How does MNQ's daily range on its 20 highest-volume days compare to a typical day

et = to_et(bars)
rth = rth_session(et)
rth = rth.copy()
rth['date'] = trading_date(rth)

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

n = len(daily)
if n == 0:
    result = {"sample_size": 0, "avg_range_top20": None, "avg_range_typical": None, "ratio": None}
else:
    top_n = min(20, n)
    top20 = daily.sort_values('volume', ascending=False).head(top_n)
    avg_range_top20 = float(top20['range'].mean())
    avg_range_all = float(daily['range'].mean())
    avg_range_median = float(daily['range'].median())
    ratio = avg_range_top20 / avg_range_all if avg_range_all != 0 else None

    result = {
        "sample_size": int(top_n),
        "total_trading_days": int(n),
        "avg_range_top20_highvol_days": round(avg_range_top20, 2),
        "avg_range_typical_day_mean": round(avg_range_all, 2),
        "avg_range_typical_day_median": round(avg_range_median, 2),
        "ratio_top20_to_mean": round(ratio, 3) if ratio is not None else None,
        "avg_volume_top20": round(float(top20['volume'].mean()), 1),
        "avg_volume_all": round(float(daily['volume'].mean()), 1),
    }