diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/ExpressionEstimation.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/ExpressionEstimation.java
index f46533b14843686..c592cfeb0869b2b 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/ExpressionEstimation.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/ExpressionEstimation.java
@@ -580,7 +580,7 @@ public ColumnStatistic visitToDate(ToDate toDate, Statistics context) {
         ColumnStatisticBuilder columnStatisticBuilder = new ColumnStatisticBuilder(childColumnStats)
                 .setAvgSizeByte(toDate.getDataType().width())
                 .setDataSize(toDate.getDataType().width() * context.getRowCount());
-        if (childColumnStats.minOrMaxIsInf()) {
+        if (childColumnStats.isMinMaxInvalid()) {
             return columnStatisticBuilder.build();
         }
         double minValue;
@@ -611,7 +611,7 @@ public ColumnStatistic visitToDays(ToDays toDays, Statistics context) {
         ColumnStatisticBuilder columnStatisticBuilder = new ColumnStatisticBuilder(childColumnStats)
                 .setAvgSizeByte(toDays.getDataType().width())
                 .setDataSize(toDays.getDataType().width() * context.getRowCount());
-        if (childColumnStats.minOrMaxIsInf()) {
+        if (childColumnStats.isMinMaxInvalid()) {
             return columnStatisticBuilder.build();
         }
         double minValue;
diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/FilterEstimation.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/FilterEstimation.java
index 36b26d74559f90d..dd02b86c9f17b1c 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/FilterEstimation.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/stats/FilterEstimation.java
@@ -360,20 +360,14 @@ private Statistics estimateColumnToColumn(ComparisonPredicate cp, EstimationCont
         }
     }
 
-    @Override
-    public Statistics visitInPredicate(InPredicate inPredicate, EstimationContext context) {
-        Expression compareExpr = inPredicate.getCompareExpr();
-        ColumnStatistic compareExprStats = ExpressionEstimation.estimate(compareExpr, context.statistics);
-        if (compareExprStats.isUnKnown || compareExpr instanceof Function) {
-            return context.statistics.withSel(DEFAULT_IN_COEFFICIENT);
-        }
+    private ColumnStatistic updateInPredicateColumnStatistics(InPredicate inPredicate, EstimationContext context,
+            ColumnStatistic compareExprStats) {
         List<Expression> options = inPredicate.getOptions();
+        Expression compareExpr = inPredicate.getCompareExpr();
         ColumnStatisticBuilder compareExprStatsBuilder = new ColumnStatisticBuilder(compareExprStats);
-        double selectivity = 1.0;
-
-        // for string type, not use min/max to calc selectivity; other type can use them.
         DataType compareColumnType = compareExpr.getDataType();
-        if (compareColumnType.isMinMaxSensitiveType()) {
+
+        if (compareColumnType instanceof RangeScalable && !compareExprStats.isMinMaxInvalid()) {
             // init minOption and maxOption by compareExpr.max and compareExpr.min respectively,
             // and then adjust min/max by options
             double minOptionValue = compareExprStats.maxValue;
@@ -428,9 +422,6 @@ A not in (1, 2, 3, 100):
                 int newNdv = nonLiteralOptionCount + validInOptCount;
                 if (newNdv < compareExprStats.ndv) {
                     compareExprStatsBuilder.setNdv(newNdv);
-                    selectivity = StatsMathUtil.divide(newNdv, compareExprStats.ndv);
-                } else {
-                    selectivity = 1.0;
                 }
             } else {
                 maxOptionValue = Math.min(maxOptionValue, compareExprStats.maxValue);
@@ -441,25 +432,42 @@ A not in (1, 2, 3, 100):
                 compareExprStatsBuilder.setMinExpr(minOptionLiteral);
                 if (validInOptCount < compareExprStats.ndv) {
                     compareExprStatsBuilder.setNdv(validInOptCount);
-                    selectivity = StatsMathUtil.divide(validInOptCount, compareExprStats.ndv);
-                } else {
-                    selectivity = 1.0;
                 }
             }
         } else {
             // other types, such as string type, using option's size to estimate
             // min/max will not be updated
-            selectivity = Math.min(options.size() / compareExprStats.getOriginalNdv(), 1);
-            selectivity = Statistics.getValidSelectivity(selectivity);
             compareExprStatsBuilder.setNdv(Math.min(options.size(), compareExprStats.getOriginalNdv()));
         }
-
         compareExprStatsBuilder.setNumNulls(0);
+        return compareExprStatsBuilder.build();
+    }
+
+    @Override
+    public Statistics visitInPredicate(InPredicate inPredicate, EstimationContext context) {
+        Expression compareExpr = inPredicate.getCompareExpr();
+        ColumnStatistic compareExprStats = ExpressionEstimation.estimate(compareExpr, context.statistics);
+        if (compareExprStats.isUnKnown || compareExpr instanceof Function) {
+            return context.statistics.withSel(DEFAULT_IN_COEFFICIENT);
+        }
+
+        DataType compareColumnType = compareExpr.getDataType();
+        List<Expression> options = inPredicate.getOptions();
+        double selectivity;
+        ColumnStatistic newCompareExprStats = updateInPredicateColumnStatistics(inPredicate, context, compareExprStats);
+        // TODO: need to calc nonNullSelectivity
+        if (compareColumnType instanceof RangeScalable && !newCompareExprStats.isMinMaxInvalid()) {
+            selectivity = Statistics.getValidSelectivity(
+                    Math.min(StatsMathUtil.divide(newCompareExprStats.ndv, compareExprStats.ndv), 1));
+        } else {
+            selectivity = Statistics.getValidSelectivity(
+                    Math.min(options.size() / compareExprStats.getOriginalNdv(), 1));
+        }
+
         Statistics estimated = new StatisticsBuilder(context.statistics).build();
-        ColumnStatistic stats = compareExprStatsBuilder.build();
-        selectivity = getNotNullSelectivity(stats, selectivity);
+        selectivity = getNotNullSelectivity(newCompareExprStats, selectivity);
         estimated = estimated.withSel(selectivity);
-        estimated.addColumnStats(compareExpr, stats);
+        estimated.addColumnStats(compareExpr, newCompareExprStats);
         context.addKeyIfSlot(compareExpr);
         return estimated;
     }
diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/types/DataType.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/types/DataType.java
index 0062fd4a0e54cb0..0c83098bf8f1f2d 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/types/DataType.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/types/DataType.java
@@ -632,10 +632,6 @@ public boolean isObjectType() {
         return isHllType() || isBitmapType() || isQuantileStateType();
     }
 
-    public boolean isMinMaxSensitiveType() {
-        return isNumericType() || isDateLikeType() || isTimeLikeType();
-    }
-
     public DataType conversion() {
         return this;
     }
diff --git a/fe/fe-core/src/main/java/org/apache/doris/statistics/ColumnStatistic.java b/fe/fe-core/src/main/java/org/apache/doris/statistics/ColumnStatistic.java
index 9713d2d30e1453b..aebf758527ef673 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/statistics/ColumnStatistic.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/statistics/ColumnStatistic.java
@@ -356,7 +356,7 @@ public static ColumnStatistic fromJson(String statJson) {
         );
     }
 
-    public boolean minOrMaxIsInf() {
+    public boolean isMinMaxInvalid() {
         return Double.isInfinite(maxValue) || Double.isInfinite(minValue);
     }
 
diff --git a/fe/fe-core/src/main/java/org/apache/doris/statistics/StatisticRange.java b/fe/fe-core/src/main/java/org/apache/doris/statistics/StatisticRange.java
index b7639186c403e5a..7011372302135dd 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/statistics/StatisticRange.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/statistics/StatisticRange.java
@@ -196,8 +196,7 @@ public StatisticRange union(StatisticRange other) {
     private double overlappingDistinctValues(StatisticRange other) {
         double overlapDistinctValuesLeft;
         double overlapDistinctValuesRight;
-        // FIXME: what does it mean?
-        if (this.isBothInfinite() && other.isOneSideInfinite()) {
+        if (this.isInfinite() || other.isInfinite()) {
             overlapDistinctValuesRight = distinctValues * INFINITE_TO_INFINITE_RANGE_INTERSECT_OVERLAP_HEURISTIC_FACTOR;
         } else if (Math.abs(other.low - other.high) < 1e-6) {
             // other is constant
@@ -207,7 +206,7 @@ private double overlappingDistinctValues(StatisticRange other) {
             overlapDistinctValuesRight = overlapPercentOfRight * other.distinctValues;
         }
 
-        if (other.isBothInfinite() && this.isOneSideInfinite()) {
+        if (other.isInfinite() || this.isInfinite()) {
             overlapDistinctValuesLeft = distinctValues * INFINITE_TO_INFINITE_RANGE_INTERSECT_OVERLAP_HEURISTIC_FACTOR;
         } else if (Math.abs(this.low - this.high) < 1e-6) {
             overlapDistinctValuesLeft = distinctValues;