The two data sets are dependent. Find $$\overline { \mathrm { d } }$$ to the nearest tenth.
-$\begin{array}{|c|cccccc|}
\mathrm{X} & 7.1 & 6.8 & 7.2 & 5.5 & 6.8 & 5.7 \
\hline \mathrm{Y} & 9.4 & 9.0 & 7.8 & 7.6 & 8.1 & 9.3
\end{array}$

A) -12.0
B) -2.6
C) -1.2
D) -2.0

Question

The two data sets are dependent. Find $$\overline { \mathrm { d } }$$ to the nearest tenth.
-$\begin{array}{|c|cccccc|}
\mathrm{X} & 7.1 & 6.8 & 7.2 & 5.5 & 6.8 & 5.7 \
\hline \mathrm{Y} & 9.4 & 9.0 & 7.8 & 7.6 & 8.1 & 9.3
\end{array}$

A) -12.0
B) -2.6
C) -1.2
D) -2.0

Quizplus · Accepted Answer

We can find $$\overline { \mathrm { d } }$$ using the formula $$\overline { \mathrm { d } }=\overline { \mathrm { Y } }-\overline { \mathrm { X } }$$. The average of the X data set is $\overline { \mathrm { X } }=6.6$ and the average of the Y data set is $\overline { \mathrm { Y } }=8.4$. Therefore, $$\overline { \mathrm { d } }=\overline { \mathrm { Y } }-\overline { \mathrm { X } }=8.4-6.6=-1.8\approx\boxed{\textbf{(D)}\, -2.0}$$.

The Two Data Sets Are Dependent d‾\overline { \mathrm { d } }d

The Two Data Sets Are Dependent $\overline { \mathrm { d } }$