A bar graph is the best choice for displaying categorical data, like days of the week, along with their frequencies (how often students wake up after 8 AM on each day). Each bar represents a different category (day) and the height shows the number of students.

• A histogram is for continuous numerical data grouped into ranges.
• A pie graph shows parts of a whole but is less effective for comparing many categories.
• A scatterplot is used to show relationships between two numerical variables.

If one friend eats ½ of the pizza, ½ remains. The remaining ½ is divided equally among the other three friends.

So, each of the other three friends receives:

1/2 ÷ 3 = 1/2 × 1/3 = 1/6

This is a net force question involving opposite directions. Since the forces act in opposite directions, you subtract the smaller force from the larger:

190 N (west) – 165 N (east) = 25 N (net force toward the west)

Because the dog’s force is greater and it’s toward the west, the net force is 25 N west.

To order numbers from least to greatest, start with the most negative value and move toward the most positive.

• -271.906 is the smallest (most negative)
• -193.823 comes next
• 145.884 is a positive number and less than
• 235.971, which is the greatest

Displacement is the net change in position. Since the truck first goes 180 km north and then 75 km south, subtract:

180 km – 75 km = 105 km

The direction is north, since the northward travel was greater.