Full transcript of “Interpretation and conclusion of the measure of variability Math 8 matatag Fourth quarter week 2”. Click a timestamp to open the video at that moment. Need another video? Use the YouTube transcript generator.
0:01 Hello everyone. Magandang buhay sa lahat at welcome back po dito sa aking Mathematics Tagalog tutorial. Sa video na ito ay papaliwanag ko po sa inyo on how to make conclusion and interpretation on the measures of variability. So paano nga po ba mag-conude and mag-interpret? Let us say we calculated that the range of the set of data is 10. So what does it mean? Or we calculated the mean deviation that is equal to 2.75. So what does it mean? Okay. So itur ko po sa inyo, ipapaliwanag ko kung paano po mag-create ng interpretation and conclusion. At ito po ay part one ng aking discussion about
0:47 conclusion and interpretation of measures of variability. Abangan po ninyo yung part two conclusion and interpretation of standard deviation and variance. To start the lesson, let us recall first the definition of variability. It refer to the scatter or spread of data around their central tendency. It indicate how the distribution scatter above and below the central tender. So dapat maunawaan po ninyo kung anong ibig sabihin ng variability. Hindi lang po basta't matuto tayo kung paano mag-compute ng variability. Dapat maintindihan po natin ano nga po ba ang variability ano po para tayo po ay makapagconclude at makapag-interpret ng result. Okay? So
1:32 ang key term po natin for variability ay spread or scatter. Kapag ilalagay po natin into figure, ito po yung figure ng variability. Isa po siyang curve. Okay. At ito pong main pick ng ating curve, ito pong pinakangentro natin. 'Yan po 'yung tinatawag nating central tendency dito. So 'yung central tendency, ito po 'yung pinag-aralan natin before, ung mean, median, end mode. So now naman ay variability. So sa previous discussion ko po, pinaliwanag ko dito kung paano mag-compute ng variability. Okay? Kung paano pag-compute ng range mean deviation or average deviation, standard deviation and variance. Okay. Ngayon naman ang focus po natin ay paano nga po ba mag-conlude at mag-interpret ng
2:19 result ng range at mean deviation. Kaya po sabi ko sa inyo ang discussion ko pong ito ay part one muna kung paano po mag-interpret at mag-conlude ng result ng rins and mean deviation. At 'yung part two, abangan po ninyo. Ipapaliwanag ko naman po don kung paano po mag ah interpret ng standard deviation and variance. Okay. So let's have an example. Unahin po natin yung range. Pero bago po mag-present ng example, ito po muna. Recall the definition of range as the difference between the largest value and the smallest value. So 'ag sinabi po nating difference, you are going to subtract the highest value minus the lowest value or highest score minus lowest score. 'Yun po yung range.
3:08 For number one example, the following are the scores of grade 8 students on their summative test in mathematics. So we have class A scores 10 17 12 13 14 and 16. And class B scores are 12 9 13 12 11 13 11 and 14. Okay. So ito po yung different scores ng grade 8 students sa class A and class B. Now, ito po yung ating guide questions. Ito po yung ating gagawin. Okay. For number one, calculate the range for class A and class B scores. And number two,
3:57 interpret what the range indicates about the variability in scores for its class. And for number three, discuss the strengths and weaknesses of using the range to measure variability. Okay. So isa-isahin po natin na sagutan o gawin ito pong guide question natin. Unahin po natin yung number one. Calculate the range for class A and class B scores. So ito po yung class A scores. Ito po yung class B scores. So again, as I recall, to calculate the range, subtract the highest score by the lowest score. Okay? So unahin po natin yung class A. At sa class A po, ito po yung lowest score 10 at ang highest
4:44 score po ay 20. So tama po ba? 10 is the lowest and 20 is the highest score. Okay? So if you are going to subtract range is equal to 20 - 10 that is equ to 10. So the range of class A is equ to 10. How about the range for class B? Ito po yung ating class B. So ano po dito iyung lowest score and high score. So bilugan ko. So ang lowest score po natin ay 9 at ang high score po natin ay 14. So tama po ba? Yes. 9 lowest 14 highest. Okay. So to get the range subtract the highest and the lowest score 14 - 9
5:31 that is equal to 5. So here the range of class B is equal to 5. So yun po yung ating number one na gagawin. Calculate the range. Okay. So itas ko po dito yung ating class A range and class B range para magkaroon po tayo ng space. At ito po yung number two na gagawin natin. Interpret what the range indicates about the variability in scores of each class. Okay? So ito naman ngayon. Paano po kaya natin interpret? Ang class A ang range po niya ay 10. Ang class B ang range po niya ay 5. So ito po yung aking na-prepare simple interpretation. So for
6:16 class A interpretation diverse performance levels among students. The scores are more spread out showing greater variability among students. Some students scored quiet low 10. Ito po yung low score. While others scored high 20. Okay. So ano pong ibig sabihin ng diverse performance sa ating interpretation? So paliwanag ko lang po ng konti. So pag sinabi po nating diverse performance, since mas malaki po yung range, ibig sabihin ay magkakalayo po yung scores natin. Okay? So medyo magkakalayo po o medyo watak-watak ng konti. Okay. Kaya po siya
7:03 niya sinabing diverse. So iba-iba po 'yung scores nila o magkakalayo po 'yung agwat ng scores. Okay? The scores are more spread out. Ito na po yun. So spread out magkakalayo showing greater variability among students. Okay? How about naman yung interpretation ng class B and then co-compare po natin. So for class B interpretation, consistent performance among students. The scores are closer together showing less variability. Student's performance is more consistent clustered between 9 and 14. Ito po yung 9 kanina lowest 14 highest. Okay. So ano naman po ang ibig
7:49 sabihin ng consistent dito po sa interpretation? So pag sinabi po nating consistent ay halos magkakapareho o magkakadikit po yung scores ng mga estudyante. Okay? Kaya po kapag mas malaki yung ah mas maliit yung range, mas closer po yung data, closer po yung mga scores ng mga estudyante. mas malaki iyung range magkakalayo or spread out yung kanilang mga score. So yun po yung ibig sabihin ng rangs. Okay? Kaya po nakalagay dito the scores are closer together. So magkakalip magkaka magkakadikit. So ibig sabihin halos iisa po yung naintindihan ng mga bata. Ano po? Kasi closer 'yung
8:37 alam nila, closer 'yung score nila. Dito naman sa class A, mas malaki yung range, spread out yung score. Ibig sabihin kasi kapag interpret natin ito, kapag spread out yung score, may natuto, may hindi natuto. Okay? Bakit magkakalayo sila ng score? Kasi kapag natuto lahat sila, ibig sabihin dapat magkakadikit lang yung score nila. Okay? So yun po yung ibig sabihin non. Okay. So, how about this number three guide question? Discuss the strengths and weaknesses of using the range to measure variability. Okay. So ito po yung strength and weaknesses. So ang strength po niya ay quick insight into the spread of scores. Okay? Pag sinabi po nating quick insight, makikita po
9:24 natin kaagad yung spread ng scores. Kasi ito po yung pinakamadaling i-compute. Ito pong range. Just subtract the high score by the lowest score. Kaya makikita mo na kaagad yung kanyang range. Pero yung weaknesses po niya ay sensitive to outliers ignores distribution of scores. So yung distribution of scores mula po doun sa mean ay hindi po natin gaanong mai-interpret ano po kasi ang tinignan lang po natin dito ay yung highest and lowest data or score. So yun po yung kanyang weaknesses. Okay. In other words, class A shows greater diversity in achievement while class B shows more
10:11 consistency. Okay? So yan po yung simple ah discussion ko about interpretation of range. Okay? So if we try to figure out the range of class A and class B using normal distribution, ito po yun. Okay. So 'yung class A diverse. So medyo magkakalayo 'yung score. Okay? While sa class B naman ay medyo magkakadikit 'yung kanilang scores. Okay? So here lagay po natin diyan spread out of scores at ito naman pong class B closer scores. So ito po yung keyword natin sa
10:58 interpretation. Ito pong class A diverse performance level at ito naman pong class B consistent performance level. Okay? So how about making conclusion and interpretation of mean deviation? So meron po tayong other terms sa mean deviation. Pwede po yan tawagin na average deviation. Kaya huwag po kayong malilito kapag ang narinig po ninyo ay average deviation. Pareho lang po yan sa min deviation. Okay. So let's try to recall the definition. The dispersion of a set of data about the average of this data is the average deviation or mean deviation. Okay? Kaya ang average or mean deviation ay naka-relate pa rin
11:46 doon sa average or mean. Okay. So ito pong average deviation or mean deviation, ito po yung kanyang formula to be used in calculating. Ito pong formula na ito ay para po sa ungroup data. At dito po sa formula, ito po yung ah ibig sabihin ng variables ng nasa formula. Okay? So hindi ko na po ipapaliwanag kung paano po mag-compute ng average or mean deviation kasi naipaliwanag ko na po sa ating previous discussion. So ang ipapaliwanag ko lang po dito ay paano po natin interpret kapag nakapag-compute na po tayo ng bin deviation. So ano pong ibig sabihin niya? So yun po yung conclusion and interpretation. Halimbawa store A ang mean deviation niya ay
12:33 approximately 2 and store store B ang mean deviation naman po niya ay approximately 1.5. So ano po 'yung ibig sabihin? So ano po 'yung conclusion? Ano po 'yung interpretation mula po sa calculated na min deviation? Okay. So ito po 'yung focus ko ngayon. Okay. So let's have this number one example. The managers of two stores, store A and store B want to understand the consistency of their monthly sales figures. The sales figures for the past year are as follows. Okay, we have store A. Ito po yung mga different features nila sa kanilang sales. At store B, ito
13:18 naman yung kanilang sales. So take note, ang sales po niya ay past year. Pag sinabi po nating past year nakaraang taon, ibig sabihin there are 12 months. Kaya yung data po natin ay 12. Okay? So 12 po ang data natin sa store A at 12 naman po yung data natin sa store B. Okay? At ito po yung ating guide na gagawin mula po dito sa ating problem. Number one, calculate the mean and mean deviation for store A and store B monthly sales. Number two, interpret what the mean deviation reveals about the consistency of monthly sales for store A and B. And third, discuss the
14:03 implications of these findings. Okay. So, isa-isahin po natin. Magbibigay po ako ng example, okay? Kung paano po ito interpret yung kanyang result. Okay. So, unahin po natin yung number one guide question natin. Calculate the mean and mean division for store A and store B monthly sales. Okay. So, here ang focus ko po dito ay conclusion and interpretation. Okay. So ang mean po niyan, sige turo ko po muna sa inyo paano po ba i-calculate yung min ' ba ia-add natin lahat yung scores or lahat nung data ito po ay sales and then divide natin kung ilan. So ito po yung ating store A. So ia-add
14:49 po natin, Idi-divide natin sa 12. Okay. So if you're going to add all the monthly sales of store A, ang samp then divid by 12. So if you're going to divide then that is 13. Okay. So ang mean po ng store A ay 13. At ang mean naman ng store B the same way ia-add lang po natin lahat nung monthly sales. Ito po yun. Pa-plus natin then divide by 12. So if you're going to add all the monthly sales of store B that is equal to 156/ 12 that is equ to 13. So ibig sabihin pareho po yung mean ng store A at yung mean ng store B.
15:35 Okay? Okay. So how about the mean deviation? Okay. Ito hindi ko na po pinakita sa inyo kung paano po computin yung mean deviation kasi naipaliwanag ko po ito kung paano mag-compute sa ating previous lesson. Ang focus po natin ngayon ay mag-interpret para pag para po hindi mapahaba yung ating discussion, ilalabas ko na lang po yung mean deviation of store A at mean deviation ng store B. Ang store A po ay 2 at ang store B naman ang mean deviation ay 1.5. So ilagay ko po sa tapat. Okay. So mean deviation of store A is 2 at mean deviation of store B is 1.5.
16:20 Okay. So about this number two guide. Interpret what the mean deviation reveals about the consistency of monthly sales for store A and B. Okay. So tingnan daw po natin yung consistency. Okay. So ito po yung simple interpretation. Higher mean deviation indicates that the store's monthly sales are less consistent with significant fluctuations from month to month. On the other hand, lower me deviation is indicative that the store's monthly sales are more consistent. So store B is more consistent than store A. So yung store A to ung kanyang min
17:08 deviation. Ang store B naman 1.5 'yung kanyang min deviation. So mas malaki 'yung store A kaysa sa store B. Kaya ang ibig sabihin niyan, ang store B ay more consistent po yung kanyang sales. Okay? At itong store A ay less consistent o ang ibig sabihin sabi ko po kanina ay diverse. Ibig sabihin medyo magkakalayo yung monthly sales nila o malaki pabigla-biglang malaki yung difference ng kanilang ah monthly sales. Okay, tingnan natin itong store A. So, may napansin ba kayo? Meron pong data dito na 18 and then naging 11. So
17:53 ibig sabihin hindi po siya consistent. So kapag consistent sana bababa man siya halimbawa 17 or 16 at least maliit lang. Pero kapag ganito 11 tapos may 10 pa ' ba? Sabagay sa baba may 10 din naman. Pero yung ganito 18 ibig sabihin less consistent. Okay, diverse po 'yung ating data o 'yung ating monthly sales. Samantalang po sa storbe ay halos magkakadikit 'di ba? Bababa man o lalaki man pero hindi gann kalaki 'yung ibababa o hindi ganun kalaki 'yung itataas. Okay? 14 15 so may 13 10 12 14 so medyo konti lang po yung difference. Okay?
18:39 Kaya po tinawag na more consistent. Okay. Okay. So, kapag i-drawing po natin yung normal distribution ng store A at store B, ito po yun. So, ito po yung store A, ito po yung store B. So, for example, lagay po natin yung min po nila ay pareho pong 13. Okay. Ang lowest and high score po ng store A ay 80 ah 10 at 18 at sa store B naman 10 and 16. So dito sa store B, mas compact o mas magkakadikit yung kanilang sales. Sa store A naman medyo magkakalayo. Okay. So ito another way to describe the
19:26 differences between store A and store B. Sales are fluctuating or changing widely para sa store A kasi again mas malaki yung min deviation. And for store B, sales are steady or stable. Okay. Maraming salamat sa inyong panonood mga anak. I hope na meron kayong natutunan on how to interpret the result of range and min deviation. At abangan po ninyo yung part two ang akin pong discussion about interpretation of standard deviation and variance. M.
