Sunday, January 20, 2013

Range of Data

This page is based on range of the data. Let's understand first what is a range? Definition of Range: Interval (mathematics), also defined as a range, the range between smallest and highest. E.g. the range on 21 22 23 and 24 is 3. Range (mathematics), the set of all output values given by a function. Range (statistics), the variation between the highest and the lowest values in a set. Having problem with Learn Statistics keep reading my upcoming posts, i will try to help you.

What is Range?

In descriptive statistics, the range is calculated as the length of the least interval observation which contains all the data. It is calculated by subtracting the least observation from the maximum observation  and provides an show  of statistical dispersion.
In the given set of data ,all observations are measured in only one  units. It is a poor and weak measure of dispersion because range is entirly based on only two observation except when the sample size is large. (Example: e, d, f= range=d-e)
For a population, the range is greater than or equal to twice the standard deviation, with equality only for the coin toss (Bernoulli distribution with p=1/2).
The range, in the logic of the variance between the maximum and minimum intervals observation, is also called the crude range. When a new  scale for dimension is developed, then a potential highest or lowest will obtain from this scale. This is called the potential  range.If we cannot choose the  range too small, since we have to avoid a ceiling effect When the resultant measurement is got, it will give the observed (crude) range which may be greater or smaller. Please express your views of this topic how to multiply mixed fractions by commenting on blog.

Steps to Find Range

Interval (also known as range): The range is the distinction between the maximum and minimum values in the setof the data

Steps to find the Range:

Step1:  First order the data from smallest to greatest (ascending order).

Step2:  Subtract the smallest value from the largest value in the set.

Example 1:

The Jaeger family drove through 5 Midwestern states on their summer vacation. Gasoline prices varied from state to state. What is the range of gasoline prices?

$3, $5,$ 7, $9, $8

Solution:

Step 1: writing in ascending order: 3,5, 7,8, $9.

Step 2:  Range = 9−3= $6

Range is $6

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