Input Data :
Intervals = 1-10, 11-20, 21-30, 31-40, 41-50
Frequency = 5, 8, 15, 23, 35
Total number of elements = 5
Objective :
Find what is arithmetic mean for given input data?
Fromula :
Arithmetic Mean = ∑f x∑f
f is the frequency
x is the midpoint of the data set interval
Solution :
= (5 x 5.5) + ( 8 x 15.5) + ( 15 x 25.5) + ( 23 x 35.5) + ( 35 x 45.5)5 + 8 + 15 + 23 + 35
= (27.5) + (124) + (382.5) + (816.5) + (1592.5)86
= 294386
Arithmetic Mean = 34.2209
Class Interval Arithmetic Mean Calculator is an online statistics tool for data analysis programmed to represent a collection of variable data from a sample by lumping together into more manageable class intervals. The class interval often called as units or classes or bins which are used to lump observations or data set in order to reduce the amount of data to make it easier to analyze or visualize.
Class Interval Arithmetic Mean is the distribution represented by relative frequency counts or proportions of observations within different class intervals. The Class Interval as known as bins used to lump observations or data set in order to reduce the amount of data to make it easier to analyze or visualize. Class Interval Arithmetic Mean is the way to represent a collection of variable data from a sample by lumping together into more manageable class intervals.
The distribution represented by relative frequency counts or proportions of observations within different class intervals and can be calculated from the formula
Where
f is the frequency
x is the midpoint of the data set
The collection of tools employs the study of methods and procedures used for gathering, organizing, and analyzing data to understand theory of Probability and Statistics. The set of ideas which is intended to offer the way for making scientific implication from such resulting summarized data. In many applications it is necessary to calculate the Class Interval Arithmetic Mean for a given set of data. With this online Class Arithmetic Mean calculator you can effortlessly make your calculation for any data set.