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https://issues.apache.org/jira/browse/SPARK-18111?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=15611229#comment-15611229
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Zhenhua Wang commented on SPARK-18111:
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Yes, it says '5'. Because the samples in QuantileSummaries after the final 
merging is (1, 2, 3, 4, 5), and the rank of 0.5 percentile is quantile * count, 
i.e. 0.5 * 12 = 6. The rank is larger than its length, in which case it just 
returns the last sample.

> Wrong ApproximatePercentile answer when multiple records have the minimum 
> value
> -------------------------------------------------------------------------------
>
>                 Key: SPARK-18111
>                 URL: https://issues.apache.org/jira/browse/SPARK-18111
>             Project: Spark
>          Issue Type: Bug
>          Components: SQL
>    Affects Versions: 2.0.1
>            Reporter: Zhenhua Wang
>
> When multiple records have the minimum value, the answer of 
> ApproximatePercentile is wrong.
> Suppose we have a table with 12 records and 4 partitions, values of column 
> "col" in these partitions are:
> 1, 1, 2
> 1, 1, 3
> 1, 1, 4
> 1, 1, 5
> If we query percentile_approx(col, array(0.5)), the current answer is "5", 
> which is far from the correct answer "1".
> The test case is as below:
> {code}
>   test("percentile_approx, multiple records with the minimum value in a 
> partition") {
>     withTempView(table) {
>       spark.sparkContext.makeRDD(Seq(1, 1, 2, 1, 1, 3, 1, 1, 4, 1, 1, 5), 
> 4).toDF("col")
>         .createOrReplaceTempView(table)
>       checkAnswer(
>         spark.sql(s"SELECT percentile_approx(col, array(0.5)) FROM $table"),
>         Row(Seq(1.0D))
>       )
>     }
>   }
> {code}



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