WEI isn't the best indicator for computer performance, especially for laptops. My netbook only scores a 2.0 (Aero Graphics) and Windows 7 absolutely flies on it, especially after upgrading the RAM to 2 GB. Even with a 2.0, Aero still works as well.
Bottom line is, unless you're noticing a considerable drop in performance from where you feel your laptop should be at, don't worry too much about the WEI score.
My Computer
At a glance
Windows 7 Professional x64 SP1Intel Core i5-2500K8 GB Corsair Vengeance Blue DDR3-1600Sapphire Radeon HD 6870 1 GB GDDR5
OS
Windows 7 Professional x64 SP1
CPU
Intel Core i5-2500K
Motherboard
Gigabyte P67X-UD3-B3
Memory
8 GB Corsair Vengeance Blue DDR3-1600
Graphics Card(s)
Sapphire Radeon HD 6870 1 GB GDDR5
Monitor(s) Displays
Samsung SyncMaster T220HD
Screen Resolution
1680x1050
Hard Drives
120 GB Corsair Force SSD + 320 GB Seagate Barracuda SATA2 + 2 TB My Book Elite
Sorry, I missed your attachment. I have to agree it is your graphics card. The overall score is the lowest rating received, it is not an average or composite.
My Computer
At a glance
Windows 10, Home Clean InstallIntel Core2 processsor Q8200(2.33Ghz 1333FSB)...6 gbATI Radeon 256MB HD3650
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There's no way to significantly increase graphics performance on a laptop, unless you have a high-end laptop with a PCI-e slot. That said 3.4 is not a bad score in my experience. Are you actually experiencing a performance issue, such as low frame rates in 3D games, or are you just bothered by the number?
My Computer
At a glance
Windows 7 x64Intel Core2 Extreme Q6850 3.00GHz8 GBRadeon R7 260X