Compare the following two sets of data by using box-and-whisker plots. Explain the similarities and differences between the two data sets. Set A = {56, 62, 71, 82, 92, 101, 106, 103, 97, 84, 68, 57} Set B = {36, 42, 48, 56, 63, 72, 78, 75, 69, 58, 46, 37}

After graphing you can see that There are many differences between the sets. In general for A, values are much higher, the mean median for the set A is above 80 whereas the median for B is below 60, the maximum of A is above 100 and the maximum for B is about 80.

Step-by-step explanation:

With python you can use this code to see the graph.

import pandas as pd

import seaborn as sns

dfA = pd.DataFrame()

dfB = pd.DataFrame()

dfA['Value'] = pd.Series([56, 62, 71, 82, 92, 101, 106, 103, 97, 84, 68, 57])

dfA['Letter'] = 'A'

dfB['Value'] = pd.Series([36, 42, 48, 56, 63, 72, 78, 75, 69, 58, 46, 37])

dfB['Letter'] = 'B'

df = pd.concat([dfA,dfB],axis = 0).reset_index(drop = True)

sns.boxplot(x = 'Letter', y = 'Value', data = df)

After graphing you can see that There are many differences between the sets. In general for A, values are much higher, the mean median for the set A is above 80 whereas the median for B is below 60, the maximum of A is above 100 and the maximum for B is about 80.

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.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: