Math PPP#1

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Author:
anllelhoney
ID:
297084
Filename:
Math PPP#1
Updated:
2015-02-28 18:28:49
Tags:
ch1 ppp1 frequency
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Description:
Frequency, mean , Standard Deviation,
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  1. Construct a Frequency
    • *Input Data
    • *Order from lowest,highest 
    •    ( AZ⇩, Ascending) 
    • *Make table
    • classes             |frequency
    • ------------------|----------
    • min-1st class # |#of times the #s appears on 
    •                        | data sheet within class
    • *make 4,5 classes
    • *=countif(HighlighDataSet,1range location)
  2. Identified This Frequency?

    Classes |Frequency
    ---------|-----------
    0-20     |69
    20-40   |78
    40-60   |83
    60-80   |69
    80-100 |78
    100-120|1
    -------------------
                  378
                 GROUPED FREQUENCY TABLE
  3. In order to create a 

    Cumulative Frequency (CF)
    Relative Frequency (RF)

    You need to make ______first.
    A Frequency Table

    • X      | Frequency
    • ------|------------
    • 1      |55
    • 2      |51
    • 3      |48
    • 4      |70

    Data___Frequency___CF,RF
  4. Make a Cumulative Frequency Table
    • *Make a group frequency table
    • *Add the frequencies
    • class|Freq.            Class           |CF
    • -----  |------               ---------- |------
    • 0-20  |69              less than 20 |69   (69+78=)
    • 20-40|78              less than 40 |147(147+78=)
    • 40-60|83              less than60  |230(continue..)
  5. Make a Relative Frequency Table
    • *Make Frequency Table
    • *Sum of all Frequency
    • *÷ each freq. by total freq.
    • classes|Freq.      Classes|RF
    • --------|-----      -------- |---------
    • 0-20    |69         0-20    |0.183  (=69÷378)
    • 20-40  |78         20-40  |0.206 (=78÷378)
    • ⇊-- ⇊   |⇊           ⇊--⇊   | ⇊
    • --------------      -----------------------
    •             378                     
    • **to check if RF is correct
    •      all % number must =1
  6. Frequency Polygon Graph
    • ** Need Midpoints
    • *add classes ÷ 2

    • classes    |Frequency      X   | F
    • -----------|---------       ------|-------
    • 0-30        |28               15    |28
    • 30-60      |81                45   |81

    •  0+30             30+60
    • -------=15      ---------=45
    •     2                    2
  7. Stem and Leaf Plots
    • *Input Data
    • *Arrange from lowest to highest
    •   (AZ⇩, ascending )

    • *Arrange data according to Stem
    • *Use Stem as rows
    • *Use right outmost digit as leaf
    •    
    • Ex: 56, 57,67,68,69,75
    •   5 |6   7  
    •   6 |7   8   9 
    •   7 |5
  8.                   Mean 
    •              sum of all data
    •    μ  =   ------------------
    •              # of data
    • -highlight, enter
    • -average(Initial cell: Final cell)
  9.              Standard Deviation 
    • σ 
    • -highlight data
    • -=STDEV(initial cell:Final cell)
    • -Enter
  10.      Range usual values
    • *min usual value
    •     =mean - 2*(STDEV)

    • *max usual value
    •     =mean + 2*(STDEV)
  11.                     Quartile Summary
    • 𝑄1st= Quartile 1: Separates the bottom25% of data from the top 75%.
    • It is the median of the bottom half of the data set.

    𝑄2 (median): Separates the bottom 50% of the data set from the top 50%.

    𝑄3 (3rd Quartile): Separates the bottom 75% of data from the top 25%.


  12.                        5# Summary
    *Min: lowest # in data set

    • *Q1: Median of 1st half of data set
    •          Highlight 1st half of date set
    •          =Quartile(___,1)
    • *Median: half of all data set
    •     (if two #s are in the middle: add÷ by 2)
    •           Highlight data
    •           =average(Initial cell, Last cell) 
    • *Q3: median of second half of date set
    •          fallow sets for Q1
    •         for left side of date set only
    • *Max: Highest # in date set
  13.                   Find Outliers
    • * Find IQR
    •    Q3-Q1=IQR

    • * Find right outlier
    •    Q1-2(IQR)

    • * Find left outlier
    •    Q3+2(IQR)
  14.                       Z Score
    • Data value - mean
    •            Z= -----------------------
    •                   Standard Deviation

    Data value: corresponding# to the zcore
  15.   Empirical Rule
    * Use  Z score equation

    • * Z score identifies the position your
    •    % falls with in the empirical rule

    • 68%:1 standard deviation away from the mean
    • 95%:2 standard deviation away from the mean
    • 99.7%:3 standard deviation away from the                   mean
  16.      Range usual / unusual values
    formula:   μ  2σ

             mean  2 standard deviation
  17.                   Percentiles

    Find percentile for 30?
    • Ex: Find percentile for 30?
    •      given date set......

    1: sort data (AZ⇩, ascending)

    • 2: see how many #are before the given #
    •        (ex: 30 )

    • 3:     
    •            #of values below x + 0.5
    •     P =-------------------------------- * 100
    •           total #of values in data set
  18.                         Percentile

    To find what # falls in position X
    • To find   
    •      given date set......

    1: sort date set (AZ⇩, ascending)

    • 2: 
    •                #bellow value + 0.5
    •        = ------------------------- * 100
    •                   n (total date set #)
    •  
    • N= total # of date set
  19. Find the mean and standard deviation 
            of the fallowing frequency table?
    x   | f
    --------
    1   |12 
    2   |8  
         |
    • *given frequency        * Calculate
    •          x   | f          x   | f  | x(f)        | (f) |
    •        -----------     ------------------------------
    •          1   |12       1    |12 |  |
    •          2   |8         2    |8   |   |                  ----       --------------------------------
    •        total:20              20  |   = 28    |    = 44

    • *calculate 
    •   n= f    x*f   *f
  20. How does a Histogram graph look like?
  21. Make an frequency OGIVE graph?
    • *make cumulative frequency table
    • *find upper class limits
    •    add frequencies to one and other
    • *graph

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