Quickname: 3103

Suitable for K-12 grades: Grade 5 Grade 6 Grade 7

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

For a series of numbers, the mean or median is to be found.

A series of whole numbers is presented. Depending on the task, the median or the mean value of the numbers is to be determined.

It can be set whether only the mean or only the median is asked for, or whether one of the two values is asked for in random alternation.

The number range from which the numbers are taken can be set. The count of the numbers in the numerical series can also be selected. If the median is asked for, it must be formed from the mean value of the two middle numbers if the number of numbers is even. To ensure that the median can always be read directly from the number series, it can be specified that the number of numbers is always odd when the median is asked for.

The number series is made so that the mean, like the numbers themselves, is always an integer.

If desired, the numbers can be presented sorted by value.

To simplify the task, the solution steps can be given in the task and/or in the solution.

These steps are provided as follows:

For the mean:

1. Calculate the sum of the numbers.

2. Divide the sum by the number of numbers.

For the median:

1. Order the numbers in order of their size.

2. For an even number of numbers: Calculate the median as the mean of the two middle numbers.

resp.

2. For an odd number of numbers: The number in the middle is the median.

The number of problems can be set.

Topics: Arithmetic Number spaces Statistics Stochastics Whole Numbers

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Parameter

Possible values

Number of problems

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Ask for...

Mixed, Median, Mean

Number of numbers

3-7, 7-9, 9-11

Even number of numbers allowed

Yes, No

Same number allowed multiple times

Yes, No

Sorted list of numbers given

Yes, No

Number range

1 - 50, 1 - 100, -20 - 20, -50 - 50, -100 - 100

Show solution steps

no, with solution, with problem&solution

Remark

Description

Name and direct link

Both median and mean are given as values, it has to be determined which value is what

For two given numbers for a number series, decide which is the median and which is the mean.

For a given value, decide whether it is the median or the mean value

Decide whether a number is the median or mean of a given series of whole numbers.

You may pass on the worksheets offered for download on this page to others, but not modify or sell them.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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