Which box-and-whisker plot represents the data set?

10, 5, 8, 14, 21, 7, 13, 17, 17

The distribution of the dataset given plotted using a box and whisker plot maker is attached below.

Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17

To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :

Using a boxplot maker, the following statistical measures are obtained for the dataset ::

Therefore, the box and whisker plot which shows the distribution of the data set is attached below.

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The 2 box-and-whisker plot is the correct one.

Step-by-step explanation:

The first step you need to do is write the numbers from least to greatest.

5, 7, 8, 10, 13, 14, 17, 17, 21. 5 and 21 will be the end points.

To make the box we need to find the median first. All you have to do is pick the middle number and it is 13. That just leaves box-and-whisker plots 2 and 3.

To find the first and third quartile, you need to take the other numbers from 13 to the left (10+8+7+5) and add them up then divide by 4 to get 7.5 and that is the first quartile.

To find the third quartile, you will go from 13 to the right (14+17+17+21) and divide by 4 to get 17.25.  

This equals the 2nd box-and-whisker plot.

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15