139k views
2 votes
For the following set of data, what is the value of the upper quartile?

150, 68, 101, 99, 140, 132, 81, 129, 75

110
136
132
81

1 Answer

2 votes
we have that
150, 68, 101, 99, 140, 132, 81, 129, 75

step 1
Arrange the numbers of the data set in ascending order
68, 75, 81, 99, 101, 129, 132, 140, 150

step 2
Determine how many numbers are in the dataset
the set has 9 numbers
n=9

step 3
Set up the formula for calculating the upper quartile
the formula is
Q3=(3/4)*[n+1]
Q3=(3/4)*[9+1]-----> 30/4------> 7 1/2

find the value above and below this position in the data set, and find their mean or average
68, 75, 81, 99, 101, 129, 132, 140, 150
{132+140]/2=136

the answer is
136
User Djskinner
by
5.4k points