The score is heavily influenced by CPU performance since they are measuring memory operations per second (bandwidth).
Bandwidth is the amount of data that can be transmitted in a fixed amount of time.
You'd want to use some other benchmark besides WEI to get an accurate comparison.
Double check that Laptop Ram is running in dual channel mode. My laptop (i5-2410M) came with one 4 Gig Ram module and was runninging in single channel mode, WIE <6 (forgot exact score, but low). Added a 2nd stick, mode changed to dual channel and score shot up. More ram also contributes, but do not know the increase of going from 4 -> 16 Gigs.
Yhis is not likely as you have 2 modules, But woth a double check.