Mean and standard deviation, Mathematics

Assignment Help:

Q. Mean and Standard Deviation?

Ans.

The normal distribution is totally described if we know the average and standard deviation.

1011_Mean and Standard Deviation.gif - the population mean of the distribution. Remember: this occurs at the peak of the distribution

1642_Mean and Standard Deviation1.gif- the population standard deviation of the distribution

1282_Mean and Standard Deviation2.gif

 

Properties of Normal Distributions

The curve is symmetric about the mean, .
The total area under the curve is 1.
The mean, median and mode are equal.
About 68% of the area is within 1 standard deviation ( ) of the mean.
About 95% of the area is within 2 standard deviations ( ) of the mean.
About 99.8% of the area is within 3 standard deviations ( ) of the mean.

966_Mean and Standard Deviation3.gif


Related Discussions:- Mean and standard deviation

Shortcomng methods for teaching hto in maths, 1.What are the strengths and ...

1.What are the strengths and shortcomings of the methods of teaching H T 0 in Examples 1 and 2? 2. a) Think of another activity for getting children to practise H T 0, especia

Additional rule- rules of probability, Additional Rule- Rules of Probabilit...

Additional Rule- Rules of Probability Additional rule is used to calculate the probability of two or more mutually exclusive events. In such circumstances the probability of t

Engg maths, How to get assignment to solve and earn money

How to get assignment to solve and earn money

Eliminate the parameter from the set of parametric equations, Eliminate the...

Eliminate the parameter from the subsequent set of parametric equations. X = t 2 + t Y = 2t - 1 Solution: One of the very easy ways to eliminate the parameter is to

Find the exact points and factorise , Consider the function f(x) = x 2 - 2...

Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-

Setup the mass balance equation - linear system method, Two tanks initially...

Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w

Normal Distribution, You don''t have to give me the answer. I just want to ...

You don''t have to give me the answer. I just want to know HOW to do it. In a set of 400 ACT scores where the mean is 22 and the standard deviation is 4.5, how many scores are ex

Proof of various derivative facts formulas properties, PROOF OF VARIOUS DER...

PROOF OF VARIOUS DERIVATIVE FACTS/FORMULAS/PROPERTIES Under this section we are going to prove several of the different derivative facts, formulas or/and properties which we en

Speaking mathematically-how do children learn?, Speaking Mathematically :  ...

Speaking Mathematically :  A Class 2 teacher was explaining the concept of place value to his students, using the number eleven. He started by saying "One and one make eleven." So

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd