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![In the data set below, what are the lower quartile, the median, and the upper quartile?
{:[3,6,8,6,1]:}
lower quartile
=
median =
upper quartile
=](https://blblobstorage.blob.core.windows.net/solver-b2c/52667688-eddd-11ee-a0ff-7a97b7f985ca.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
- Arrange Data in Ascending Order: Arrange the data set in ascending order.Given data set: Arranged in ascending order:
- Find Median: Find the median of the data set.The median is the middle number in the ordered set.Since there are numbers, the median is the third number: Median
- Identify Lower Quartile Data: Identify the data set for the lower quartile.For the lower quartile, consider the first half of the data set, excluding the median if it's an odd number of data points.First half is , , Lower quartile data: ,
- Find Lower Quartile Value: Find the value of the lower quartile.The lower quartile is the median of the lower half of the data set.Since there are numbers, the lower quartile is the average of these two numbers: Lower quartile =
- Identify Upper Quartile Data: Identify the data set for the upper quartile.For the upper quartile, consider the second half of the data set, excluding the median if it's an odd number of data points.Second half is Upper quartile data:
- Find Upper Quartile Value: Find the value of the upper quartile. The upper quartile is the median of the upper half of the data set. Since there are numbers, the upper quartile is the average of these two numbers: Upper quartile =
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