Question 1

Given the temperatures $$-12, -4, -8, 21, 18, 9$$ recorded over six nights in Minneapolis, what is the mean temperature?

Accepted Answer

$$4^\circ F$$

Question 2

For the same set of temperatures $$-12, -4, -8, 21, 18, 9$$, what is the median temperature?

Accepted Answer

$$2.5^\circ F$$

Question 3

Which of the following best describes the domain of the relation $$S = \{(20, 1.2), (20, 1.1), (40, 1.5), (40, 1.6)\}$$?

Accepted Answer

$$\{20, 40\}$$

Question 4

Which quadrant does the point $$(-2, 3)$$ lie in on the Cartesian plane?

Accepted Answer

Quadrant II

Question 5

What is the distance between the points $$(3, -4)$$ and $$(-2, 7)$$? Round your answer to the nearest hundredth.

Accepted Answer

$$\sqrt{146} \approx 12.08$$

Question 6

Given the endpoints $$(6, -7)$$ and $$(-4, 6)$$, what is the midpoint of the segment connecting them?

Accepted Answer

$$(1, -\frac{1}{2})$$

Question 7

Which of the following is the correct formula for the distance $$d$$ between two points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$) in $$the $$xy-$$plane?

Accepted Answer

$$d = \sqrt{(x_2$ - x_1$)^2$$ + ($$y_2$$ - $$y_1)^2$}$$

Question 8

A scatterplot is best described as:

Accepted Answer

A graph in the $$xy-$$plane where distinct points are plotted

Question 9

If a relation $$S = \{(5, 10), (5, -5), (-10, 10), (0, 15), (-15, -10)\} is $$plotted, what is the range?

Accepted Answer

$$\{-10, -5, 10, 15\}$$

Question 10

Which of the following best describes a line graph?

Accepted Answer

A graph where consecutive data points in a scatterplot are connected with straight-line segments

Question 11

Given the formula for the midpoint $$M of a $$segment with endpoints $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$, which is correct?

Accepted Answer

$$M = \left( \frac{x_1$ + x_2$}{2}, \frac{y_1$ + y_2$}{2} \right)$$

Question 12

A city tracks average monthly precipitation. If the scatterplot shows a steady decrease from January to July and then an increase to December, what type of graph would best show this trend?

Accepted Answer

A line graph

Question 13

Which of the following is NOT a property of the Cartesian coordinate plane?

Accepted Answer

The horizontal axis is called the y-axis

Question 14

If you are given the points $$(1, 2)$$ and $$(1, -2)$$, what is the distance between them?

Accepted Answer

$$4$$

Question 15

Which of the following best describes the range of a relation?

Accepted Answer

The set of all y-values in the relation

Question 16

A biologist records the heights of plants as $$(2, 5), (3, 7), (4, 9). $$What is the domain of this relation?

Accepted Answer

$$\{2, 3, 4\}$$

Question 17

If the midpoint of a segment is $$(0, 0)$$ and one endpoint is $$(2, 4)$$, what is the other endpoint?

Accepted Answer

$$(-2, -4)$$

Question 18

Which of the following is a correct interpretation of the median in a data set?

Accepted Answer

It is the value that separates the higher half from the lower half of the data

Visualizing and Graphing Data: Foundations for College Algebra

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