Question

The average age of Members of the House at the beginning of the 115th Congress was 57.8 years; of Senators, 61.8 years, among the oldest in U.S. history. Suppose the standard deviation for Members of the House was 10.2, while the standard deviation for members of the senate was 7.3 years.

a) Nancy Pelosi (speaker of the House) is 80 years old. Find the z-score of her age.

b) Mitchell McConnell (Senate Majority leader) is 78 year old. Find the z-score of his age.

c) Using the z-scores, who is older (Pelosi or McConnell) relative to the other members of the group?

Answer 1

a) Nancy Pelosi (speaker of the House) is 80 years old. the z-score of her age is:-

b) Mitchell McConnell (Senate Majority leader) is 78 year old. the z-score of his age is:-

c) Using the z-scores,

McConnell is older relative to the other members of the group.

[ higher the z score more greater the value relative to the others..the z score of MC connell is 2.22 > Pelosi = 2.18]

***in case of doubt, comment below. And if u liked the solution, please like.