1. 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

2. INDICATOR
 Determine mean deviation, variance,
and standard deviation from a grouped
data.
 Menentukan simpangan rata-rata,
ragam dan simpangan baku dari data
berkelompok.

3. 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)

4. 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 varians
n = banyaknya data
k = banyaknya kelas ke-i
fi = frekuensi kelas ke-i
xi = data ke-i
=rataan hitung

5. •Standard Deviation (Simpangan Baku)
OR
Standard deviation is square-root of variance. Therefore,
the standard deviation is formulated by :

6. 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

7. Answer:
Skor fi xi fixi
40-49 1 44,5 44,5 -29,25 855,56 855,56
50-59 4 54,5 218 -19,25 370,56 1. 482,25
60-69 8 64,5 516 -9,25 85,56 684,48
70-79 14 74,5 1083 0,75 0,56 7,88
80-89 10 84,5 845 10,75 115,56 1.155,63
90-99 3 94,5 283,5 20,75 430,56 1.291,69
Jumlah 40 2950 5.477,49
Thus, the variety is 136,94
and value of the standard
deviation is 11,70.

8. 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. 6,28
B. 7,78
C. 5,28
D. 4,89
E. 3,50

9. Yah.. Salah deh..

10. YEAH !! THATS RIGHT :D

11. SALAH TUH !!

13. Standard deviation :Variance :

14. MEAN DEVIATION
For grouped data, mean deviation is determined by the
following :

15.  Determine the mean
deviation from the following
data below!
Contoh
soal

16. Answer :
So, mean deviation
of the data is 9,68.

17. ANSWER THIS QUESTION!
a.6,15
b.5,15
c.3,25
d.3,15
e.5,25

18. COMPLETELY
WRONG!! :@

19. THAT’S RIGHT BUDDY !! XD

21. THANK YOU :D