Howdy, Stranger!

It looks like you're new here. If you want to get involved, click one of these buttons!

CFA Events Calendar

View full calendar

CFA Events Calendar

View full calendar

Recommended Discussions

See how our partners can help you ace your CFA exams.

Quartiles

pcunniffpcunniff MilwaukeePosts: 29 Associate

Can someone help me understand the explanation underlying the 60% figure? I can''t figure out how they got this from the answer key. My understanding is


What are the median and the third quintile of the following data points, respectively?

9.2%, 10.1%, 11.5%, 11.9%, 12.2%, 12.8%, 13.1%, 13.6%, 13.9%, 14.2%, 14.8%, 14.9%, 15.4%


A)

13.1%; 13.7%.


B)

13.1%; 13.6%.


C)

12.8%; 13.6%.


Explanation

The median is the midpoint of the data points. In this case there are 13 data points and the midpoint is the 7th term.

The formula for determining quantiles is: Ly = (n + 1)(y) / (100). Here, we are looking for the third quintile (60% of the observations lie below) and the formula is: (14)(60) / (100) = 8.4. The third quintile falls between 13.6% and 13.9%, the 8th and 9th numbers from the left. Since L is not a whole number, we interpolate as: 0.136 + (0.40)(0.139 – 0.136) = 0.1372, or 13.7%.

Comments

Sign In or Register to comment.