Variance-measure of central tendency, Mathematics


Square of the standard deviation is termed as variance.

The semi inter-quartile range

- It is a measure of dispersion which includes the use of quartile. A quartile is a mark or a value that lies at the boundary of a division when any type of given set of data is divided into four equal divisions

- All of such divisions normally carry 25 percent of all the observations

- The semi inter-quartile range is a good measure of dispersion since it shows how the rest of the data are normally spread around the mean

- The quartiles generally used are three namely;

i. The lower quartile as first quartile Q1 this usually binds the lower 25 percent of the data

ii. The median as second quartile Q2

i. The upper quartile (third quartile Q3)

The semi-inter-quartile range,

SIR = (Q3 - Q1)/2       

Illustration 1

The weights of 15 parcels recorded at the GPO were given as:

16.2, 17, 20, 25(Q1) 29, 32.2, 35.8, 36.8(Q2) 40, 41, 42, 44(Q3) 49, 52, 55 (in kgs)


Find out the semi-inter-quartile range for the above data

SIR = (Q3 - Q1)/2

= (44 - 25)/2

= 19/2

 = 8.5

Posted Date: 2/18/2013 1:03:02 AM | Location : United States

Related Discussions:- Variance-measure of central tendency, Assignment Help, Ask Question on Variance-measure of central tendency, Get Answer, Expert's Help, Variance-measure of central tendency Discussions

Write discussion on Variance-measure of central tendency
Your posts are moderated
Related Questions
Prove that a reaction following the rate law v = k[A] 2 is characterized by a linear plot of [P] t 1 versus t-l, where P is the product of the stoichiometric reaction A = P. Sho

Recognizes the absolute extrema & relative extrema for the given function.                                                    f ( x ) = x 3      on        [-2, 2] Solution :

What is the ratio of the cone''s volume to the cylinder''s volume

the function g is defined as g:x 7-4x find the number k such that kf(-8)=f- 3/2

Solve following 4e 1+3 x - 9e 5-2 x  = 0 . Solution Here the first step is to get one exponential on every side & then we'll divide both sides by one of them (that doesn'

every rational nmber is expressible either as a_________or as a____________decimal.

Q. Show basic Trigonometric Functions? Ans. There are six trigonometric functions and they can be defined using a right angle triangle. We first label each side according

The math equation is written exactly this way: 0+50x1-60-60x0+10=??? The answer I get is 10 and others say 0 0+50=50 50x1=50 50-60=-10 -10-60=-70 -70x0=0 0+10=10

A circular print is being matted in a square frame. If the frame is 18 in by 18 in, and the radius of the print is 7 in, what is the area of the matting? (π = 3.14) a. 477.86 in

Karen is buying a wallpaper border for her bedroom, that is 12 ft by 13 ft If the border is sold in rolls of 5 yards each, how many rolls will she required to purchase? The dis