Statistical Analysis of a Number Set
In the image, you're provided with a set of numbers: 2, 6, 6, 7, 9.
To find the lower quartile, median, and upper quartile of these numbers, we need to follow some statistical steps.
The median (also called the second quartile) is the middle number when the numbers are ordered from lowest to highest. Here, the numbers are already sorted, so the median is the middle number in the set.
Median = the third number in the list = 6.
The lower quartile (also called the first quartile) is the median of the lower half of the data set (not including the median if the number of observations is odd). In this case, the lower half of the data set is 2 and 6.
Lower quartile = the median of the lower half = (2 + 6) / 2 = 8 / 2 = 4.
The upper quartile (also called the third quartile) is the median of the upper half of the data set (again, not including the median if the number of observations is odd). The upper half of the set here is 7 and 9.
Upper quartile = the median of the upper half = (7 + 9) / 2 = 16 / 2 = 8.
So, for the given set of numbers, the lower quartile is 4, the median is 6, and the upper quartile is 8.
