Mathematics, 18.09.2019 22:50 datboyjulio21

What percentage of the general us population have bachelor's degrees? the statistical abstract of the united states (120th edition), gives the percentage of bachelor's degrees by state. for convenience, the data are sorted in increasing order.17, 18, 18, 18, 19, 20, 20, 20, 21, 2121, 21, 22, 22, 22, 22, 22, 22, 23, 2324, 24, 24, 24, 24, 24, 24, 24, 25, 2626, 26, 26, 26, 26, 27, 27, 27, 27, 2728, 28, 29, 31, 31, 32, 32, 34, 35, 38 find the interquartile range

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Answer from: elizaa94

First, we find the first quartile, Q_1

is the number below which 25% of the data are.

Given the data set:
17, 18, 18, 18, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 28, 28, 29, 31, 31, 32, 32, 34, 35, 38

There are 50 numbers in the data set. Dividing the data set into two halves, we have the first half as:
17, 18, 18, 18, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 24, 24, 24, 24, 24

Furthe dividing the first half of the data into two gives:
17, 18, 18, 18, 19, 20, 20, 20, 21, 21, 21, 21, | 22, | 22, 22, 22, 22, 22, 23, 23, 24, 24, 24, 24, 24

This gives the number '22' as the middle number and hence, the first quatile.

Doing similar process to the second half of the data gives the number '27' as the middle number and hence the upper quartile, Q_3

is the number above which 25% of the data are.

Interquartile range is given by Q_3-Q_1=27-22=5

Answer from: Quest

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

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