Q. In the data set below, what are the lower quartile, the median, and the upper quartile?2,3,4,6,7,8lower quartile=__median=__upper quartile=__
Arrange Data Set: Arrange the data set in ascending order and list it out.Data set: 2,3,4,6,7,8Since the data set is already in ascending order, we can proceed to find the median.
Find Median: Find the median of the data set.The data set has an even number of observations (6 numbers), so the median will be the average of the third and fourth values.Median: (4+6)/2=10/2=5
Identify Lower Quartile: 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 is not part of the data.First half is 2, 3, 4 (since we have an even number of observations, we do not include the median).
Find Lower Quartile: Find the value of the lower quartile.The lower quartile is the median of the first half of the data set.Since there are 3 numbers, the lower quartile is the second number, which is 3.Lower quartile =3
Identify Upper Quartile: 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 is not part of the data.Second half is 6,7,8.
Find Upper Quartile: Find the value of the upper quartile.The upper quartile is the median of the second half of the data set.Since there are 3 numbers, the upper quartile is the second number, which is 7.Upper quartile =7
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