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2 years ago

Select the correct answer. Which statement is true about a dot plot?

Mathematics

1 answer:

Lemur [1.5K]2 years ago

5 0

Answer:

The statement that is true about dot plot is:

A dot plot shows the frequency of the individual values of any given data set

Step-by-step explanation:

A dot plot also known as a dot chart or a strip plot is just a display of the data depending upon the frequency of the values.

The dot plot is somewhat like the histogram but the difference is:

A histogram shows the frequency of an interval of values of any given data set.

for example:

we may make a histogram for the weight of students of a class.

since we may divide the weight of the students into some interval.

whereas the dot plot gives the frequency of the individual data points or discrete data points.

for example:

we may plot a dot plot for rolling a number cube 20 times.

Hence, the correct statement is:

A dot plot shows the frequency of the individual values or of any given data set.

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Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

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