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

Determine the number of blue balls in the bag, A bag contains 5 red balls a...

A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball , determine the number of blue balls in the bag.

Curve tracing, How we calculate region for curve tracing

How we calculate region for curve tracing

Show that the angles subtended at the centre , A circle touches the sides o...

A circle touches the sides of a quadrilateral ABCD at P, Q, R and S respectively. Show that the angles subtended at the centre by a pair of opposite sides are supplementary.

Explain equation, Equation s(in Tth second)=u+at-a/2 seems to be dimensiona...

Equation s(in Tth second)=u+at-a/2 seems to be dimensionally incorrect.why?

Application of interpolation and extrapolation, Application Interpolati...

Application Interpolation and extrapolation are widely used by businessmen, administrators, sociologists, economists and financial analysts. While interpolation hel

Trigonometric approximation grid, With a compass draw the arc associated wi...

With a compass draw the arc associated with a 720° angle, it looks like a circle. With a protractor, label the angle in multiples of 45° and 30° up to 720°.  Notice 30° and 390° ar

Three times the larger of the two numbers, If three times the larger of the...

If three times the larger of the two numbers is divided by the smaller, then the quotient is 4 and remainder is 5. If 6 times the smaller is divided by the larger, the quotient is

Calculus, I need help with my calculus work

I need help with my calculus work

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