Program to implement standard deviation of grouped data | Java program to implement standard deviation of grouped data . ; Function to find mean of grouped data . ; Function to find standard deviation of grouped data . ; Formula to find standard deviation deviation of grouped data . ; Driver function . ; Declare and initialize the lower limit of interval . ; Declare and initialize the upper limit of interval . ; Calculating the size of array .
import java . io . * ; class GFG { static float mean ( float mid [ ] , int freq [ ] , int n ) { float sum = 0 , freqSum = 0 ; for ( int i = 0 ; i < n ; i ++ ) { sum = sum + mid [ i ] * freq [ i ] ; freqSum = freqSum + freq [ i ] ; } return sum / freqSum ; } static float groupedSD ( float lower_limit [ ] , float upper_limit [ ] , int freq [ ] , int n ) { float mid [ ] = new float [ n ] ; float sum = 0 , freqSum = 0 , sd ; for ( int i = 0 ; i < n ; i ++ ) { mid [ i ] = ( lower_limit [ i ] + upper_limit [ i ] ) / 2 ; sum = sum + freq [ i ] * mid [ i ] * mid [ i ] ; freqSum = freqSum + freq [ i ] ; } sd = ( float ) Math . sqrt ( ( sum - freqSum * mean ( mid , freq , n ) * mean ( mid , freq , n ) ) / ( freqSum - 1 ) ) ; return sd ; } public static void main ( String [ ] args ) { float lower_limit [ ] = { 50 , 61 , 71 , 86 , 96 } ; float upper_limit [ ] = { 60 , 70 , 85 , 95 , 100 } ; int freq [ ] = { 9 , 7 , 9 , 12 , 8 } ; int n = lower_limit . length ; System . out . println ( groupedSD ( lower_limit , upper_limit , freq , n ) ) ; } }