מיקום מדדי המרכז בהתפלגויות השונות
התפלגות נורמלית
= median = mode
התפלגות אסימטרית ימנית
mode
median
התפלגות אסימטרית שמאלית
median
mode
התפלגות U
דוגמא
x1 - x2 |
f |
P |
F |
accumulated relatively frequency |
C |
f ' |
5.0-10.0 |
2.0 |
0.074074075 |
2.0 |
0.074074075 |
5.0 |
0.4 |
10.0-20.0 |
7.0 |
0.25925925 |
9.0 |
0.3333333 |
10.0 |
0.7 |
20.0-30.0 |
8.0 |
0.2962963 |
17.0 |
0.6296296 |
10.0 |
0.8 |
30.0-40.0 |
5.0 |
0.18518518 |
22.0 |
0.8148148 |
10.0 |
0.5 |
40.0-50.0 |
2.0 |
0.074074075 |
24.0 |
0.8888889 |
10.0 |
0.2 |
50.0-70.0 |
2.0 |
0.074074075 |
26.0 |
0.962963 |
20.0 |
0.1 |
70.0-90.0 |
1.0 |
0.037037037 |
27.0 |
1.0 |
20.0 |
0.05 |
sum= |
27.0 |
|
|
|
|
|
x1 - x2 |
f |
mp |
mpf |
5.0 - 10.0 |
2.0 |
7.5 |
15.0 |
10.0 - 20.0 |
7.0 |
15.0 |
105.0 |
20.0 - 30.0 |
8.0 |
25.0 |
200.0 |
30.0 - 40.0 |
5.0 |
35.0 |
175.0 |
40.0 - 50.0 |
2.0 |
45.0 |
90.0 |
50.0 - 70.0 |
2.0 |
60.0 |
120.0 |
70.0 - 90.0 |
1.0 |
80.0 |
80.0 |
----- |
----- |
----- |
----- |
Number |
=27.0 |
SUM = |
785.0 |
MEAN |
= |
785.0/27.0 |
 = |
29.074074 |
x1 - x2 |
f |
MED GROUP |
5.0 - 10.0 |
2.0 |
|
10.0 - 20.0 |
7.0 |
|
20.0 - 30.0 |
8.0 |
<= MED |
30.0 - 40.0 |
5.0 |
|
40.0 - 50.0 |
2.0 |
|
50.0 - 70.0 |
2.0 |
|
70.0 - 90.0 |
1.0 |
|
----- |
----- |
----- |
Number |
=27.0 |
MED | = |
20.0((13.5-9.0)/8.0)·10.0 |
= |
25.625 |
x1 - x2 |
f |
f ' |
MODE GROUP |
MODE CALCULATION WAY |
MODE RESULT |
5.0-10.0 |
2.0 |
0.4 |
|
|
|
10.0-20.0 |
7.0 |
0.7 |
|
|
|
20.0-30.0 |
8.0 |
0.8 |
<= MODE |
20.0 + (0.100000024/( 0.100000024+0.3))·10.0 |
=22.5 |
30.0-40.0 |
5.0 |
0.5 |
|
|
|
40.0-50.0 |
2.0 |
0.2 |
|
|
|
50.0-70.0 |
2.0 |
0.1 |
|
|
|
70.0-90.0 |
1.0 |
0.05 |
|
|
|
Number |
=27.0 |
|
|
|
|
mode
median
ולכן ההתפלגות היא התפלגות אסימטרית ימנית
|