What is the mean of reported heights listed in the table below? number reported height measured height difference description 1 61 62 -1 under reported 2 68 68 0 accurately reported 3 57.5 56.5 1 over reported 4 48.5 47 1.5 over reported 5 75 72 3 over reported 6 65 65 0 accurately reported 7 80 78 2 over reported 8 68 67 1 over reported 9 69 69.5 -0.5 under reported 10 63 62.5 0.5 over reported 64.75 65.125 65.5 66.5

The 10 values of reported height are ...

... 61, 68, 57.5, 48.5, 75, 65, 80, 68, 69, 63

Their total is 655, so their average is 655/10 = 65.5 . . . . . your 3rd selection

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.