Averages

posted on: 17 Mar, 2012 | updated on: 15 Sep, 2012

An average of statistical data is the value which is representative of the entire data. An average represents the entire data, its value lies somewhere in between two extremes. For this reason, statistics average is called Measure of Central Tendency. Now we discuss how we calculate statistical average:
There are following methods we use to calculate statistical average -
Raw method: If we have n quantities x₁, x₂, x₃, x₄,............................x_n, then Mean or average of n quantities is
Mean = (x₁+ x₂ + x₃ + x₄+..........................+x_n)/n
Direct method: if data are distributed frequency wise, then mean or average is
Mean = (f₁x₁ + f₂x₂ + f₃x₃ + …...........f_nx_n)/∑f_i = ∑f₁x_i / ∑f_i
Where x stands for the variable, f_i stands for the frequency of x_i and ∑f_i stands for the total frequencies.
Mean by short-cut method: The formula of short-cut method is -
Mean = a + ∑f_id_i/∑f_i = x_i _– a
Where a is the assumed mean.
Mean by step-deviation method: The formula of step-deviation method is -
Mean = a + ∑f_i u_i/∑f_i * h
Where a stands for assumed mean and u_i = (x_i _– a)/h, here h stands for class-width
These are methods for calculating the average Statistics.

Topics Covered in Averages

- Mean
- Mid-range
- Median
- Mode

Mean

posted on: 17 Mar, 2012 | updated on: 01 Sep, 2012

The mean of any number of values is the sum of the values divided by the number of values. Suppose we have a Set of a1, a2, a3…………an then the mean Statistics of the given number set will be (a1 + a2 + a3 +………… + an) / n. this is also known as Arithmetic Mean(K).
We have several types of statistics mean or Averages for several types of data Sets.
Arithmetic mean (AM):
It is also...Read More

Mid-range

posted on: 17 Mar, 2012 | updated on: 29 Jun, 2012

We say that mid-range in Statistics is the midway Point between the minimum and the maximum in a Set of data. It is calculated as: midrange = (maximum + minimum) / 2.
For any set of numerical data, we say that the mid range in statistics of the given data is the Arithmetic. Mid-range is the mid – extreme of the set of statistical data values. It is the arithmetical Mean of th...Read More

Median

posted on: 19 Mar, 2012 | updated on: 15 Sep, 2012

In mathematics or Statistics, median is defined as the value separating the data Set or the Probability distribution into two halves, lower half and upper half. The median in statistics can be determined by placing all the Numbers in increasing order and picking up the middle value. If the number of values are even than the median is defined by the arithmetic Mean of the two midd...Read More

Mode

posted on: 20 Mar, 2012 | updated on: 23 May, 2012

While studying Statistics Mean, median and mode are the Basic Terms used in the statistics sampling of data. Mean is used to find the Average of the given data, Median is used to find the mid value of the given data and mode in statistics is used to find the value of the most occurring value in the given data.
Literal meaning of mode statistics is the most occurring value, which ...Read More

Further Read

Math Topics

Top Scorers in Averages Worksheets

Engr Asif Mohammed S in Statistics
in Mean Worksheet
Grade 9 Score 100
Toni Abee in Statistics
in Median Worksheet
Grade 9 Score 80
Toni Abee in Statistics
in Median Worksheet
Grade 9 Score 20

Want to know your friend’s score card! Login with Facebook.

Related Worksheet Of Averages