Conduct an investigation considering the following concepts: Contrast the tabular and graphical methods used for qualitative and quantitative data. Arithmetic average Geometric mean Weighted average...

Measure of Central Tendency
Contrast the tabular and graphical methods used for quantitative data and qualitative data:
The exact meaning of quantitative data is which can be measured in numbers for example weight of a person, marks of students etc.
The meaning of qualitative data is which can never be measured or we can say that which can be divided into categories like male, female or intelligence etc.
To do analysis of the qualitative data, it is desired to convert it into a tabular form or we can say in contingency table. After that, we can do analysis on the qualitative data. Also, graphical techniques for qualitative data will not give exact overview about the data.
To do analysis on the quantitative data graphical method is good technique. We can clearly see that pattern in the data set if present. Also, by using graphical methods it will be easy to do analysis on the quantitative data.
Arithmetic mean: It is defined as the ratio of the total sum of the observations to the total number of terms. It can be defined as follows:
Mean
Let us suppose we have marks of 9 students in a subject.
45, 56, 52, 85, 63, 23, 96, 78, 48
Then the average marks is calculated as follows:
Geometric mean: It is defined as the nth root of the product of the n observations. It is important because it gives more weight to small observations.
Let us assume the same data,
Geometric mean

Weighted mean: In the calculation of arithmetic mean, we assume that all items have equal importance. But it is not true in every case. Sometimes some items in the data need more importance than others. In that way calculated mean is called weighted mean.
Let us suppose that the marks of a student different subjects are given with their respective weightage. He got 70 marks in maths with 4 weightage, 85 marks in science with 3 weightage and 75 in statistics with 3 weightage. The average marks are calculated as follows:
Weighted mean

Median: It is defined as the middle value in a data set. It is calculated by taking middle value in the data set if the number of observations are odd and if they are even then calculated by taking mean of two middle values.
Let us...