Camera LCD screens lie like politicians!
Having said that, the histogram is always content dependent. If one is shooting sports at night where the background behind the athlete is a dark sky or a theatrically staged concert where the performer is in front of a dark curtain, then the histogram *should* be heavily biased to the left.
Spending good money on a tripod is like spending good money on a UPS battery backup for your computer. It's not sexy, but it is absolutely essential!