The two data sets are dependent. Find $\bar { d }$ to the nearest tenth.
$\begin{array} { c | c c c c c }
\text { A } & 69 & 66 & 61 & 63 & 51 \
\hline \text { B } & 25 & 23 & 20 & 25 & 22
\end{array}$
A) 50.7
B) 23.4
C) 48.8
D) 39.0

Question

The two data sets are dependent. Find  $\bar { d }$ to the nearest tenth.
$\begin{array} { c | c c c c c } 
\text { A } & 69 & 66 & 61 & 63 & 51 \
\hline \text { B } & 25 & 23 & 20 & 25 & 22
\end{array}$
A)  50.7 
B)  23.4 
C)  48.8 
D)  39.0

Quizplus · Accepted Answer

To find $\bar { d }$, the mean of the differences between each pair of data points from sets A and B, first calculate the differences:$$69 - 25 = 44, $$$$66 - 23 = 43, $$$$61 - 20 = 41, $$$$63 - 25 = 38, $$$$51 - 22 = 29.$$Then, find the mean of these differences:$$\frac{44 + 43 + 41 + 38 + 29}{5} = \frac{195}{5} = 39.$$So, $\bar { d }$ to the nearest tenth is 39.0.

The Two Data Sets Are Dependent dˉ\bar { d }dˉ To the Nearest Tenth

The Two Data Sets Are Dependent $\bar { d }$ To the Nearest Tenth