How To Find the Average of Numbers in a Data Set – Maths and Statistics

How To Find the Average in Maths

The average of numbers in a dataset is also known as the mean value. A dataset is a range of values measured, recorded or collected through a survey. The mean value of the dataset is calculated by adding up all the measured values (Summation), and then dividing the total by the number of values in the range. The formula for calculating the average can thus be derived:

Let Av be the average, and ∑x be the summation of x, and N be the number of values in the range. Therefore,

Av = Average.

∑x = Summation of X.

X = Value in the range (x1, x2, x3, x4…….)

N = Number of values in the range.

Av = (x1 + x2 + x3 + x4…)/N

Mathematics Average Formula Mean Value

Mathematics Average Formula Mean Value

Applications of Average Values  in Real Life

The average of a dataset is the mean value which is representative of the dataset (sample or population). The average value is used for rough estimating purposes. The following are some of real life examples whereby the mean value is calculated in a statistical survey:

  • Average height of males in a country
  • Average height of females in a country
  • Average age of voters in a country
  • Average age of an audience (e.g. TV shows, sports, websites)
  • Average monthly visitors (e.g. tourists, website visitors)
  • Average income in a country
  • Average middle class income
  • Average upper class income
  • Average lower class income
  • Average academic achievement scores in a school, college, university or country
  • Average I.Q in a country
  • Average monthly sales in a year
  • Average monthly profit in a year
  • Average annual construction cost index in a location
  • Average building cost per square metre in a location
  • Average consumer price index in a city or country
  • Average rent in a suburb, city, state or country
  • Average house price in a suburb, city, state or country
  • Average house price in middle class locations
  • Average house price low-income locations
  • Average house price in upper class locations
  • Average mortality age in a country
  • Average life expectancy in a country
  • Average speed
  • Average annual temperature in a country or region
  • Average annual humidity in a country or region
  • Average annual rainfall in a country or region

 

How to Calculate the Average  – Problems and Solutions

Problem 1

There are 8 tomatoes in a pack weighing 1kg and priced at $26.99. Find the average weight and price of each tomato?

Solution:

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