With the help of the proper formulas I have constracted a frequency distribution with classes. .
This can be is found in the appendix.
I.Analysis of Frequency Distribution with Classes.
The whole table I created in Excel can be found in the appendix. I only take segments of it during the analysis. .
I.1. Frequency distribution:.
The frequency of a class represents the number of values in the data set that fall within that class. So there are 6 rental fees that are between $635- $777, 16 between $778- $920 and so on. The total sum has to be equal to the number of elements of course. .
The rents near Georgetown University are considered as quantitative data and now I am going to analyze the sample as a continuous data set and later compare it to the discrete data set results. To my opinion there will be differences between the results .
I.2. Relative frequency distribution:.
.
It is obtained by dividing the frequency of that category by the sum of all frequencies. It actually shows the proportion of the frequency of a certain class to the total sum. .
Classes Frequency (f) Lower limits Upper limits g.
1 635-777 6 635 777 0,06.
2 778-920 16 778 920 0,16.
3 921-1063 17 921 1063 0,17.
4 1064-1206 23 1064 1206 0,23.
5 1207-1349 17 1207 1349 0,17.
6 1350-1492 12 1350 1492 0,12.
7 1493-1635 6 1493 1635 0,06.
8 1636 3 1636 1778 0,03.
SUM 100 1779 1.
Interpretation:.
Looking at the seventh class's relative frequency we see that 6 % of the rents were between $1493-$1635. .
6% of all the rental fees are between of $1493-$1635.
I.3 Cumulative frequency distribution:. .
It shows the number of items less than or equal to the upper limit of each class.
Classes Frequency (f) Lower limits Upper limits g f'.
1 635-777 6 635 777 0,06 6.
2 778-920 16 778 920 0,16 22.
3 921-1063 17 921 1063 0,17 39.
4 1064-1206 23 1064 1206 0,23 62.
5 1207-1349 17 1207 1349 0,17 79.
6 1350-1492 12 1350 1492 0,12 91.
7 1493-1635 6 1493 1635 0,06 97.
8 1636 3 1636 1778 0,03 100.
SUM 100 1779 1 .
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