Question

Compute the Diff value for the following experiment. Group A: 12kg 14kg 20kg 18kg 15kgGroup B: 13kg 10kg 15kg 9kg 14kg

Answer 1

We have the following:

Group A:

`\begin{gathered} \bar{x}=(12+14+20+18+15)/(5)=(79)/(5) \\ \bar{x}=15.8 \end{gathered}`

Group B:

`\begin{gathered} \bar{x}=(13+10+15+9+14)/(5)=(61)/(5) \\ \bar{x}=12.2 \end{gathered}`

now, the diff value:

`d=(|x_1-x_2|)/((x_1+x_2)/(2))\cdot100_{}`

x1 = 15.8

x2 = 12.2

replacing:

`\begin{gathered} d=\frac{|15.8-12.2_{}|}{\frac{15.8_{}+12.2_{}}{2}}\cdot100_{} \\ d=(3.6)/((28)/(2))\cdot100 \\ d=(3.6)/(14)\cdot100 \\ d=0.2571\cdot100 \\ d=25.71 \end{gathered}`

Therefore, the answer is 25.71%