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

2022
Views:

432

Pages:

4
Author:

Kenyon Arroyo

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 teams and the range is bigger than Team B... meaning there is a bigger height "difference" Certainly! Here's the breakdown of the image you provided: Textual Content: 1.3 Extra Practice In Exercises 1-10, solve the equation. Check your solution. 12 - 3x = -6x 12 - 3x = -6x +3x +3x 12 = -3x 12 / -3 = -3x / -3 -4 = x 7 - 5z = 17 + 5z 7 - 5z = 17 + 5z -5z -5z 7 - 10z = 17 -7 -7 -10z = 10 -10z / -10 = 10 / -10 z = -1 3(k + 45) = 8k + 25 3k + 135 = 8k + 25 -3k -3k 135 = 5k + 25 -25 -25 110 = 5k 110 / 5 = 5k / 5 22 = k 4(8 - 3x) = 1 + 4(2x) 32 - 12x = 1 + 8x +12x +12x 32 = 1 + 20x -1 -1 31 = 20x 31 / 20 = 20x / 20 1.55 = x 5q + 6 = 2q - 2 + q 5q + 6 = 3q - 2 -3q -3q 2q + 6 = -2 -6 -6 2q = -8 2q / 2 = -8 / 2 q = -4 8 + (6x - 10x) = 16 - 8x 8 - 4x = 16 - 8x +8x +8x 8 + 4x = 16 -8 -8 4x = 8 4x / 4 = 8 / 4 x = 2