At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
Explanation
From the statement, we have a sample with:
0. n = 6 scores,
,1. five of the scores are each above the mean by one point.
We define the mean as m.
(1) The mean is given by:
[tex]m=\frac{x_1+x_2+x_3+x_4+x_5+x_6}{n}.[/tex](2) From point 2, we know that:
[tex]x_1=x_2=x_3=x_4=x_5=m+1.[/tex](3) Replacing this data and n = 6 in the equation of point (1), we have:
[tex]m=\frac{5\cdot(m+1)+x_6}{6}.[/tex](4) Solving for x₆ the last equation, we get:
[tex]\begin{gathered} 6m=5\cdot(m+1)+x_6, \\ 6m=5m+5+x_6, \\ x_6=6m-5m-5, \\ x_6=m-5. \end{gathered}[/tex]We see that the sixth score is located 5 points under the mean.
AnswerThe sixth score is located 5 points under the mean.
Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
