REPRESENTING DATA

Adaptif Hal.: 2 Isi dengan Judul Halaman Terkait a. Stem Diagram Representing data by using picture in stem or rectangle form and it is called stem diagram. It can be painted vertically or horizontally. REPRESENTING DATA

Adaptif Hal.: 3 Isi dengan Judul Halaman Terkait Example 1: This table below shows number students who have problem in a school. REPRESENTING DATA

Adaptif Hal.: 4 Isi dengan Judul Halaman Terkait Determine the number of students who have problem from 2001 to 2004! Answer: The number of students who have problem from 2001 to 2004 = = 39 students REPRESENTING DATA

Adaptif Hal.: 5 Isi dengan Judul Halaman Terkait Example 2: The stem diagram below shows the graduation of an SMK since 1992 until The total number of students who have job since 1992 until 1995 are… REPRESENTING DATA

Adaptif Hal.: 6 Isi dengan Judul Halaman Terkait REPRESENTING DATA

Adaptif Hal.: 7 Isi dengan Judul Halaman Terkait Question: The number of graduates who have job since 1992 until 1995 are… Answer: = = 1225 REPRESENTING DATA

Adaptif Hal.: 8 Isi dengan Judul Halaman Terkait b. Circle Diagram Representing data by using picture in circle form is called circle diagram. The circle area is separated in segments. REPRESENTING DATA Example 1: Next diagram shows the ways of the students in SMK go to school. If the total number of students is 480 persons, then the students who goes to school on foot is… On foot Cycling By Bus 45 0 By Motorcycle

Adaptif Hal.: 9 Isi dengan Judul Halaman Terkait Answer : The segment degree of students who goes to school on foot: – ( ) = The number of students who goes to school on foot: = x 480 students = 244 students REPRESENTING DATA

Adaptif Hal.: 10 Isi dengan Judul Halaman Terkait Example 2 : The investigation of the graduate of an SMK represented by this diagram. If the number of graduates who work is 135 persons, then the students who continue the study is……. Entrepreneur Jobless 10% Work 45% Continuing study REPRESENTING DATA

Adaptif Hal.: 11 Isi dengan Judul Halaman Terkait Answer : The percentage of graduates who continue their study = 100% - (25%+45%+10%) = 20% The number of graduates who continue study = x 135 Persons = 60 persons REPRESENTING DATA

Adaptif Hal.: 12 Isi dengan Judul Halaman Terkait REPRESENTING DATA c. Line Diagram Representing data by using line diagram and it is usually used to show the dynamics in certain period. Example : Data of Smk Nusantara graduates who work based on their field study since 2003 until 2007 as follows: Make the line diagram Year Number of students

Adaptif Hal.: 13 Isi dengan Judul Halaman Terkait REPRESENTING DATA Answer : Year Number who worksNumber who works

Adaptif Hal.: 14 Isi dengan Judul Halaman Terkait REPRESENTING DATA d. Histogram & Frequency Polygon Histogram is as representing data if the data are grouped in frequency distribution table. There are several ways to make frequency distribution table, they are: 1.Determine data range ( J ) J = datum maximum - datum minimum 2. Determine interval class ( K ) K = 1 + 3,3 log n and n = number data ; K round no. 3. Determine the length of interval class =

Adaptif Hal.: 15 Isi dengan Judul Halaman Terkait REPRESENTING DATA Example : Data Result of math test as follows: Make Histogram and its frequency Polygon ScoreFrequencyMid Score (x i ) Total ,5 49,5 57,5 65,5 73,5 81,5 89,5

Adaptif Hal.: 16 Isi dengan Judul Halaman Terkait REPRESENTING DATA From the data above, can be explained that: CClass lower limit, are 38, 46, 54, 62, 70, 78 and 86 CClass upper limit, are 45, 53, 61, 69, 77, 85 and 93 Class mid-score ( x i ) = ½ ( lower limit + upper limit ) Side class lower = lower limit - 0,5 Side class upper = upper limit + 0,5 So side class lower fro the above data, are: 37,5; 45,5; 53,5; 61,5; 69,5 77,5 and 88,5

Adaptif Hal.: 17 Isi dengan Judul Halaman Terkait REPRESENTING DATA Histogram of data is :

THE MEASURE OF CENTRAL TENDENCY Title Part

Adaptif Hal.: 19 Isi dengan Judul Halaman Terkait Central tendency measurement is a single score of data which gives clear and short illustration about where is the central data and represents all data. 1. Mean a. Single data =

Adaptif Hal.: 20 Isi dengan Judul Halaman Terkait Example : Determine mean of the data: 2,3,4,5,6 Answer = = 4

Adaptif Hal.: 21 Isi dengan Judul Halaman Terkait b. Weight Data = Example : The weight of package that has been accepted by a company for a week as in the table beside. The average weight of the packages in a week is… Weight (kg) Frequency

Adaptif Hal.: 22 Isi dengan Judul Halaman Terkait Answer: Weight (kg) Frequency Total30 = = = 6,47 So the average of package weight = 6,47 kg UKURAN PEMUSATAN DATA F. X XF

Adaptif Hal.: 23 Isi dengan Judul Halaman Terkait c. Group Data Step I: = Example : Find the mean of math test of 20 students which is represented in the table beside! ScoreFrequency Total20 UKURAN PEMUSATAN DATA x = Mid-point

Adaptif Hal.: 24 Isi dengan Judul Halaman Terkait ScoreFrequency Total20 Answer: = = 7,3 UKURAN PEMUSATAN DATA x F. x 3,5 5,5 7,5 9,

Adaptif Hal.: 25 Isi dengan Judul Halaman Terkait UKURAN PEMUSATAN DATA Step II: x o = the average is, d = x - x o Example : If the average of the table is 67, then the average score of the data is... Scorefx Total50

Adaptif Hal.: 26 Isi dengan Judul Halaman Terkait Scorefx Total50 Answer: UKURAN PEMUSATAN DATA df. d = 67 + = 67,6

Adaptif Hal.: 27 Isi dengan Judul Halaman Terkait 2. Median Median of number set is the number in the middle after they have been arranged orderly from the smallest up to the biggest one. a.Single Data b.If n is odd number Place of Me=data to-  If n is even number Me = ½ ( X n/2 + X n/2 + 1 ) UKURAN PEMUSATAN DATA

Adaptif Hal.: 28 Isi dengan Judul Halaman Terkait Answer : Data is arranged : 5,5,6,6,6,6,7,7,8,8,8,9 The number of data ( n ) = 12 ( even ) Place of Me = data to ½ ( X 6 + X 7 ) = ½ ( ) = 6,5 Example : The math score of 12 students are: 6,8,5,7,6,8,5,9,6,6,8,7. Find the median of that data! UKURAN PEMUSATAN DATA

Adaptif Hal.: 29 Isi dengan Judul Halaman Terkait b. Grouped Data Score of Me = b + p b = Side below a median class p = Length of interval class F = Number of frequency before Me class f = Frequency of median class n = Data size UKURAN PEMUSATAN DATA

Adaptif Hal.: 30 Isi dengan Judul Halaman Terkait Example : Determine median of this frequency distribution table below! ScoreFrequency UKURAN PEMUSATAN DATA

Adaptif Hal.: 31 Isi dengan Judul Halaman Terkait Answer : To determine the median class, is needed ½.n = ½ x 50 data = 25 data, it means median located in the 4rd interval class Score of Me = 54,5 + 5 = 54,5 + 0,5 = 55 UKURAN PEMUSATAN DATA

Adaptif Hal.: 32 Isi dengan Judul Halaman Terkait Mode Mode of number set is a number which often appears or the score which has the most frequency. a. Single data / weight Example : Find the mode of each number sets below: a. 5,3,5,7,5 c. 2,5,6,3,7,9,8 b. 4,3,3,4,4,7,6,8,7,7 d. 2,2,3,3,5,4,4,6,7 UKURAN PEMUSATAN DATA

Adaptif Hal.: 33 Isi dengan Judul Halaman Terkait Answer : a. Mode of the data is 5 b. Mode of data is 4 and 7 c. Mode of data is not exist d. Mode of data is 2,3,4 UKURAN PEMUSATAN DATA

Adaptif Hal.: 34 Isi dengan Judul Halaman Terkait b. Groped Data Mo = b + p b = side below of mode class p = length of interval class d 1 = the difference between mode class frequency and the previous class frequency d 2 = the difference between mode class and the next class frequency UKURAN PEMUSATAN DATA

Adaptif Hal.: 35 Isi dengan Judul Halaman Terkait Example : The weighs of 30 students of a class are represented in the table below. Mode of data is…. Weigh (kg)f UKURAN PEMUSATAN DATA

Adaptif Hal.: 36 Isi dengan Judul Halaman Terkait Answer : Mode located in the 3rd interval class, with b = 50,5; p = 5; d 1 = 6; d 2 = 4 Mode (Mo) = 50,5 + 5 = 50,5 + 3 = 53,5 UKURAN PEMUSATAN DATA

Adaptif Hal.: 37 Isi dengan Judul Halaman Terkait

Adaptif Hal.: 38 Isi dengan Judul Halaman Terkait Exercise 1. This table shows the using of tax income in the town. If the total fund that has been used for the school building about Rp ,00, then the fund for the road construction is… Property 4% School 22% Administration 16% Road PENYAJIAN DATA

Adaptif Hal.: 39 Isi dengan Judul Halaman Terkait Aswer : The fund used for the road construction is x Rp ,00 = Rp ,00 PENYAJIAN DATA

Adaptif Hal.: 40 Isi dengan Judul Halaman Terkait 2. The mean of the height table below is… Height (cm). f Total30 xdfd UKURAN PEMUSATAN DATA = = = 162,7

Adaptif Hal.: 41 Isi dengan Judul Halaman Terkait 3. The loan of cooperation as follows : The Loan (in Rp) Frequency The loan which divides grouped data into two part equally is…. UKURAN PEMUSATAN DATA

Adaptif Hal.: 42 Isi dengan Judul Halaman Terkait UKURAN PEMUSATAN DATA Answer : Median located in the 3 rd interval class, with b = 66,5 ; p = 6 ; F = 22 ; f = 10 ; n = 46 Value of Me = 66,5 + 6 = 66,5 + 0,6 = 67,1 So the loan = 67,1 x Rp 1000,00 = Rp ,00

Adaptif Hal.: 43 Isi dengan Judul Halaman Terkait 4. The total loan of member Tahu “SUMEDANG” Cooperation noted as follow : Saving account (in thousands Rp) Frequency According to the above data, the most member who have the same saving account is…. UKURAN PEMUSATAN DATA

Adaptif Hal.: 44 Isi dengan Judul Halaman Terkait UKURAN PEMUSATAN DATA Answer : Mode located in the 3 rd interval class, with b = 65,5 ; p = 3 ; d 1 = 10 ; d 2 = 5; Mode (Mo) = 65,5 + 3 = 65,5 + 2 = 67,5 So the most member of cooperation have saving account about 67,5 x Rp ,00 = Rp ,00

Adaptif Hal.: 45 Isi dengan Judul Halaman Terkait 5. If mean of this table is equal to 7, then x is…. Scoref x 4 Total28 + x f.x x x UKURAN PEMUSATAN DATA Answer : 7 = 7 ( 28 + x ) = x x = x 7x – 8x = 184 – 196 x = 12