Question

18. The numbers below show the ages of the top 15 paid players for two different football teams:

NY Giants-32, 26. 21. 27, 26, 24, 31, 29, 32, 30, 24, 28, 31, 30, 29
NY Jets-26, 25, 28, 28, 29, 28, 32, 26, 26, 22, 28, 33, 23, 28, 32
Part A Compare the median, range and IQR for the two teams.

Answer 1

To compare the central tendency, spread, and variability of the two sets of data, we can find their median, range, and IQR.

For NY Giants:

Median: The middle value of the data set is 28.

Range: The difference between the maximum and minimum values is 11.

IQR: The difference between the first quartile (Q1) and the third quartile (Q3) is 4.

For NY Jets:

Median: The middle value of the data set is 28.

Range: The difference between the maximum and minimum values is 11.

IQR: The difference between the first quartile (Q1) and the third quartile (Q3) is 3.

Comparing the median, we can see that the two teams have the same middle value.

Comparing the range, we can see that the two teams have the same spread.

Comparing the IQR, we can see that the NY Giants have a slightly larger IQR than the NY Jets.

Therefore, we can conclude that the two teams have similar median and range, but the NY Giants have slightly greater variability in their ages.