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Class 7 & 8 (Chapter 4 (Measures of Dispersion (Standard Deviation…

- - - - getting disperse from the basic or standard line
      - The distance between you and benchmark
      - revolving around the circle but somewhat dispersed
      - getting away from average is an indication of being dispersed
      - For Example
        
        2,4,9,15,9,0,15,6
        
        mean=7
        
        9 is not much dispersed from 7 but 0 and 15 are very much dispersed from 7
    - - how much your mean spread
      - For Example
        
        mean=7
        
        SD=2
        
        how much dispersion is possible in average
        
        how much backward and forward it can travel
        
        X=7 plus minus 2
        
        if plus then answer is 9
        
        if minus then answer is 5
        
        5 to 9
        
        dispersion of average is traveling from 5 to 9
    - - spread
    - - how much each point is away from the mean
        
        the more the points are away from mean, the more data is not good
        
        if it is near to mean then it is good
    - - 2 daughters
        
        their father assigned some responsibilities to both of them
        
        Asghari
        
        responsibility of house maintenance
        
        House cleaning
        
        Clothes washing
        
        Kitchen cleaning
        
        House maintenance affairs
        
        Akbari
        
        taking care of Grandmother (Daadi)
        
        she will take daadi to the park everyday for morning and evening walk.
        
        once a week, she will take daadi for meeting the family so that daadi can talk with family and share her thoughts and also she will be aware of the family matters in this way.
        
        1.she has the responsibility of awakening daadi and doing arrangements for her so that she easily perform 5 times Namaz and she will pray Namaz herself also.
        
        giving daadi her medication on time and oiling her feet at night
        
        both the daughters will press the clothes of their father, help him in his office work & lectures data, his room cleaning and teaching their younger brothers and sisters and they will do all of this alternatively
        
        daadi shares performance report of her granddaughters each night with her son i.e. father of Akbari and Asghari
        
        she said that during the evening time (maghrib) Asghari watches drama on t.v and does no work of the home
        
        what will the father say on this performance report of Asghari
        
        she is not much away from the mean
        
        deviation is not too much
        
        1 more item...
        
        we will also pay attention towards the importance of these different works assigned to both the daughters
        
        for example if the daadi is not given her medicine and if she gets ill because of this
        
        then this is a huge deviation from the center
        
        it is like getting far away from mean
        
        1 more item...
        
        but if daadi is not taken to park one day then its impact is not very high
        
        means deviation is less
    - - e.g 4,5,6,9,3
        
        total is 27
        
        the deviation of 4 from 5.5 is 1.5
        
        mean is (27/5)= 5.5
        
        the deviation of 5 from 5.5 is 0.5
        
        the deviation of 6 from 5.5 is -0.5
        
        the deviation of 9 from 5.5 is -2.5
        
        the deviation of 3 from 5.5 is 2.5
        
        preferences are not included in these numbers
    - - how much mean can go up and down means how much the spread of mean is dispersed
      - 12.5+3=15.5
        
        mean can go upward this much
      - 12.5-3=9.5
        
        mean can go downward this much
      - e.g mean=12.5 SD=3
      - if SD=0
        
        means data is in center
      - if SD is greater
        
        means the randomness and fluctuations in data is very high
      - small mean
        
        less deviations
        
        small SD
        
        this represents good series of data
      - cases
        
        if SD is 50% of the mean
        
        then it means data has high dispersion, deviation & data is highly disperse from center/average
        
        if mean and SD are equal i.e. mean=SD
        
        then this data is also very bad because if mean=5 & SD=5 then SD will be added & subtracted as well so it will become very high
        
        if mean is greater than 50% of the SD
        
        then this data is somehow good
        
        if mean is smaller than SD
        
        then it means there is a huge dispersion in data, very huge like 3,713,-11,800000 etc so average can be any number somehow for this data but SD will be very huge because mean will travel a lot. The traveling probability of mean will be very high. In this case, SD will be huge
      - if SD=5 & mean=10
        
        SD is 50% of mean but it has impact because it will be added and subtracted as well
      - SD=6 & mean=5
        
        data is highly dispersed, data has high fluctuations like 39,100,100000,50 etc.
    - - Nisbat
      - there is a correlation between religious prayers and good person
      - there is a correlation between good habits and good boy/girl
      - if someone offers prayer but he/she is not of good character then correlation is violated
      - school system is worse
        
        2.5 to 25 years a mother take cares of her child but that child never gives her food from his own plate
        
        but a Madrassa student gives food from his own plate to his mother
        
        2.5 to 25 years, it takes 1.5 crore or more like 2 crore
        
        this is the only generation that just knows how to take and not how to give
        
        a person on which 2.5 crore is spent just looks for a job of 15000 per month salary!
      - there is no correlation between school system & obedience
      - correlation between simplicity & good citizen
      - there is a correlation between Sunnah like marriage & good wealth
      - Pudency (Haya)
      - there is a correlation between Sunnah, morality & development of a person