Answer:
10.89%
Explanation:
Data provided in the question:
Number of economist in the panel = 68
Unemployment Rate, % : 10.2 10.4 10.6 10.8 11.0 11.2 11.4
Economists : 2 4 7 24 14 12 5
Now,
The average unemployment rate to be next year will be calculated using weighted average as:
=
![\frac{\sum{\textup{(Number of economist}*\textup{Unemployment Rate)}}}{\textup{Total number of economist}}](https://img.qammunity.org/2020/formulas/mathematics/high-school/6ovfvkyhdo3sthixdw2qv3lkqlmrdmrmve.png)
or
=
![((2*10.2)+(4*10.4)+(7*10.6)+(24*10.8)+(14*11.0)+(12*11.2)+(5*11.4))/(68)](https://img.qammunity.org/2020/formulas/mathematics/high-school/7ycc1hk8avh4nnxtymh2rjjs34oml037a3.png)
or
=
![(20.4+41.6+74.2+259.2+154+134.4+57)/(68)](https://img.qammunity.org/2020/formulas/mathematics/high-school/t0usymxdklluq5nft64zcdycongw1jelm4.png)
or
=
![(740.8)/(68)](https://img.qammunity.org/2020/formulas/mathematics/high-school/5e9noczz4zaro6rgvwtb2eptkqzbt9tqds.png)
or
= 10.89%
Hence,
The expected average unemployment rate to be next year by the panel will be 10.89%