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![In the data set below, what are the lower quartile, the median, and the upper quartile?
{:[56,19,56,69,78,56,47]:}
lower quartile
=
median
=56
upper quartile
=](https://blblobstorage.blob.core.windows.net/solver-b2c/fdde5f82-eddb-11ee-9ceb-667af2bd5b85.png)
In the data set below, what are the lower quartile, the median, and the upper quartile?lower quartile median upper quartile
Full solution
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?lower quartile median upper quartile
- Sort Data Set: First, we need to sort the data set in ascending order to find the quartiles and median.The given data set is: Sorted data set:
- Find Median: Now, we need to find the median of the sorted data set. Since there are numbers, the median is the middle number, which is the fourth number in the sorted list. Median:
- Find Lower Quartile: Next, we need to find the lower quartile (), which is the median of the lower half of the data set, excluding the median of the entire data set if it's part of the data.The lower half of the data set is Since there are numbers, the median of this lower half is the second number.Lower quartile ():
- Find Upper Quartile: Finally, we need to find the upper quartile (), which is the median of the upper half of the data set, excluding the median of the entire data set if it's part of the data.The upper half of the data set is \{:[, , ]:\}Since there are numbers, the median of this upper half is the second number.Upper quartile ():
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