Step 1 :Given the function for population is \(P(t)=1100(2)^{0.1031 t}\), where \(t\) is the number of years since 2011.
Step 2 :To find the population in 2018, we need to substitute \(t\) with the number of years from 2011 to 2018, which is 7.
Step 3 :So, we need to calculate \(P(7)=1100(2)^{0.1031 \times 7}\).
Step 4 :By calculating, we get \(P(7) = 1814.036549423391\).
Step 5 :Rounding to the nearest thousand, we get \(P(7) = 1814\).
Step 6 :Final Answer: The population of this group in 2018 is \(\boxed{1814}\) thousand.