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fais moi un test de Kruksal wallis pour les donn\'ees suivantes avec toutes les \'etapes: $6,231$ $6,580$ $6,408$ $5,152$ $7,885$ $5,601$ $7,678$ $5,807$ et comme moyenne $6,418$

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Interpret stem-and-leaf plots

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Q. fais moi un test de Kruksal wallis pour les donn\'ees suivantes avec toutes les \'etapes:

6,231

6,580

6,408

5,152

7,885

5,601

7,678

5,807

et comme moyenne

6,418

List Data and Mean: List the given data and the mean. $\newline$ Data: $6.231$ , $6.580$ , $6.408$ , $5.152$ , $7.885$ , $5.601$ , $7.678$ , $5.807$ $\newline$ Mean: $6.418$
Rank Data: Rank the data from smallest to largest. $\newline$ Ranked Data: $5.152$ , $5.601$ , $5.807$ , $6.231$ , $6.408$ , $6.580$ , $7.678$ , $7.885$ $\newline$ Ranks: $1$ , $2$ , $5.601$ $0$ , $5.601$ $1$ , $5.601$ $2$ , $5.601$ $3$ , $5.601$ $4$ , $5.601$ $5$
Sum Ranks: Sum the ranks for each group. $\newline$ Since there's no group specified, we'll assume all data points are from one group. $\newline$ Sum of Ranks: $1+2+3+4+5+6+7+8 = 36$
Calculate Test Statistic: Calculate the test statistic $H$ using the Kruskal-Wallis formula. $H = \left(\frac{12}{n\cdot(n+1)}\right) \cdot \left(\frac{\text{Sum of ranks}^2}{n}\right) - 3\cdot(n+1)$ Where $n$ is the number of observations.
Perform Calculation: Perform the calculation with the given data. $\newline$ $n = 8$ (number of data points) $\newline$ $H = \left(\frac{12}{8\cdot(8+1)}\right) \cdot \left(\frac{36^2}{8}\right) - 3\cdot(8+1)$ $\newline$ $H = \left(\frac{12}{72}\right) \cdot \left(\frac{1296}{8}\right) - 27$ $\newline$ $H = \left(\frac{1}{6}\right) \cdot 162 - 27$ $\newline$ $H = 27 - 27$ $\newline$ $H = 0$

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