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Details for problem "Weighted mean of the given set of numbers"

Quickname: 5383

Suitable for K-12 grades: Grade 6 Grade 7 Grade 8

Elementary School, Primary School, Junior High School, Middle School, High School.

Summary

To a series of numbers and weights, determine the weighted mean.

Example

To a series of numbers and weights, determine the weighted mean. (Example for this math problem)

Description

A series of whole numbers is presented. The weighted mean of the numbers is to be determined.

It is adjustable from which number range the numbers and weights come. The number of numbers in the series can also be chosen. The number series is designed so that the weighted mean, like the numbers themselves, is always a whole number.

The numbers and their weights are presented in a table. If desired, the numbers can be presented sorted by size.

To make the task easier, the solution steps can be given in the task and/or in the solution. These steps are as follows:

For the weighted mean:

   Calculate the sum of the products of each number and its weight.
   Calculate the sum of the weights.
   Divide the weighted sum by the sum of the weights.

Topics: Algebra Elementary arithmetic Statistics Whole Numbers Written form

Tags: Addition Money Multiplication Units

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Customization options for this problem

Parameter
Possible values
Number of problems
1, 2, 3, 4, 5
Number of numbers
3-7, 7-9, 9-11
Same numbers twice
Yes, No
Present sorted numbers
Yes, No
Number range
1 - 50, 1 - 100, -20 - 20, -50 - 50, -100 - 100
Weights range
10, 20, 30, 40, 50, 100
Show steps
no, with solution, with problem&solution


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