# Class Interval Mean Tutorial

## Class Interval Mean Tutorial

##### Class Interval Arithmetic Mean Definition:

A range of values of a variable, an interval used in dividing the scale of the variable for the purpose of tabulating the frequency distribution of a sample. In other words, we can define as the individual group of scores in a grouped frequency distribution.

#### Formula:

###### Class Interval Arithmetic Mean :
Arithmetic Mean = ΣfX/Σf where

X = Midpoint f = Frequency

##### Class Interval Arithmetic Mean Example:

To find the Arithmetic Mean of

IntervalsFrequency(f)
10 - 203
20 - 309
30 - 405

Find Σf. Σf = 17

###### Step 2:

Then, Find the Midpoint for the class interval. Midpoint(X) = (10+20)/2, (20+30)/2, (30+40)/2 = 15, 25, 35

###### Step 3:

Now, Find ΣfX. ΣfX =((3*15)+(9*25)+(5*35)) = (45+225+175) = 445

IntervalsFrequency(f)MidpointXf
10 - 203(10 + 20)/2 = 153 * 15 = 45
20 - 309(20 + 30)/2 = 259 * 25 = 225
30 - 405(30 + 40)/2 = 355 * 35 = 175
###### Step 4:

Now, Substitute in the above formula given. Arithmetic mean = ΣfX/Σf = 445/17 = 26.1765 This example will clearly illustrates how to calculate the Class Interval Arithmetic mean manually.

#### Related Calculator:

This tutorial will help you dynamically to find the Class Interval Arithmetic Mean problems.