Quartiles

IMPORTANT

Quartiles: Overview

In this topic, we will learn how to divide given data into four equal parts. These parts are called quartiles. It further gives some formulas to find the lower quartile and the upper quartile when n is even or odd.

Important Questions on Quartiles

HARD
IMPORTANT

Calculate the quartile deviation and its coefficient from the following data:

Class Interval 10-15 15-20 20-25 25-30 30-35
Frequency 8 12 14 10 6

 

EASY
IMPORTANT

The probable value of mean deviation when Q3=40 and Q1=15 is

EASY
IMPORTANT

Class: 0-1010-2020-3030-4040-50

Frequency: 581564

For the class 20-30, cumulative frequency is

EASY
IMPORTANT

If x and y are related as 3x+4y=20 and the quartile deviation of x is 12, then the quartile deviation of y is

EASY
IMPORTANT

The quartiles of a variable are 45,52 and 65 respectively. Its quartile deviation is

EASY
IMPORTANT

The appropriate measure of dispersion for open-end classification is

EASY
IMPORTANT

Which measure is based on only the central fifty percent of the observations?

EASY
IMPORTANT

Which measures of dispersions is not affected by the presence of extreme observations?

EASY
IMPORTANT

Which one is an absolute measure of dispersion?

EASY
IMPORTANT

Which one is easier to compute?

EASY
IMPORTANT

Dispersion measures

EASY
IMPORTANT

If there are two groups with 75 and 65 as harmonic means and containing 15 and 13 observation then the combined HM is given by

EASY
IMPORTANT

Quartiles can be determined graphically using

EASY
IMPORTANT

Quartiles are the values dividing a given set of observations into

EASY
IMPORTANT

For 333, 999, 888, 777, 1000, 321, 133
Rank of 3rd quartile is

EASY
IMPORTANT

For 333, 999, 888, 777, 666, 555, 444
Rank of 1st  quartile is

EASY
IMPORTANT

In Ogive, abscissa corresponding to ordinate 3 N/4 is

EASY
IMPORTANT

In Ogive, abscissa corresponding to ordinate N/4 is

EASY
IMPORTANT

In Ogive, abscissa corresponding to ordinate N/2 is

EASY
IMPORTANT

For grouped frequency distribution - ____ is equal to the value corresponding to cumulative frequency 3 N/4