Mean, Median, Mode & Range Math 2: 6-6 Dividing Fractions & Mixed #’s Mean, Median, Mode & Range M/J Math 1 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2
Math 2: 6-6 Dividing Fractions & Mixed #’s The mean, or average, of a set of numbers is found by dividing the sum by the number of items in the data set. Ex.: {1, 1, 5, 2, 2, 4, 2, 5} 1+1+5+2+2+4+2+5= 22 = 2.75 8 The mean of this set of data is 2.75. Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2
Math 2: 6-6 Dividing Fractions & Mixed #’s The median is the middle number when the data are in order from least to greatest. Ex.: {7, 11, 15, 17, 20, 20, 25} Median = 17 If they are not in order you must put them in order first! Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2
Math 2: 6-6 Dividing Fractions & Mixed #’s If there are two numbers in the middle then you need to find their mean. Ex.: {7, 11, 15, 16, 17, 20, 20, 25} Median = 16 + 17 = 16.5 2 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2
The mode is the piece of data that occurs most often. Math 2: 6-6 Dividing Fractions & Mixed #’s The mode is the piece of data that occurs most often. Ex.: {7, 11, 15, 16, 17, 20, 20, 25} Mode = 20 If they all occur the same number of times there is NO mode. There can be more than one mode. Ex: {1, 1, 1, 2, 2, 2, 3, 4, 5}, the modes are 1 & 2. Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2
Math 2: 6-6 Dividing Fractions & Mixed #’s The range of a set of data is the difference between the highest and lowest values of the set. Example: In the set {4, 5, 6, 7, 10, 3, 2, 9, 7, 8}, the range would be; 10 – 2 = 8. Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2
Find the mean, median, mode & range for this set of data. Math 2: 6-6 Dividing Fractions & Mixed #’s Find the mean, median, mode & range for this set of data. {24, 30, 38, 33, 19, 24} 19+24+24+30+33+38= 168 = 28 Mean 6 24 + 30 = 27 Median 2 Range: 38 − 19 = 19 Mode: 24 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2
Find the mean, median, mode & range for this set of data. Math 2: 6-6 Dividing Fractions & Mixed #’s Find the mean, median, mode & range for this set of data. {8, 3, 9, 4, 6, 7, 5} 3+4+5+6+7+8+9= 42 = 6 Mean 7 6 Median Range: 9 − 3 = 6 Mode: None Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2
Find the mean, median, mode & range for this set of data. Math 2: 6-6 Dividing Fractions & Mixed #’s Find the mean, median, mode & range for this set of data. {42, 35, 27, 42, 38, 35, 29, 24} 24+27+29+35+35+38+42+42= 272 8 Mean: 34 35 + 35 = 35 Median 2 Range: 42 − 24 = 18 Modes: 35 & 42 Sunshine State Standards: MA.A.3.3.1-1, MA.A.3.3.1-3, MA.A.3.3.2-1, MA.A.4.3.1-2