Wednesday 3 July 2013

Day 2: First step to Statistical Analysis...



We were given a data of population of cities of different States and 2-wheelers bought in those cities for the year 2009, 2010 and 2011. Using the provided data we were asked to find out the cities having maximum number of 2-wheelers in a given Region (North, South, East, West and Central).


Above graphs are not normally distributed and therefore there is no uniformity in the data given.  We were also told about skewness and different types of normal curves:
1)Right-tailed normal curve
2)Left-tailed normal curve


                                                                                                                           
Firstly we used the Ratio method i.e. the population of people in a given city to the number of 2-wheelers in the same city. But this method was not very accurate.

Further in Class we were introduced to the three basic term of statistics:
1.       Mean:
Mean is basically the average of a set of given values.
For Example:  1,1,2,4,5,6,7,8,8,8
The average of all numbers given above is (1+1+2+4+5+6+7+8+8+8)/10 =5

2.       Median:
              The median is the numerical value separating the higher half of a data from the lower half.
 For Example:  1,1,2,4,5,6,7,8,8,8
The median of the above is (5+6)/2= 5.5

3.       Mode:
The mode is the value that appears most often in a set of data.
For Example:  1,1,2,4,5,6,7,8,8,8
The mode of the above is 8.

We were then asked to find the mean and median of 2-wheelers in the top cities of all the regions using SPSS.




We also used box-plot to further analyse the given data.



Outliner is an observation that is numerically distant from the rest of the data. In the given box-plot there are two outliners.  One in the northern region and the other in the central region. This indicated that there was a city in both the region where the number of 2-wheleers was comparatively much higher than the rest of the cities of the same region.

We also noticed that in the given data the mean was always greater than the Median and median was a much better way of analysing the same. 

Prachee Kasera
Neha Gupta
Nitesh Beriwal
Raghav Bhatter
Parthojit Sar



  

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