Its good to have an objective way to asses which are the most volatile pairs. This can be done using ATR (default set-up daily ATR, 14 day period - "ATR14"). The number of pips per average daily range is not an objective way to compare volatility between different pairs, and even for a single pair, ATR can considerably vary over time.
Right now, ATR14's for the majors are -
EUR/USD = 39 pips (0.3% of price)
AUD/USD = 52 pips (0.7%)
EUR/CHF = 42 pips (0.4%)
EUR/GBP = 29 pips (0.3%)
GBP/JPY = 63 pips (0.4%)
GBP/USD = 63 pips (0.5%)
USD/CHF = 51 pips (0.6%
USD/JPY = 37 pips (0.3%)
Note that pip totals and ATR don't correlate well. Also, the ATR on EUR/USD for example was double where it is today.
By any measure EUR/USD is currently a sleepy pair, implying its very prone to intra-day failing moves, false break-outs, traps and reversals. Sure, its liquid and the spreads are the narrowest, but that could be an expensive price to pay for multiple losses and a low win rate.