Section 5. 7 Decimal Applications : Mean, Median, and Mode
Central Tendency • A measure of central tendency is a measure that tells us where the middle of a bunch of data lies. • The three types of central tendency are: 1. Mean 2. Median 3. Mode
Mean • The mean (average) of a set of numbered items is the sum of the items divided by the number of items.
Example • Find the mean 15, 23, 24, 18, 25
Example • Find the mean 0. 5, 0. 2, 0. 6, 0. 3, 1. 3, 0. 8, 0. 1, 0. 5
Median • The median of a set of number in numerical order is the middle number. – If the number of items is odd, the median is the middle number – If the number of items is even, the median is the mean of the two middle numbers.
Example • Find the median 15, 23, 24, 18, 25
Example • Find the median 0. 5, 0. 2, 0. 6, 0. 3, 1. 3, 0. 8, 0. 1, 0. 5
Mode • The mode is a set of number is the number or numbers that occurs most often. – It is possible for a set of number to have more than one mode or to have no mode.
Example • In a mathematics class, the following test scores were recorded for a student. 93, 85, 89, 79, 88, 91 Find the mean, median, and mode.
Example • In a mathematics class, the following test scores were recorded for a student. 76, 86, 54, 90, 78, 62, 59, 86, 92, 51 Find the mean, median, and mode.
Example • Below are the grades for a student for a particular semester. Use the other table to find the grade point average (mean).
Example • Below are the grades for a student for a particular semester. Use the other table to find the grade point average