How does MES's trading volume on its 20 largest-range days compare to a typical day

bars_et = to_et(bars)
rth = rth_session(bars_et)
dates = trading_date(rth)

daily = rth.groupby(dates).agg(high=('high','max'), low=('low','min'), volume=('volume','sum'))
daily['range'] = daily['high'] - daily['low']

n_days = len(daily)
if n_days == 0:
    result = {"sample_size": 0}
else:
    top20 = daily.sort_values('range', ascending=False).head(20)
    top_n = len(top20)
    avg_vol_top20 = top20['volume'].mean()
    avg_vol_all = daily['volume'].mean()
    median_vol_all = daily['volume'].median()
    ratio_to_avg = avg_vol_top20 / avg_vol_all if avg_vol_all else None
    ratio_to_median = avg_vol_top20 / median_vol_all if median_vol_all else None

    result = {
        "sample_size": int(top_n),
        "total_trading_days": int(n_days),
        "avg_volume_top20_range_days": float(avg_vol_top20),
        "avg_volume_all_days": float(avg_vol_all),
        "median_volume_all_days": float(median_vol_all),
        "ratio_top20_to_avg": float(ratio_to_avg) if ratio_to_avg is not None else None,
        "ratio_top20_to_median": float(ratio_to_median) if ratio_to_median is not None else None,
        "avg_range_top20": float(top20['range'].mean()),
        "avg_range_all_days": float(daily['range'].mean()),
    }