diff --git a/sql/core/src/main/scala/org/apache/spark/sql/execution/streaming/memory.scala b/sql/core/src/main/scala/org/apache/spark/sql/execution/streaming/memory.scala
index 48d9791faf1e9..613c7ccdd226a 100644
--- a/sql/core/src/main/scala/org/apache/spark/sql/execution/streaming/memory.scala
+++ b/sql/core/src/main/scala/org/apache/spark/sql/execution/streaming/memory.scala
@@ -27,7 +27,7 @@ import org.apache.spark.internal.Logging
 import org.apache.spark.sql._
 import org.apache.spark.sql.catalyst.encoders.encoderFor
 import org.apache.spark.sql.catalyst.expressions.Attribute
-import org.apache.spark.sql.catalyst.plans.logical.LeafNode
+import org.apache.spark.sql.catalyst.plans.logical.{LeafNode, Statistics}
 import org.apache.spark.sql.streaming.OutputMode
 import org.apache.spark.sql.types.StructType
 import org.apache.spark.util.Utils
@@ -212,4 +212,8 @@ class MemorySink(val schema: StructType, outputMode: OutputMode) extends Sink wi
  */
 case class MemoryPlan(sink: MemorySink, output: Seq[Attribute]) extends LeafNode {
   def this(sink: MemorySink) = this(sink, sink.schema.toAttributes)
+
+  private val sizePerRow = sink.schema.toAttributes.map(_.dataType.defaultSize).sum
+
+  override def statistics: Statistics = Statistics(sizePerRow * sink.allData.size)
 }
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/streaming/MemorySinkSuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/streaming/MemorySinkSuite.scala
index 310d75630272b..4e9fba9dbaa1e 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/streaming/MemorySinkSuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/streaming/MemorySinkSuite.scala
@@ -187,6 +187,22 @@ class MemorySinkSuite extends StreamTest with BeforeAndAfter {
     query.stop()
   }
 
+  test("MemoryPlan statistics") {
+    implicit val schema = new StructType().add(new StructField("value", IntegerType))
+    val sink = new MemorySink(schema, InternalOutputModes.Append)
+    val plan = new MemoryPlan(sink)
+
+    // Before adding data, check output
+    checkAnswer(sink.allData, Seq.empty)
+    assert(plan.statistics.sizeInBytes === 0)
+
+    sink.addBatch(0, 1 to 3)
+    assert(plan.statistics.sizeInBytes === 12)
+
+    sink.addBatch(1, 4 to 6)
+    assert(plan.statistics.sizeInBytes === 24)
+  }
+
   ignore("stress test") {
     // Ignore the stress test as it takes several minutes to run
     (0 until 1000).foreach { _ =>