# Math PPP#1

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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
• 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

• 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
 Author: anllelhoney ID: 297084 Card Set: Math PPP#1 Updated: 2015-02-28 23:28:49 Tags: ch1 ppp1 frequency Folders: Description: Frequency, mean , Standard Deviation, Show Answers: