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STATISTICS

A. Some Of Statistical Term
B. Representing Data
C. Histogram, Polygon, and Ogive
A. Some of Statistical Term
Datum : any single information gathered from a research.

Data : a set of datum.

Population : a set of entire object that addressed in our research.

Sample : a part of population.

Quantitative : data is in numerical form.

Qualitative : data is not in numerical form.
B. Representing Data
1. Representing data in a form of diagram
   a. Stem diagram
   b. Line diagram
   c. Circle diagram

2. Representing data in a form of table
   a. List of frequency distribution
     1) Single data
     2) Grouped data
     3) Process of constructing a frequency table
   b. List of cumulative frequency distribution
1. Representing data in a form of diagram
a. Stem diagram
b. Line diagram
c. Circle diagram
2. Representing data in a form of table
   a. List of frequency distribution
      1) Single data
2) Grouped data
3) Process of constructing a frequency table
 Time magazine collected information on all 464 people
 who died from gunfire in the Philippines during one
 week. Here are the ages of 50 men randomly selected
 from that population.
 Construct a frequency distribution table!
     19 18 30 40 41 33 73 25 27 37
     23 25 21 33 65 17 20 76 23 71
     47 69 20 31 18 24 35 24 25 25
     17 36 65 70 22 25 65 16 75 23
     24 29 42 37 26 46 27 63 27 21
From the data, we have :
   n = 30
Xmax = 76
Xmin = 16



Step 1 : range (J)

J = Xmax – Xmin
  = 76 – 16
  = 60
Step 2 : number of classes (k)

k = 1 + 3.3 log n
  = 1 + 3.3 log 50
  = 1 + 3.3 (1.69)
  = 1 + 5.57
  = 6.57
  =7
Step 3 : length of class (c)

c= J
   k
 = 60
   7
 = 8.57
 = 9
Step 4 : make the list of frequency distribution


    Data               Tally          Frequency

   16 – 24     /////-/////-/////-//       17
   25 – 33     /////-/////-////           14
   34 – 42     /////-//                    7
   43 – 51     //                          2
   52 – 60                                 0
   61 – 69     /////                       5
   70 – 78     /////                       5
b. List of cumulative frequency distribution

                                        Cumulative Frequency
  Data         fi      tb        ta
                                        fk ≥ t b    fk ≤ t a

 16 – 24      17      15.5     24.5       50          17
 25 – 33      14      24.5     33.5       33          31
 34 – 42       7      33.5     42.5       19          38
 43 – 51       2      42.5     51.5       12          40
 52 – 60       0      51.5     60.5       10          40
 61 – 69       5      60.5     69.5       10          45
 70 – 78       5      69.5     78.5        5          50
C. Histogram, Polygon, and Ogive
THANK YOU

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Matematika - Statistics

  • 1.
  • 2. STATISTICS A. Some Of Statistical Term B. Representing Data C. Histogram, Polygon, and Ogive
  • 3. A. Some of Statistical Term Datum : any single information gathered from a research. Data : a set of datum. Population : a set of entire object that addressed in our research. Sample : a part of population. Quantitative : data is in numerical form. Qualitative : data is not in numerical form.
  • 4. B. Representing Data 1. Representing data in a form of diagram a. Stem diagram b. Line diagram c. Circle diagram 2. Representing data in a form of table a. List of frequency distribution 1) Single data 2) Grouped data 3) Process of constructing a frequency table b. List of cumulative frequency distribution
  • 5. 1. Representing data in a form of diagram a. Stem diagram
  • 8. 2. Representing data in a form of table a. List of frequency distribution 1) Single data
  • 10. 3) Process of constructing a frequency table Time magazine collected information on all 464 people who died from gunfire in the Philippines during one week. Here are the ages of 50 men randomly selected from that population. Construct a frequency distribution table! 19 18 30 40 41 33 73 25 27 37 23 25 21 33 65 17 20 76 23 71 47 69 20 31 18 24 35 24 25 25 17 36 65 70 22 25 65 16 75 23 24 29 42 37 26 46 27 63 27 21
  • 11. From the data, we have : n = 30 Xmax = 76 Xmin = 16 Step 1 : range (J) J = Xmax – Xmin = 76 – 16 = 60
  • 12. Step 2 : number of classes (k) k = 1 + 3.3 log n = 1 + 3.3 log 50 = 1 + 3.3 (1.69) = 1 + 5.57 = 6.57 =7
  • 13. Step 3 : length of class (c) c= J k = 60 7 = 8.57 = 9
  • 14. Step 4 : make the list of frequency distribution Data Tally Frequency 16 – 24 /////-/////-/////-// 17 25 – 33 /////-/////-//// 14 34 – 42 /////-// 7 43 – 51 // 2 52 – 60 0 61 – 69 ///// 5 70 – 78 ///// 5
  • 15. b. List of cumulative frequency distribution Cumulative Frequency Data fi tb ta fk ≥ t b fk ≤ t a 16 – 24 17 15.5 24.5 50 17 25 – 33 14 24.5 33.5 33 31 34 – 42 7 33.5 42.5 19 38 43 – 51 2 42.5 51.5 12 40 52 – 60 0 51.5 60.5 10 40 61 – 69 5 60.5 69.5 10 45 70 – 78 5 69.5 78.5 5 50
  • 17.
  • 18.