Flashcards: Statistics | Mathematics (Maths) for JEE Main & Advanced PDF Download

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STATISTICS 
Stastics is a branch of mathematics which deals with collection, grouping, analysis of the data and then 
to derive the results which are representative of the data collected. Single value of the variable describing 
the data is called an average. Average lies on generally in the middle of data so such values are called 
measures of central tendency. Common measures are mean, median and mode. 
  
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STATISTICS 
Stastics is a branch of mathematics which deals with collection, grouping, analysis of the data and then 
to derive the results which are representative of the data collected. Single value of the variable describing 
the data is called an average. Average lies on generally in the middle of data so such values are called 
measures of central tendency. Common measures are mean, median and mode. 
  
 
 
 
 
 
Mean, Median and Mode 
The degree to which the values in a set of data are spread around an average is called dispersion of 
variation. The different measures of dispersion are range, quartile deviation, mean deviation, standard 
deviation and variance. Statistics finds a wide application in finance, economics, various surveys, 
planning, demography and various other analysis. All future planning of a country depends upon 
statistics of growth or fall in population, industrial production, crop production etc. 
  
Page 3


 
 
 
 
STATISTICS 
Stastics is a branch of mathematics which deals with collection, grouping, analysis of the data and then 
to derive the results which are representative of the data collected. Single value of the variable describing 
the data is called an average. Average lies on generally in the middle of data so such values are called 
measures of central tendency. Common measures are mean, median and mode. 
  
 
 
 
 
 
Mean, Median and Mode 
The degree to which the values in a set of data are spread around an average is called dispersion of 
variation. The different measures of dispersion are range, quartile deviation, mean deviation, standard 
deviation and variance. Statistics finds a wide application in finance, economics, various surveys, 
planning, demography and various other analysis. All future planning of a country depends upon 
statistics of growth or fall in population, industrial production, crop production etc. 
  
 
 
 
 
 
 
Mean 
Also called arithmetic mean or simply average. 
Unclassified data: The mean of ?? observations ?? 1
, ?? 2
, … ?? ?? is defined as 
?? ? =
?? 1
+ ?? 2
+ ?? 3
+ ? + ?? ?? ?? =
1
?? ? ?
?? ?? =1
?? ?? 
  
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STATISTICS 
Stastics is a branch of mathematics which deals with collection, grouping, analysis of the data and then 
to derive the results which are representative of the data collected. Single value of the variable describing 
the data is called an average. Average lies on generally in the middle of data so such values are called 
measures of central tendency. Common measures are mean, median and mode. 
  
 
 
 
 
 
Mean, Median and Mode 
The degree to which the values in a set of data are spread around an average is called dispersion of 
variation. The different measures of dispersion are range, quartile deviation, mean deviation, standard 
deviation and variance. Statistics finds a wide application in finance, economics, various surveys, 
planning, demography and various other analysis. All future planning of a country depends upon 
statistics of growth or fall in population, industrial production, crop production etc. 
  
 
 
 
 
 
 
Mean 
Also called arithmetic mean or simply average. 
Unclassified data: The mean of ?? observations ?? 1
, ?? 2
, … ?? ?? is defined as 
?? ? =
?? 1
+ ?? 2
+ ?? 3
+ ? + ?? ?? ?? =
1
?? ? ?
?? ?? =1
?? ?? 
  
 
 
 
Mean 
Grouped data: Let ?? 1
, ?? 2
, … ?? ?? be ?? observation with corresponding frequencies as ?? 1
, ?? 2
, ?? 3
, … ?? ?? 
respectively, then 
?? ? =
?? 1
?? 1
+ ?? 2
?? 2
+ ?? 3
?? 3
+ ? + ?? ?? ?? ?? ?? 1
+ ?? 2
+ ? + ?? ?? =
? ?
?? ?? =1
??? ?? ?? ?? ? ?
?? ?? =1
??? ?? 
  
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STATISTICS 
Stastics is a branch of mathematics which deals with collection, grouping, analysis of the data and then 
to derive the results which are representative of the data collected. Single value of the variable describing 
the data is called an average. Average lies on generally in the middle of data so such values are called 
measures of central tendency. Common measures are mean, median and mode. 
  
 
 
 
 
 
Mean, Median and Mode 
The degree to which the values in a set of data are spread around an average is called dispersion of 
variation. The different measures of dispersion are range, quartile deviation, mean deviation, standard 
deviation and variance. Statistics finds a wide application in finance, economics, various surveys, 
planning, demography and various other analysis. All future planning of a country depends upon 
statistics of growth or fall in population, industrial production, crop production etc. 
  
 
 
 
 
 
 
Mean 
Also called arithmetic mean or simply average. 
Unclassified data: The mean of ?? observations ?? 1
, ?? 2
, … ?? ?? is defined as 
?? ? =
?? 1
+ ?? 2
+ ?? 3
+ ? + ?? ?? ?? =
1
?? ? ?
?? ?? =1
?? ?? 
  
 
 
 
Mean 
Grouped data: Let ?? 1
, ?? 2
, … ?? ?? be ?? observation with corresponding frequencies as ?? 1
, ?? 2
, ?? 3
, … ?? ?? 
respectively, then 
?? ? =
?? 1
?? 1
+ ?? 2
?? 2
+ ?? 3
?? 3
+ ? + ?? ?? ?? ?? ?? 1
+ ?? 2
+ ? + ?? ?? =
? ?
?? ?? =1
??? ?? ?? ?? ? ?
?? ?? =1
??? ?? 
  
 
 
 
Mean 
Shortcut method : Let the assumed mean (usually the middle term of the data) be ?? . 
The deviation from assumed mean, ?? ?? = ( ?? ?? - ?? ) for each term 
?? ? = ?? +
? ?? ?? ?? ?? ? ?? ??