1- Explain why measures of central Tendencies are key diagnostic figures in the data set collected for the research topic. 2- Explain why measures of variation of the data set would show...

Q.1
Measure of central tendency:
A measure of central tendency in any data set is defined as a single value that gives an idea about the description of the data set collected. The measure of central tendency also identifies the central position of the data
There are various methods to measure the central tendency of any data. But the common are i) Mean, ii) Median and the iii) Mode
Mean: Mean also known in layman language as average is the sum of all items divided by no of items
If X1, X2…Xn are in the data set mean is defined as
The mean gives a general idea about the values in the set. The main advantages of mean is it is scientifically accurate, and includes each item in the data set. Also this is the only central tendency about which deviations of all entries sum up to zero.
Limitations of mean:
Mean is affected by extreme values. For eg, if a batsman gets runs 10, 12, 15 in three games his average is 12.33. Suppose in the 4th match he gets a century average boosts upto 34.25. Thus the main disadvantage of mean is the misconception it gives when extreme items either lowest or highest (usually termed outliers in...