A measure of location which divides the distribution in the ratio of 3:1 is:| AIPGDEE Guide

A measure of location which divides the distribution in the ratio of 3:1 is:
A. Median 
B. First quartile
C. Third Quartile
D. Mode

.  Ans. (C) Third Quartile: (Quartiles denote division of entire range of distribution into four parts of equal probability by three equidistant points. Quartile: Will have 25% observations to the left and 75% to the right. 2nd Quartile: Will have 50% observations on either side. 3rd Quartile: Will have 75% observations to the left 25% on the right.

- The division in question is 3:1. This would mean three observations stand to the left and one of the right in a range of 4 (3+1) i.e. third quartile.

- First quartile would divide the observations in a ratio of 1:3 and not 3:1.

- Median is the mid value when values are arranged either in an ascending or descending order.

- Mode is the most commonly occurring value.