PILNE PILNE
1]
4 osoby -0 h 4×0=0
6 osób- 1 h 6×1=6
6 osób-2h 6×2=12
1 osoba-4 h 1×4=4
2 osoby-5 h 2×5=10
1 osoba-7 h 1×7=7
...................................
razem=20 osób =39h
Dominanta= 1 i 2
mediana=(1+2):2=1,5h
średnia arytm x=39/20=1,95h=1 h 57 minut
Ck X k X k - x (X k-x)² C k( Xk-x)²
.......................................................................
4 0 -1,95 3,8025 15,21
6 1 -0,95 0,9025 5,415
6 2 0,05 0,0025 0,015
1 4 2,05 4,2025 4,2025
2 5 3,05 9,3025 18,605
1 7 5,05 25,5025 25,5025
.........................................................................
68,95
odchylenie ∑=√(68,95/20)≈1,85674444
2]
3;3;5;5;5;7;7;7;9
średnia arytm x=(3+3+5+5+54+_7+7+7+9);9=51/9=5⅔
mediana=5
dominanta=5 i 7
(3-5⅔)²=⁶⁴/₉
(5-5⅔)²=⁴/₉
(7-5⅔)²=¹⁶/₉
(9-5⅔)²=¹⁰⁰/₉
......................
=²⁸⁸/₉=32
∑=√(32/9)=4√2/3
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1]
4 osoby -0 h 4×0=0
6 osób- 1 h 6×1=6
6 osób-2h 6×2=12
1 osoba-4 h 1×4=4
2 osoby-5 h 2×5=10
1 osoba-7 h 1×7=7
...................................
razem=20 osób =39h
Dominanta= 1 i 2
mediana=(1+2):2=1,5h
średnia arytm x=39/20=1,95h=1 h 57 minut
Ck X k X k - x (X k-x)² C k( Xk-x)²
.......................................................................
4 0 -1,95 3,8025 15,21
6 1 -0,95 0,9025 5,415
6 2 0,05 0,0025 0,015
1 4 2,05 4,2025 4,2025
2 5 3,05 9,3025 18,605
1 7 5,05 25,5025 25,5025
.........................................................................
68,95
odchylenie ∑=√(68,95/20)≈1,85674444
2]
3;3;5;5;5;7;7;7;9
średnia arytm x=(3+3+5+5+54+_7+7+7+9);9=51/9=5⅔
mediana=5
dominanta=5 i 7
(3-5⅔)²=⁶⁴/₉
(3-5⅔)²=⁶⁴/₉
(5-5⅔)²=⁴/₉
(5-5⅔)²=⁴/₉
(5-5⅔)²=⁴/₉
(7-5⅔)²=¹⁶/₉
(7-5⅔)²=¹⁶/₉
(7-5⅔)²=¹⁶/₉
(9-5⅔)²=¹⁰⁰/₉
......................
=²⁸⁸/₉=32
∑=√(32/9)=4√2/3