At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
We are given the following data set
65 , 90, 85, 70, 70, 95, 55
The mean absolute deviation is given by
[tex]MAD=\frac{\sum|x_i-m|}{n}[/tex]Where xi is the individual values in the data set, m is the average value of the data set, and n is the number values in the data set.
The average value of the data set is given by
[tex]m=\frac{\sum x_i}{n}=\frac{65+90+85+70+70+95+55}{7}=\frac{530}{7}=75.7[/tex]So, the mean absolute deviation is
[tex]\begin{gathered} MAD=\frac{\sum|x_i-m|}{n}=\frac{|65-75.7|+|90-75.7|+|85-75.7|+|70-75.7|+|70-75.7|+|95-75.7|+|55-75.7|}{7} \\ MAD=\frac{|-10.7|+|14.3|+|9.3|+|-5.7|+|-5.7|+|19.3|+|-20.7|}{7} \\ MAD=\frac{10.7+14.3+9.3+5.7+5.7+19.3+20.7}{7} \\ MAD=\frac{85.7}{7} \\ MAD=12.24 \end{gathered}[/tex]Therefore, the mean absolute deviation for the given data set is 12.24
Option a is the correct answer.
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
