Sample standard deviation, Applied Statistics

Assignment Help:

Sample Standard Deviation

So far, we discussed the population standard deviation. Now, let us switch to sample standard deviation(s) that is analogous to the population standard deviation ( σ ). To compute sample standard deviation, the same formula given above has been used replacing  μ  with  2390_arithmetic mean.png  and N with n - 1. The modified formula is

s

= 877_sample standard deviation.png

where,

          s       =    Sample standard deviation

           2390_arithmetic mean.png      =    Sample mean

We use n - 1 as the denominator because unless n - 1 is used, the average of the sample variances of all possible samples (which are obtained by squaring standard deviations) will not be equal to the variance of the population from which the samples have been taken.


Related Discussions:- Sample standard deviation

PERCENTAGES, CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 U...

CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 UNDER THE CURRENT WITHHOLDING GUIDELINES

Using the asymptotic distribution test the hypothesis, You are interested i...

You are interested in testing the distance of two golf balls, Brand A and Brand B. You take a random sample of 100 golfers, each of whom hits Brand A once and Brand B once. Define

Test the null hypothesis, A consumer preference study involving three diffe...

A consumer preference study involving three different bottle designs (A, B, and C) for the jumbo size of a new liquid detergent was carried out using a randomized block experimenta

Prediction, Differentiate between prediction, projection and forecasting.

Differentiate between prediction, projection and forecasting.

Critique 2, prepare a critical analysis of a quantitative study focusing on...

prepare a critical analysis of a quantitative study focusing on protection of human participants data collection data management and analysis problem statement and interpretation o

Sampling theory, difference between large sample test and small sample test...

difference between large sample test and small sample test

Enumerate the set, Grid is the set of pairs {1, 2, 3, 4} x {1, 2, 3, 4}. ...

Grid is the set of pairs {1, 2, 3, 4} x {1, 2, 3, 4}. Image is the power set of Grid. An element of Image is a subset of Grid and can be represented by a diagram on a 4 by 4

Arithmetic mean, Arithmetic Mean   The process of computing Arithmetic M...

Arithmetic Mean   The process of computing Arithmetic Mean in the case of individual observations is to take the sum of the values of the variable and then divide by the number

Principal components analysis, In the context of multivariate data analysis...

In the context of multivariate data analysis, one might be faced with a large number of v&iables that are correlated with each other, eventually acting as proxy of each other. This

Median for ungrouped data, If the data set contains an odd number of items,...

If the data set contains an odd number of items, the middle item of the array is the median. If there is an even number of items, the median is the average of the two items. If the

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