Based on the box plot, the correct conclusions for the data include;
a. Harvard has a smaller IQR when compared with Cornell.
b. should choose Harvard because they earn more than Cornell.
d. a higher percent from Cornell earn more.
e. harvard has the higher range.
In Mathematics and Statistics, the interquartile range (IQR) of a data set is the difference between third quartile (
) and the first quartile (
):
Interquartile range (IQR) of data set = third quartile - first quartile
Interquartile range (IQR) for Harvard = 50 - 40
Interquartile range (IQR) for Harvard = 10
Interquartile range (IQR) for Cornell = 70 - 50
Interquartile range (IQR) for Cornell = 20
Based on the box plot, the maximum values for both schools are as follows;
Maximum value for Harvard = 85.
Maximum value for Cornell = 75.
Since the median (50% of the population) for Cornell is 58, it implies that a higher percentage from Cornell earn more.
Mathematically, the range of a data set can be calculated by using this formula;
Range = Maximum value - Minimum value
Range for Harvard = 85 - 35
Range for Harvard = 50.
Range for Cornell = 75 - 45
Range for Cornell = 30.
Missing information;
Conclude the data below:
(Harvard is the top one)
(Cornell is the lowest one)
Select all that apply.
a. Harvard has a smaller IQR when compared with Cornell.
b. should choose Harvard because they earn more than Cornell.
c. should choose Cornell because it’s higher.
d. a higher percent from Cornell earn more.
e. harvard has the higher range.