Mean, Median, Mode, & Range

The Standard is 4.DS.A.3

Analyze data in a frequency table, line plot, bar graph, or picture graph. Students will find the mode, range, least occurring data and answer questions about that data. Data should represent whole numbers and fractional numbers with common denominators such as 2, 4, 8, 10, 100.

Vocabulary:

Mode-the value that occurs most frequently in a given set of data. The number which appears most often in a set of numbers.

Example: in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 (it occurs most often).

Mean-The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.

To calculate it:

• add up all the numbers,

• then divide by how many numbers there are.

Example: what is the mean of 2, 7 and 9?

Add the numbers: 2 + 7 + 9 = 18

Divide by how many numbers (i.e. we added 3 numbers): 18 ÷ 3 = 6

So the mean is 6

Median-The "middle" of a sorted list of numbers.

To find the Median, place the numbers in value order and find the middle number.

Example: find the Median of {13, 23, 11, 16, 15, 10, 26}.

Put them in order: {10, 11, 13, 15, 16, 23, 26}

The middle number is 15, so the median is 15.

(When there are two middle numbers we average them.)

Range-The difference between the lowest and highest values.

In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6.

Range can also mean all the output values of a function.

Resources:

Mean, Median, Mode & Range Song: https://www.youtube.com/watch?v=IHginNwss5c

Math Antics Video: https://www.youtube.com/watch?v=B1HEzNTGeZ4

Mean , Median & Mode Toads: https://www.youtube.com/watch?v=5C9LBF3b65s