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<h3>Calculation of Class Boundaries</h3>
<p align="justify">Calculation of class boundaries for three class intervals can be illustrated with the help of following figure. The figure shows two methods for calculating the class boundaries. In the first method, class boundaries are calculated by adding the upper class limit of upper class to the lower class limit of next class divided by 2.</p>
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<p><img 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" alt="" /></p>
<p> ;</p>
<p align="justify">The second method shows that in case of equal size class interval, calculate class boundaries by adding the upper class limit of upper class to the lower class limit of next class divided by 2. Now subtract upper class limit of upper class from the number obtained as shown in the figure above. The figure shows that we get 0.5 after this calculation, which can be used to obtain class boundaries by subtracting it from the lower limits of all class intervals and adding it to the upper limits of all class intervals.</p>
<p> ;</p>
<h3>Calculation of Middle Class or Mid. Class</h3>
<p align="justify">Each interval of frequency distribution is represented by the central value of the interval called the mid point of the interval. Mid. class can be calculated by adding the lower and upper class boundaries or by adding the lower and upper class limits and dividing by 2.</p>
<p align="justify">
<p><a href="http://mba-lectures.com/wp-content/uploads/2010/05/image2.png"><img style="display: inline; border-width: 0px;" title="image" src="http://mba-lectures.com/wp-content/uploads/2010/05/image_thumb2.png" alt="image" width="500" height="181" border="0" /></a>
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View Comments
this is nice too
The first way shown is:
(a) incorrect
(b) horrendously WRONG CALCULATION! It shows, for instance, (201 + 210)/2 = 411/2 = 205.5 --> and how is THAT equal to 210.5???!! MORON!!
People like you are a waste of space. American, I suppose?
@Aman, Thanks Aman for correction. Although the language used was a bit harsh but we don't mind because we believe in democracy. If you have found some other mistakes please do tell us in your own style we will never mind. Thanks again
210-211/2 =0.5 now subtract it to the lower class and add to the upper simple
mr aman i think u dint see it that way its 210+210/2=210.5..whch is abslutly crct...
The trick is that sometimes the sum of lower and upper class limit may be an even number, and when that sum is divided by two, the resulting answer will a whole number. How can the class boundaries be calculated?
How do u get the class boundaries for decimal numbers? Let say interval is 4.8 - 5.3. I've been having difficulty looking for solutions for it.
Thanks a lot in advance. :-)
Mr. Aman, if there are problems or if there is a need for correction, just tell it nicely to the one who posted it. Don't use unnecesesary words.
how to calculate upper boundary for ungroup data according to analysis of business
Good work by the person who posted it, . , Mughal got it quite nicely, . ,
What is the class mid-value of a class of 0 - 10 using the two methods above (using limits and boundaries)?