Day 14 Numeracy (Averages)

Averages (Means, Medians and Modes)

Average:
1. Noun: A single value (as a mean, mode or median) that summarizes or represents the general significance of a set of numbers.
2. Verb: To find the arithmetic mean of a series of numbers.

Mean: To find the mean for a set of numbers, add up all the numbers and divide the sum by the number of numbers in the set.

Find the Mean: 22, 26, 20, 24, 21, 25

22 + 26 + 20 + 24 + 21 +25 = 138 = 23
------------------------------------........-----
..................6.............................. 6

Median: To find the median for a set of numbers, place the numbers in a list from smallest to largest, and then take the middle number (or the average of the two middle numbers).

Find the Mean: 20, 21, 22, 24, 25, 26

22 + 24 = 46 = 23
-----------....----
.....2........ 2

Mode: The mode of a number is the number that appears most often.

Find the Mode: 23, 53, 53, 67, 25, 11, 53, 46, 23

Mode: 53


Problems

Find the mean for each set of numbers.

· 1, 2, 3, 4, 5


· 2, 4, 6, 8, 10


· 1, 3, 9, 11


· 5, 7, 9, 12, 12


Find the Median for each set of numbers.

· 5, 9, 11, 13, 15


· 42, 48, 50, 64


· 10, 20, 50, 90, 100


· 700, 900, 1100


Find the Mode for the following.

· 14, 18, 27, 36, 18, 73


· 11, 27, 18, 72, 11