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![In the data set below, what are the lower quartile, the median, and the upper quartile?
{:[51,88,86,15,28,33,30]:}
lower quartile =
median
=
upper quartile
=
Submit](https://blblobstorage.blob.core.windows.net/solver-b2c/c6b52fe4-eddc-11ee-b92f-1a755805aa98.png)
In the data set below, what are the lower quartile, the median, and the upper quartile?lower quartile =median upper quartile Submit
Full solution
Q. In the data set below, what are the lower quartile, the median, and the upper quartile?lower quartile =median upper quartile Submit
- Arrange Data Set: First, we need to arrange the data set in ascending order to find the quartiles and median.The given data set is: Arranged in ascending order:
- Find Median: Now, we need to find the median of the data set, which is the middle number when the data is ordered.Since there are numbers, the median is the th number.Median:
- Find Lower Quartile: Next, we find the lower quartile (), which is the median of the lower half of the data set, excluding the median of the entire data set.The lower half of the data set is: Since there are numbers, the median of this subset is the nd number.Lower quartile ():
- Find Upper Quartile: Finally, we find the upper quartile (Q), which is the median of the upper half of the data set, excluding the median of the entire data set.The upper half of the data set is: , , Since there are numbers, the median of this subset is the nd number.Upper quartile (Q):
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