Question

Express the difference in medians as a multiple of the IQR of EACH dataset.LionsSharks4HHHHHH0 1 2 3 4 5 6 7 8 9 10 11 12Runs Scored

Answer 1

Lions:

The difference in Medians = 1/2 IQR

Sharks

The difference in Medians = 2/5 IQR

1) For the Lions, we have as the difference of the medians (Q_2)

Lions: 8

Sharks: 6

So the difference of Medians is 8 -6 = 2

2) The IQR for each distribution:

Lions' IQR : 9-5=4 Q3 - Q2

Sharks' IQR = 8 -3 = 5

So we can write out that the difference of the Medians as:

Lions:

Difference of Medians = 1/2 IQR

2 = 1/2 *4

2= 2

Sharks:

Difference of Medians = 2/5 IQR

2 = 2/5 *5

2=2

3) Hence, the answer is

Lions:

The difference in Medians = 1/2 IQR

Sharks

The difference in Medians = 2/5 IQR