University:
High School
Course:
High School Mathematics
Academic year:

2022
Views:

164

Pages:

3
Author:

Sabbelig2u

Measures of Center & Variation Core Concepts measure of center a measure that represents the center of a set of data mean or median or mode mean average 19, 17, 11, 14, 6, 11 add up total 19 + 17 + 11 + 14 + 6 + 11 = 78 78 / 6 = 13 median middle when lined up 6, 11, 11, 14, 17, 19 11 + 14 / 2 = 12.5 mode "most" frequently occurring 19, 17, 11, 14, 6, 11 if 19, 17, 11, 14, 6, 11, 14 11 and 14 outlier a # that is extremely too high or low compared to the others " " might be an outlier measure of variation a measure that describes the spread" of the data range 19, 17, 11, 14, 6, 11 difference from highest to lowest 19 - 6 = 13 standard deviation 19, 17, 11, 14, 6, 11 measure of each number to the mean x mean difference (difference)^2 19 13.4 5.6 31.36 17 13.4 3.6 12.96 11 13.4 -2.4 5.76 14 13.4 0.6 0.36 6 13.4 -7.4 54.76 11 13.4 -2.4 5.76 Total Sum = 110.96 110.96 / 6 = 18.49 √18.49 = 4.3004 is the Standard Deviation 11.1 Extra Practice Consider the data set: 2, 5, 16, 2, 2, 7, 3, 4, 4 a. Find the mean, median, and mode of the data set. 2+5+16+2+2+7+3+4+4 = 45 45/9 = 5 2,2,2,3,4,4,5,7,16 mode = most occurring = 2 median = 4 b. Determine which measure of center best represents the data. Explain. median = 4 would be the best representation of a center for this data set. Since it is in the middle of the data. The table shows the masses of eight gorillas. Masses (kilograms) 160 157 162 158 44 160 159 161 a. Identify the outlier. How does the outlier affect the mean, median, and mode? 44 Mean is affected the most by an outlier. Median is barely touched. Mode is not changed. b. Describe one possible explanation for the outlier. maybe it's the baby The heights of the members of two girls' basketball teams are shown. Find the range of the heights for each team. Compare your results. Team A Heights (inches): 58, 75, 60, 48, 56, 78, 60, 57, 54, 59 78 - 48 = 30 inches. Team B Heights (inches): 49, 50, 70, 56, 58, 66, 64, 57, 62, 63 70 - 49 = 21 inches Team A has the tallest person on the team and the range is bigger than Team B, m