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swat32
3 years ago
10

12. Make a box-and-whisker plot of the data. (1 point)

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

The box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.

<h3>What is the Box-and-whisker Plot?</h3>

The box-and-whisker plot is a plot that displays the minimum, maximum, median, lower and upper quartile of a data, which is termed as the five-number summary of a data.

Given the data, 20, 23, 28, 14, 13, 24, 18, 11, find the five-number summary:

  • Minimum - 11
  • Lower Quartile - 13.5
  • Median - 19
  • Upper Qaurtile - 23.5
  • Maximum - 28

Therefore, the box-and-whisker plot of the data, showing the five-number summary, is shown in the image atatched below.

Learn more about box-and-whisker ploton:

brainly.com/question/12343132

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Hello I need help with this immediately please see attached image thank you so much I will give Brainliest
erma4kov [3.2K]

Note that while the figure is made up of rectangle and parallelogram, then the area of this figure

A_{figure}=A_{rectangle}+A_{parallelogram}.

1. The area of rectangle is

A_{rectangle\ ABCF}=AB\cdot BC.

The vertices of rectangle are points A(-2,-2), B(0,-6), C(8,-2) and F(6,2). Then

AB=\sqrt{(-2-0)^2+(-2+6)^2}=\sqrt{4+16}=\sqrt{20}=2\sqrt{5},\\ \\BC=\sqrt{(8-0)^2+(-2+6)^2}=\sqrt{64+16}=\sqrt{80}=4\sqrt{5}.

Therefore,

A_{rectangle\ ABCF}=2\sqrt{5}\cdot 4\sqrt{5}=8\cdot 5=40\ un.^2

2. The area of parallelogram can be calculated using formula

A_{parallelogram\ FCDE}=\text{base}\cdot \text{height}.

The base of parallelogram is segment CD with length

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and the height has length 2 un. Then

A_{parallelogram\ FCDE}=5\cdot 2=10\ un^2.

3. Now

A_{figure}=40+10=50\ un.^2

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