Answer:
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Step-by-step explanation:
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Answer:
Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Step-by-step explanation:
<u>Interpreting Box Plots</u>
A box plot is used to present the 5-Number summary of a set of data.
The 5-Number summary consists of the following in their order of appearance on the box plot.
- Minimum Value
- First Quartile,

- Median,

- Third Quartile,

- Maximum Value
In the box plot, the following rules applies
- The whisker starts from the minimum value and ends at the first quartile.
- The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
- The end whisker starts at the third quartile and ends at the maximum value.
Using these, we interpret the given box plot
A left whisker extends from 1 to 6.
- Minimum Value=1
- First Quartile =6
The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.
- Median=12
- Thrid Quartile=16
The right whisker extends from 16 to 19.
Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Answer:
The equation of the graph is;
y = 4·x
Step-by-step explanation:
The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;
(-3, 12), and (2, 8)
The slope, m, of the straight line graph is given as follows;

Therefore, by substitution of the values, we have;

The equation of the graph in point slope form is therefore;
(y - 8) = 4×(x - 2)
y = 4·x - 8 + 8 = 4·x
y = 4·x.