Question

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 A Find the median, range and IQR for the two teams. Also, find the mean absolute deviation for each data set. Lastly, which team has a greater variation? Explain.

Answer 1

mad for ny giants is 2.6

mad for ny jets is  2.34

the nj giants has a greater variation

to get the mad you subtract each number from the mean. After you get all of those numbers, add them and divide by 15 since there are 15 numbers.

the larger the MAD, the greater variability there is in the data (the data is more spread out). The MAD helps determine whether the set's mean is a useful indicator of the values within the set. The larger the MAD, the less relevant is the mean as an indicator of the values within the set.

**Giants has a higher variation since all of the numbers added up and averaged is a larger number

larger numbers means more variation