BROAD CLASSIFICATION OF STATISTICS Descriptive Statistics

1. BROAD CLASSIFICATION OF STATISTICS
Descriptive Statistics
Measures of Central Tendency
• Mean
• Median
• Mode
DR K.SENTHILKUMAR
ASSISTANT PROFESSOR
GOVERNMENT COLLEGE OF EDUCATION
ORATHANAD, THANJAVUR
TAMILNADU, INDIA.
9445450204

2. n
f
• Mean
•Median
• Mode = 3( Medain ) – 2(Mean)

3. Measures of Dispersion
Standard deviation

4. T – test formula

5. Inferential Statistics
Chi Square Test

6. F TEST (ANOVA)

9. CI X F fx
25 - 29 27 1 27
30 - 34 32 2 64
35 - 39 37 4 148
40 - 44 42 8 336
45 - 49 47 11 517
50 - 54 52 9 468
55 - 59 57 7 399
60 - 64 62 4 248
65 - 69 67 3 201
70 - 74 72 1 72
50 2480 49.6
MEAN

10. n
f

fx = 2480
N = 50
fx = 2480/50
=49.6

11. CI X F X' fd
25 - 29 27 1 -4 -4
30 - 34 32 2 -3 -6
35 - 39 37 4 -2 -8
40 - 44 42 8 -1 -8 26
45 - 49 47 11 0 0
50 - 54 52 9 1 9
55 - 59 57 7 2 14
60 - 64 62 4 3 12
65 - 69 67 3 4 12
70 - 74 72 1 5 5 52
26
mean

12. CI F cf
25 - 29 1 1
30 - 34 2 3
35 - 39 4 7
40 - 44 8 15
45 - 49 11 26
50 - 54 9 35
55 - 59 7 42
60 - 64 4 46
65 - 69 3 49
70 - 74 1 50
MEDAIN

13. L = 44.5
N/2 = 50/2
= 25
CF = 15
F = 11
I = 5
M = 44.5 +(25 – 15/11) 5
=44.5 +(10/11)5
=44.5 + 50/11
=44.5 + 4.55
=49.05

14. • Mode = 3( Medain ) – 2(Mean)
=3(49.05) – 2 (49.6)
=148 .5 – 99.2
=49.3

15. CI X F X'=X - M FX FX'
25 - 29 27 1 -22.6 27 -22.6 22.6
30 - 34 32 2 -17.6 64 -35.2 35.2
35 - 39 37 4 -12.6 148 -50.4 50.4
40 - 44 42 8 -7.6 336 -60.8 60.8
45 - 49 47 11 -2.6 517 -28.6 28.6
50 - 54 52 9 2.4 468 21.6 21.6
55 - 59 57 7 7.4 399 51.8 51.8
60 - 64 62 4 12.4 248 49.6 49.6
65 - 69 67 3 17.4 201 52.2 52.2
70 - 74 72 1 22.4 72 22.4 22.4
395.2
AVERAGE DEVIATION

16. CI X F X' fx' fx''
25 - 29 27 1 -4 -4 16
30 - 34 32 2 -3 -6 18
35 - 39 37 4 -2 -8 16
40 - 44 42 8 -1 -8 8
45 - 49 47 11 0 0 0
50 - 54 52 9 1 9 9
55 - 59 57 7 2 14 28
60 - 64 62 4 3 12 36
65 - 69 67 3 4 12 48
70 - 74 72 1 5 5 25
26 204
STANDARD DEVIATION

17. ∑fx’’= 204
∑fx = 26
∑f = 50 = 5* 204/50 – 26 *26 /50
= 5*4.08 – 676/2500
= 5*4.08 – 0.270
= 5* 3.81
= 5*1.95
= 9.75

18. t = test
MEAN S.D
HIGHT 46.675 4.47
FLOWER 32.547 7.64

20. fo 18 16 8 42/3 =14
fe 14 14 14
fo-fe 4 2 -6
(fo-fe)2 16 4 36
fo-fe/fe 16/14 4/14. 4/36.
1.143 0.286 2.57 3.142

21. F TEST (ANOVA)

22. x1 x2 x3 xx1 xx2 xx3
32 29 31 1024 841 961
24 27 38 576 729 1444
41 34 29 1681 1156 841
19 39 42 361 1521 1764
35 18 45 1225 324 2025
46 42 34 2116 1764 1156
28 44 38 784 1936 1444
27 31 31 729 961 961
37 29 34 1369 841 1156
13 21 28 169 441 784
302 314 350 10034 10514 12536
F - ANOVA