FSA Practice Progress Monitoring 1

• –2.45

• –2.95

• –9.95

• –10.05

Answer explanation

To convert -6.2 - 3 3/4 to decimal, first convert 3/4 to 0.75. Then, -6.2 - 3 - 0.75 = -6.2 - 3.75 = -9.95. Thus, the correct answer is -9.95.

• 4/5

• –1/10

• 3/5

• 7/10

Answer explanation

= 7/10.

Mathematical Equivalence

ON

Answer explanation

• 0.286

• 0.417

• 0.667

• 0.814

Answer explanation

The probabilities of four events are given. Which event is most likely to occur?

• event A

• event B

• event C

• event D

Answer explanation

Event A has the highest probability among the four events at 80%, making it the most likely to occur. The other events have lower probabilities, which means they are less likely to happen compared to event A. Event B is 37.5%, Event D is 75%.

A proportional relationship is graphed and goes through the point (1.5, 12). Which point is also on the graph?

• (2, 14)

• (3, 27)

• (4, 32)

• (6, 45)

Answer explanation

To find a point on the graph, we use the proportional relationship. The ratio from (1.5, 12) is 12/1.5 = 8. For (4, 32), 32/4 = 8, which matches. Thus, (4, 32) is on the graph, while the others do not maintain the same ratio.

Which experiments have a sample space of 5 outcomes? Select all that apply.

• randomly selecting a marble from a bag that contains 5 red marbles

• flipping a fair coin 5 times

• spinning a spinner with five unequal sections labeled from 1 to 5

• randomly selecting a letter from the word GRAPE

• randomly selecting a card from a deck that contains 5 Aces, 5 Kings, 5 Queens, 5 Jacks, and 5 Jokers.

Answer explanation

The experiments with a sample space of 5 outcomes are: selecting a marble from 5 red marbles (1 outcome), flipping a coin (2 outcomes), spinning a spinner with 5 sections (5 outcomes), selecting Aces, Kings, Queens, Jacks, and Jokers (5 outcomes) and selecting a letter from GRAPE (5 letters).

The histogram shows the weights of packages shipped by a company. Which statements describe the data? Select all that apply.

• The measure of center that best describes the data is the mean.

• The measure of center that best describes the data is the median.

• The measure of variation that best describes the data is the range.

• The measure of variation that best describes the data is the interquartile range.

• The distribution of the data is symmetric.

Answer explanation

The median is less affected by outliers than the mean, making it a better measure of center for skewed data. The interquartile range effectively captures the spread of the middle 50% of the data, providing a robust measure of variation.

Aaron is filling a large water tank. After several minutes, he determines that the equation y = 17x can be used to represent the number of gallons y in the tank after x minutes. Graph the proportional relationship on the coordinate plane.

Answer explanation

A proportional graph must go through the origin so put one point on (0, 0).

The constant of proportionality or until rate is 17 or 17/1. So, for the second point, we will go over 1 and up 17.

The stem-and-leaf plot shows the test scores of a recent exam. Which statements describe the data? Select all that apply.

• The measure of variation that best describes the data is the range.

• The measure of center that best describes the data is the mean.

• The measure of center that best describes the data is the median.

• The data does not show an outlier.

• The measure of variation that best describes the data is the interquartile range.

Answer explanation

The median is the best measure of center for skewed data, while the interquartile range effectively describes variation by focusing on the middle 50% of scores, making them the correct choices.