Answer
See below
Work Step by Step
We will transform the data set using this formula:
$$C=\frac{5}{9}(F-32)$$
The new values are:
74.5 becomes $\frac{5}{9}(74.5-32)=23.61$
81.9 becomes $\frac{5}{9}(81.9-32)=27.72$
72.5 becomes $\frac{5}{9}(72.5-32)=22.5$
73.4 becomes $\frac{5}{9}(73.4-32)=23$
78.4 becomes $\frac{5}{9}(78.4-32)=25.7$
72.6 becomes $\frac{5}{9}(72.6-32)=22.5$
76.8 becomes $\frac{5}{9}(76.8-32)=24.8$
77.6 becomes $\frac{5}{9}(77.6-32)=25.3$
72 becomes $\frac{5}{9}(72-32)=22.2$
79.2 becomes $\frac{5}{9}(79.2-32)=26.2$
76.2 becomes $\frac{5}{9}(76.2-32)=24.5$
Hence, the transformed data set is: $23.61,27.72,22.5,23,25.7,22.5,24.8,23.61,25.3,22.2,26.2,24.5$
