Answer:
UQ = 185
Step-by-step explanation:
the median separates the data set into the lower quartile and upper quartile
The median of this data set is 151
The lower quartile is the median of the lowest five values, or 132
The upper quartile is the median of the highest five values, or 185
The upper quartile score for highest half of the score is 185.
A median is the center value of a given list of observations when arranged in an order. The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.
For the given situation,
Xavier's bowling scores: 132, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149.
Arrange this scores in the ascending order to find the median.
⇒ [tex]112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200[/tex].
There are totally 11 scores.
So the median is middle most number, that is 5th score in the list.
The median is [tex]151[/tex].
The scores after 151 are highest half scores. Now there are five scores.
Upper quartile scores list are [tex]163,172,185,190,200[/tex].
Thus, the middle most score [tex]185[/tex] is the upper quartile score.
Hence we can conclude that the upper quartile score for highest half of the score is 185.
Learn more about median here
https://brainly.com/question/23444910
#SPJ2
