Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (VCMSP270)

LO: To calculate the mean, median, mode and range for a set of data.

Know:

  • How to add and divide numbers.

  • How to order numbers from ascending/descending order.

  • How to do a tally table.

Understand:

  • That statistics can be used to help organise data and draw meaningful generalisations regarding the data.

Do:

  • I can calculate the mean, median, mode and range for a set of given data.

Visual Representations

Mean

Mean is also known as the average. The average shows you what the “typical” amount is.

To find the mean of a data set:

1) add all of the numbers
2) divide by the number of items in the data set.

The mean of a set of numbers if found by dividing the sum of the numbers by the number of numbers in the set.

In this example, we are trying to find the mean from a set of 10 numbers, when we calculate the sum of the 10 numbers we get 430. Since there are 10 numbers we divide 430 by 10, which gives us a mean of 43.

Median

Median is also known as the middle number when arranged in ascending or descending order. The median shows you what the middle number is that splits the data in half so that half of the data is on one side and the other half is on the other.

To find the median of a data set:

1) arrange the numbers in order (ascending/descending doesn’t really matter)
2) find the middle number
3) if there are 2 middle numbers, you will have to find the average between the two numbers.

1 middle number

2 middle numbers (you have the find the mean of the 2 middle numbers in order to generate a new median)

Mode

Mode is also known as the “most popular/common” number/item. It is the value that occurs the most often in a set of data.

Most popular number from the list is 5.

Range

Range is the difference between the lowest (minimum) and highest (maximum) values or the spread of values of your data.

The range shows you how spread out or close the data is.

ACARA Work Samples

Summary Statistics (measures of central tendency) Videos

Student Generated Videos