Monday, February 11, 2013

Statistics Questions

Introduction :

“Statistic is the numerical statement of facts, capable of analysis and interpretation.The science of statistics is the study of the principles and the methods applied in collecting, presenting, analysis and interpreting the numerical data in any field of inquiry.”  It’s also denoted as “statistics is the science of counting”.

Statistics question - Example problems:

Example for statistic question 1:

Find the mean deviation of the mean for the following data: 15, 17, 10, 13, 7, 18, 9, 6, 14, 11

Solution :

Let the mean of the given data be x1. Then,

i=1?n|X1=x| / n

=120 / 10

=12. [n=10]

The values of (x-x1 ) are 3,5,-2,1,-5,6,-3,-6,2,-1.

Therefore, the values are |x-x1| is 3,5,2,1,5,6,3,6,2,1

Mean Deviation (x1)=i=1?n|x-x1| / n   = 34/10=3.4

Hence Mean Deviation (x1)=3.4.

Understanding descriptive statistics definition is always challenging for me but thanks to all math help websites to help me out.


Practice problem for statistic question:

Statistics question word problem 1: Six boys have heights in cm, of 171, 169, 168, 166, 165. Five girls have heights in cm, 161, 160, 157, 157, 155. Draw up a frequency distribution table of the thirty possible difference in height obtained when each boy is paired with any girl. Calculate the mean of these differences and their standard deviation.

Answer:  mean 9.5 cm, Standard deviation 3.01 cm.

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