Question

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

Answer 1

Given:

Mean of sample 1:

`\begin{gathered} mean=(8+5+4+8)/(4) \\ =(25)/(4) \\ =6.25 \end{gathered}`

Mean of sample 2:

`\begin{gathered} mean=(8+6+3+9)/(4) \\ =(26)/(4) \\ =6.5 \end{gathered}`

Mean of sample 3:

`\begin{gathered} mean=(6+8+6+7)/(4) \\ =(27)/(4) \\ =6.75 \end{gathered}`

From the sample means, the range is;

`\begin{gathered} Range=highest-lowest \\ Range=6.75-6.25 \\ Range=0.5 \end{gathered}`

Therefore, the range of sample means is 0.5