解:$(1){\overline{x}}_{甲}=\frac {50+36+40+34}{4}=40($千克),
${\overline{x}}_{乙}=\frac {36+40+48+36}{4}=40($千克),
甲、乙两山的杨梅产量的总和
$=100×98\%×{\overline{x}}_{甲}+100×98\%×{\overline{x}}_{乙}$
$=40×100×98\%×2$
$=7840($千克).
$(2)S²_甲= \frac {1}{4} ×[(50-40)²+(36-40)²+(40-40)²+(34-40)²]=38(\ \mathrm {kg}²),$
$S²_乙=\frac {1}{4} ×[(36-40)²+(40-40)²+(48-40)²+(36-40)²]=24(\ \mathrm {kg}²). $
$∵S²_甲>S²_乙,$
∴ 乙山上的杨梅产量较稳定