Question

By how many units is the interquartile range for Orlando's data set greater than the interquartile range for Victor's data set?

Victor's Data Set: {22, 29, 32, 27, 30}
Orlando's Data Set: {36, 25, 33, 27, 35}


CLEAR SUBMIT

1 unit


3 units


4 units


5 units

Answer 1

To find the interquartile range (IQR) for each data set, first, we need to find the first quartile (Q1) and the third quartile (Q3) for each data set.

For Victor's data set:
Q1 = 25th percentile = 27
Q3 = 75th percentile = 30

For Orlando's data set:
Q1 = 25th percentile = 27
Q3 = 75th percentile = 35

Now, we can find the IQR for each data set:
Victor's IQR = Q3 - Q1 = 30 - 27 = 3
Orlando's IQR = Q3 - Q1 = 35 - 27 = 8

Therefore, the interquartile range for Orlando's data set is greater than the interquartile range for Victor's data set by 8 - 3 = 5 units.

Answer: 5 units