the

20:34position in context. No arrange po muna

20:37natin para hindi tayo mamali. Tapos

20:39i-interpret natin depende doon sa

20:42ginamit ' kung ano ba median, quintals,

20:46thessales, percentals nakadepende po

20:48doon ha. Huwag po kayong maliligaw.

20:52Ay ayan na siya. So thank you for

20:54listening. I hope you have learned

20:56something from this video and if you

20:57have any question don't hesitate to

21:00message me and you try to answer sa

21:03group chat. Ayan. Ba-bye. Ingat kayo.