# Program for class interval arithmetic mean

Given a class interval and frequency distribution and the task is to find Arithmetic mean. In case of frequency distribution the raw data is arranged by intervals having corresponding frequencies. So if we are interested to find arithmetic mean of the data having class interval we must know the mid variable x. This variable can be calculated by using mid point of interval.

Let lower limit of interval are lower_limit[] = {1, 6, 11, 16, 21}
Upper limit of interval are upper_limit[] = {5, 10, 15, 20, 25}
and frequency freq[] = {10, 20, 30, 40, 50} are given.

Where mid(x) = (lower[i] + upper[i]) / 2;
and mean = (freq * mid + freq * mid + . . . + freq[n – 1] * mid[n – 1]) / (freq + freq + . . . + freq[n-1])

= 2450 / 150
= 16.3333

Examples:

```Input : lower_limit[] = {1, 6, 11, 16, 21}
upper_limit[] = {5, 10, 15, 20, 25}
freq[] = {10, 20, 30, 40, 50}
Output : 16.3333

Input : lower_limit[] = {10, 20, 30, 40, 50}
upper_limit[] = {19, 29, 39, 49, 59}
freq[] = {15, 20, 30, 35, 40}
Output : 38.6429
```

## C++

 `// CPP program to find class interval ` `// arithmetic mean. ` `#include ` `using` `namespace` `std; ` ` `  `// Function to find class interval arithmetic mean. ` `float` `mean(``int` `lower_limit[], ``int` `upper_limit[],  ` `                              ``int` `freq[], ``int` `n) ` `{ ` `    ``float` `mid[n]; ` `    ``float` `sum = 0, freqSum = 0; ` ` `  `    ``// calculate sum of frequency and sum of  ` `    ``// multiplication of interval mid value  ` `    ``// and frequency. ` `    ``for` `(``int` `i = 0; i < n; i++) { ` `        ``mid[i] = (lower_limit[i] + ` `                  ``upper_limit[i]) / 2; ` `        ``sum = sum + mid[i] * freq[i]; ` `        ``freqSum = freqSum + freq[i]; ` `    ``} ` `    ``return` `sum / freqSum; ` `} ` ` `  `// Driver function ` `int` `main() ` `{ ` `    ``int` `lower_limit[] = { 1, 6, 11, 16, 21 }; ` `    ``int` `upper_limit[] = { 5, 10, 15, 20, 25 }; ` `    ``int` `freq[] = { 10, 20, 30, 40, 50 }; ` `    ``int` `n = ``sizeof``(freq) / ``sizeof``(freq); ` `    ``cout << mean(lower_limit, upper_limit, freq, n); ` `    ``return` `0; ` `} `

## Java

 `// java program to find ` `// class interval ` `import` `java.io.*; ` ` `  `class` `GFG { ` ` `  `    ``// Function to find class ` `    ``// interval arithmetic mean. ` `    ``static` `float` `mean(``int` `lower_limit[], ` `        ``int` `upper_limit[], ``int` `freq[], ``int` `n) ` `    ``{ ` `        ``float` `mid[] = ``new` `float``[n]; ` `        ``float` `sum = ``0``, freqSum = ``0``; ` `     `  `        ``// calculate sum of frequency and sum of  ` `        ``// multiplication of interval mid value  ` `        ``// and frequency. ` `        ``for` `(``int` `i = ``0``; i < n; i++) { ` `             `  `            ``mid[i] = (lower_limit[i] + ` `                    ``upper_limit[i]) / ``2``; ` `                     `  `            ``sum = sum + mid[i] * freq[i]; ` `            ``freqSum = freqSum + freq[i]; ` `        ``} ` `         `  `        ``return` `sum / freqSum; ` `    ``} ` `    ``// Driver function ` `    ``public` `static` `void` `main (String[] args) { ` `     `  `    ``int` `lower_limit[] = { ``1``, ``6``, ``11``, ``16``, ``21` `}; ` `    ``int` `upper_limit[] = { ``5``, ``10``, ``15``, ``20``, ``25` `}; ` `    ``int` `freq[] = { ``10``, ``20``, ``30``, ``40``, ``50` `}; ` `    ``int` `n = freq.length; ` `     `  `    ``mean(lower_limit, upper_limit, freq, n); ` `        ``System.out.println(mean(lower_limit, ` `                        ``upper_limit, freq, n)); ` `    ``} ` `} ` ` `  `// This code is contributed by vt_m `

## Python 3

 `# Python 3 program to find class interval ` `# arithmetic mean. ` ` `  `# Function to find class interval ` `# arithmetic mean. ` `def` `mean(lower_limit, upper_limit, freq, n): ` ` `  `    ``mid ``=` `[``0.0``] ``*` `n ` `    ``sum` `=` `0` `    ``freqSum ``=` `0` ` `  `    ``# calculate sum of frequency and ` `    ``# sum of multiplication of interval ` `    ``# mid value and frequency. ` `    ``for` `i ``in` `range``( ``0``, n):  ` `        ``mid[i] ``=` `((lower_limit[i] ``+` `                  ``upper_limit[i]) ``/` `2``) ` `                   `  `        ``sum` `=` `sum` `+` `mid[i] ``*` `freq[i] ` `        ``freqSum ``=` `freqSum ``+` `freq[i] ` `     `  `    ``return` `sum` `/` `freqSum ` ` `  ` `  `# Driver function ` `lower_limit ``=` `[ ``1``, ``6``, ``11``, ``16``, ``21` `] ` `upper_limit ``=` `[ ``5``, ``10``, ``15``, ``20``, ``25` `] ` `freq ``=` `[``10``, ``20``, ``30``, ``40``, ``50``]  ` `n ``=` `len``(freq) ` `print``(``round``(mean(lower_limit, upper_limit, ` `                             ``freq, n), ``4``)) ` `                              `  `# This code is contributed by ` `# Smitha Dinesh Semwal `

## C#

 `// C# program to find ` `// class interval ` `using` `System; ` ` `  `class` `GFG { ` ` `  `    ``// Function to find class ` `    ``// interval arithmetic mean. ` `    ``static` `float` `mean(``int` `[]lower_limit, ` `        ``int` `[]upper_limit, ``int` `[]freq, ``int` `n) ` `    ``{ ` `        ``float` `[]mid = ``new` `float``[n]; ` `        ``float` `sum = 0, freqSum = 0; ` `     `  `        ``// calculate sum of frequency and sum of  ` `        ``// multiplication of interval mid value  ` `        ``// and frequency. ` `        ``for` `(``int` `i = 0; i < n; i++) { ` `             `  `            ``mid[i] = (lower_limit[i] + ` `                    ``upper_limit[i]) / 2; ` `                     `  `            ``sum = sum + mid[i] * freq[i]; ` `            ``freqSum = freqSum + freq[i]; ` `        ``} ` `         `  `        ``return` `sum / freqSum; ` `    ``} ` `     `  `    ``// Driver function ` `    ``public` `static` `void` `Main () { ` `     `  `        ``int` `[]lower_limit = { 1, 6, 11, 16, 21 }; ` `        ``int` `[]upper_limit = { 5, 10, 15, 20, 25 }; ` `        ``int` `[]freq = { 10, 20, 30, 40, 50 }; ` `        ``int` `n = freq.Length; ` `         `  `        ``mean(lower_limit, upper_limit, freq, n); ` `            ``Console.WriteLine(mean(lower_limit, ` `                            ``upper_limit, freq, n)); ` `    ``} ` `} ` ` `  `// This code is contributed by vt_m `

## PHP

 ` `

Output:

```16.3333
```

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Improved By : Smitha Dinesh Semwal, vt_m

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