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Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the book and recorded their lengths. The samples are shown in the table. Do not round the numbers

Three students want to estimate the mean word length of the same book To do this each student randomly chose 4 words from the book and recorded their lengths Th class=

Respuesta :

Solution:

Given:

Mean of sample 1:

[tex]\begin{gathered} mean=\frac{8+5+4+8}{4} \\ =\frac{25}{4} \\ =6.25 \end{gathered}[/tex]

Mean of sample 2:

[tex]\begin{gathered} mean=\frac{8+6+3+9}{4} \\ =\frac{26}{4} \\ =6.5 \end{gathered}[/tex]

Mean of sample 3:

[tex]\begin{gathered} mean=\frac{6+8+6+7}{4} \\ =\frac{27}{4} \\ =6.75 \end{gathered}[/tex]

From the sample means, the range is;

[tex]\begin{gathered} Range=highest-lowest \\ Range=6.75-6.25 \\ Range=0.5 \end{gathered}[/tex]

Therefore, the range of sample means is 0.5

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