Question

LLLL LLLLLLLL MeasuresofCenter DATA ACTIVITY 1. In 1961, New York Yankee outfielder Roger Maris held the Major League record for home runs in a single season, with 61 home runs. That record held for 37 years. Here are Maris' home run totals for his 10 years in the American League. 13 23 26 16 33 61 28 39 14 8 a. Find the mean number of home runs that Maris hit in a year. b. Remove the record year. How does that affect his mean number of runs? c. Find the median number of home runs that Maris hit in a year, both with and without his record 61. How does removing the record number of home runs affect his median number of runs? d. If you had to choose between the mean and median to describe Maris' home run hitting pattern, which would you use? Lu... .

Answer 1

in the Maris home run totals for his lo years American beague are, 8. 13, 21, 26, 16, 14, 33, 61, 28, 39, home runs will be 9.) The mean number X = 4х 13 +21+ lo of +8 n 25-9 is 25.g runs. So the mean the mean number year, b.) After removing will decrease. So, removing the record % runs ²x 13+ 21 + 26 + 16 +33+ 28 + 39 +14 + 8 22 2 q runs So mean is the with record 6I will th c.) The median number of home runs be, M = Size of item th size of 110t/ 2 NI) "item of a of (5-5) th item size

Arranging the data in ascending order, we get 8, 13, 14, 16, 21, 26, 28 33, 39, 61 So M = sth item + oth item 21+26 23.5 2 2 So the median is 23.5. Without record 61, the median will be M- size size of 5th item item (9+1) of 21 is 21. the So the median The median number of runs runs falls after removing record number of home runs.

d ) If hitting pattern, we would we had to choose between mean and median to describe Maris home run prefer median because it is the by affected presence of outliers, whereas mean is affected. not