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Student ma za zadanie zbudowa\u0107 szereg rozdzielczy, obliczy\u0107 \u015bredni\u0105 i odchylenie standardowe, okre\u015bli\u0107 kierunek asymetrii oraz koncentracj\u0119 rozk\u0142adu.

", "licence": "None specified"}, "statement": "

Zbuduj szereg rozdzielczy w oparciu o poni\u017cszy histogram. Wype\u0142nij tabelk\u0119.

\n

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Wype\u0142nij tabelk\u0119 na podstawie histogramu. Cz\u0119sto\u015bci zapisz jako u\u0142amki zwyk\u0142e, bez skracania (u\u017cywaj\u0105c uko\u015bnika jako kreski u\u0142amkowej, np. 1/80).

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Warto\u015b\u0107 zmiennejLiczno\u015b\u0107Liczno\u015b\u0107 skumulowanaCz\u0119sto\u015b\u0107Cz\u0119sto\u015b\u0107 skumulowana
9-11[[0]][[16]][[24]][[8]]
11-13[[1]][[17]][[25]][[9]]
13-15[[2]][[18]][[26]][[10]]
15-17[[3]][[19]][[27]][[11]]
17-19[[4]][[20]][[28]][[12]]
19-21[[5]][[21]][[29]][[13]]
21-23[[6]][[22]][[30]][[14]]
23-25[[7]][[23]][[31]][[15]]
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Oblicz \u015bredni\u0105 $\\overline{x}$ oraz odchylenie standardowe $s$, na podstawie zbudowanego szeregu rozdzielczego*. Zaokr\u0105glij ka\u017cd\u0105 z liczb do 1 miejsca po przecinku.

\n

*Wyznacz warto\u015b\u0107 \u015brodkow\u0105 $\\dot{x_i}$ dla ka\u017cdego przedzia\u0142u jako liczb\u0119 ca\u0142kowit\u0105, b\u0119d\u0105c\u0105 \u015bredni\u0105 z dolnej i górnej granicy, np. w przedziale 9-11 \u015brodek przedzia\u0142u to 10.

\n

$\\overline{x}=$[[0]]

\n

$s=$[[1]]

\n

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Wzgl\u0119dny wspó\u0142czynnik asymetrii wyniós\u0142: ${A_s}=-0,13$. Oznacza to, \u017ce rozk\u0142ad jest:

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Kurtoza wynosi $K=0,75$. Oznacza to, \u017ce rozk\u0142ad jest:

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