Figure Set
Posted March 6, 2008
By admin
How to figure out if a set of data is normally distributed?
the question says..Is the data given below a representative a data that is normally distributed. Give justifications for all the properties
9 7 11 12 16 16 17 18 19 19 19 19 21 21 23 24 26 30 31
can i just create a box lot to figure this out?
The answer is that there is insufficient data here to tell whether the parent population is normally distributed. A sample size of at least 30 is usually required to begin making assumptions like normally distributed.
A rough histogram would be a reasonable way of illustrating this. Just draw a number line from, say 5 to 30, and put a dot or a cross to represent each data value above the appropriate number.
It should be obvious that this is nothing like a normal distribution. Most of the points are single values (11 out of 19), there are only two values represented twice, and only one with more than two points. Furthermore, there are large gaps between some of the points.
The data bear no resemblance to a normal distribution, but that is not evidence that they do not come from a large, normally-distributed population. Without knowing something about the data, what they represent, how they were collected, it is impossible to say one way or the other. More samples, and larger sample sizes, are required before any conclusion can begin to be drawn.
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