In the data set below, what are the lower quartile, the median, and the upper quartile?
26283966667578
lower quartile =
median =
upper quartile =
To find the lower quartile, median, and upper quartile in the given data set (26, 28, 39, 66, 66, 67, 75, 78), we need to first arrange the numbers in ascending order:
26, 28, 39, 66, 66, 67, 75, 78
Median: The median is the middle number when the data set is ordered. In this case, the median is the average of the two middle numbers, which are 66 and 66. So, the median is (66 + 66) / 2 = 66.
Lower Quartile: The lower quartile (Q1) is the median of the lower half of the data set. In this case, the lower half of the data set is 26, 28, 39. So, the lower quartile is the average of 28 and 39. (28 + 39) / 2 = 33.5.
Upper Quartile: The upper quartile (Q3) is the median of the upper half of the data set. In this case, the upper half of the data set is 67, 75, 78. So, the upper quartile is the average of 75 and 78. (75 + 78) / 2 = 76.5.
Therefore, in the given data set, the lower quartile is 33.5, the median is 66, and the upper quartile is 76.5.