Tom observed how many times his dog jumped whenever he met a new person. Use the data set below to determine the interquartile Range for the number of times that Toms dog jumped. 1,1,1,2,2,2,3,3,4,5,5
A. 1.5
B. 4
C. 2.5 My answer
D. 3
3 answers
Poor thing...
your answer is D
you need to know the definition of the interquartile range.
Given an even 2n or odd 2n+1 number of values
first quartile Q1 = median of the n smallest values
third quartile Q3 = median of the n largest values
The interquartile range = Q3-Q1
Your data set (1,1,1,2,2,2,3,3,4,5,5) has 11 = 2*5+1 values
The median of the bottom five is 1
The median of the top five is 4
So the interquartile range is 4-1 = 3
Given an even 2n or odd 2n+1 number of values
first quartile Q1 = median of the n smallest values
third quartile Q3 = median of the n largest values
The interquartile range = Q3-Q1
Your data set (1,1,1,2,2,2,3,3,4,5,5) has 11 = 2*5+1 values
The median of the bottom five is 1
The median of the top five is 4
So the interquartile range is 4-1 = 3