You are a member of your local apartment association. Recently, this association has received complaints from renters in a particular area of the city who feel their rent is much higher than other areas. You investigate the complaint by collecting data from 4 different areas of the city (see table below). (a) Area A is the area that filed the complaint. Calculate the mean and the median of each area. (b) Do you feel Area A’s complaint is justified- why or why not? (c) Which do you think is a better measure to use in this situation - the mean or the median? Explain your reasoning. Area A Area B Area C Area D 1275 1124 1085 928 1110 954 827 1096 975 815 793 862 862 1078 1170 735 1040 843 919 798 997 745 943 812 1119 796 756 1232 908 816 765 1036 890 938 809 998 1055 1082 1020 914 860 750 710 1005 975 703 775 930
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
You are a member of your local apartment association. Recently, this association has received complaints from renters in a particular area of the city who feel their rent is much higher than other areas. You investigate the complaint by collecting data from 4 different areas of the city (see table below). (a) Area A is the area that filed the complaint. Calculate the mean and the
|
Area A |
Area B |
Area C |
Area D |
|
1275 |
1124 |
1085 |
928 |
|
1110 |
954 |
827 |
1096 |
|
975 |
815 |
793 |
862 |
|
862 |
1078 |
1170 |
735 |
|
1040 |
843 |
919 |
798 |
|
997 |
745 |
943 |
812 |
|
1119 |
796 |
756 |
1232 |
|
908 |
816 |
765 |
1036 |
|
890 |
938 |
809 |
998 |
|
1055 |
1082 |
1020 |
914 |
|
860 |
750 |
710 |
1005 |
|
975 |
703 |
775 |
930 |
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
