Question

A fundamental error has occurred when constructing this histogram. what is it?

Answer 1

For constructing a histogram, first, we need a continuous dataset. If we talk about the fundamental error, it is the width length of a class interval. One an easily understood by this thing by considering an example:

Let X= 5 30 6 8 93 51 91 61 1 36 89 85 94 29 15 7 31 78 81 26

Plot histogram of this data as below:

If we consider the class interval of 20 i.e. 1-20, 21-40,...

If we take the class interval of 10 i.e. 1-10,11-20.....

From these above histograms, one can see that if we change the class interval for the given dataset, the histogram gets changed. There is no clear cut rule to determine no. of class for plotting the histogram.

So, deciding the no. of class for the given data is a fundamental error in the histogram.