MEAN DEVIATION, VARIANCE, AND STANDARD DEVIATION FOR GROUPED

DATA

Simpangan rata-rata,ragam, dan simpangan baku pada data berkelompok

by : Annisa wulandari Tri wahyu prabowo Wayan ayu asmarawati William sumarli

XI IPA 6

INDICATOR

Determine mean deviation, variance, and standard deviation from a grouped data.

Menentukan simpangan rata-rata, ragam dan simpangan baku dari data berkelompok.

Definition:Variety stated the average square of the distance of a data against the mean.Definisi :Ragam menyatakan rata-rata kuadrat jarak suatu data terhadap rataannya.

Definition:Standard deviation indicates withdrawal of the root of mean square from the distance of a data against the mean.Definisi :Simpangan baku menunjukkan penarikan akar dari rata-rata kuadrat jarak suatu data terhadap rataannya.

•Ragam (Varians)

•Simpangan Baku (Standard Deviation)

Variance and Standard Deviation for a Group Data

•Ragam (Variance)

For a variety of grouped data, the value range can be determined by the

Dengan :S2 = ragam atau variansn = banyaknya data

k = banyaknya kelas ke-i

fi = frekuensi kelas ke-ixi = data ke-i

=rataan hitung

•Standard Deviation (Simpangan Baku)

OR

Standard deviation is square-root of variance. Therefore, the standard deviation is formulated by :

Contoh Soal :

Determine the variance and standard deviation of the following data :

Skor Frekuensi

40-49 1

50-59 4

60-69 8

70-79 14

80-89 10

90-99 3

Answer:

Skor fi xi fixi

40-49 1 44,5 44,5 -29,25 855,56 855,5650-59 4 54,5 218 -19,25 370,56 1. 482,2560-69 8 64,5 516 -9,25 85,56 684,4870-79 14 74,5 1083 0,75 0,56 7,8880-89 10 84,5 845 10,75 115,56 1.155,6390-99 3 94,5 283,5 20,75 430,56 1.291,69Jumlah 40 2950 5.477,49

Thus, the variety is 136,94 and value of the standard deviation is 11,70.

SOAL nih !

Answer the question below!

1. Variety from the data above is ...A. 25,67 B. 22,89 C. 29,20 D. 26,50 E. 27,89

2. Standard deviation from those data is...A. 6,28B. 7,78C. 5,28D. 4,89E. 3,50

Yah.. Salah deh..

YEAH !! THATS RIGHT :D

SALAH TUH !!

SELAMAT ! ANDA BENAR :D

Standard deviation :

Variance :

MEAN DEVIATIONFor grouped data, mean deviation is determined by the following :

Determine the mean deviation from the following data below!

Contoh soal

Answer :

So, mean deviation of the data is 9,68.

ANSWER THIS QUESTION!

a.6,15b.5,15c.3,25d.3,15e.5,25

COMPLETELY WRONG!! :@

THAT’S RIGHT BUDDY !! XD

THANK YOU :D