Grade 6 Math · Probability and Statistics

Virginia SOL 6.PS.2

Virginia SOL 6.PS.2 is part of the Probability and Statistics strand in Grade 6 Math (Math). Under this Standards of Learning objective, students represent the mean as a balance point and determine the effect on statistical measures when a data point is added, removed, or changed. Below is what 6.PS.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 6.PS.2 for the Virginia SOL test.

What SOL 6.PS.2 means

Represent the mean as a balance point and determine the effect on statistical measures when a data point is added, removed, or changed.

Practice Grade 6 Math SOL questions

Free Grade 6 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 6.PS.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. A rectangle and a shaded triangle have the same base of 6 units and the same height of 3 units. The triangle occupies exactly half the area of the rectangle. The area, in square units, of the shaded triangle can be represented as —

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    Answer: G — (0.5 * 3 * 6)

  2. 2. A class will collect data to determine which afterschool event is the favorite for students to attend. Which method would result in data most representative of the entire school population?

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    Answer: D — Survey every fifth student who enters the cafeteria during each lunch period.

  3. 3. Timothy ordered 150 sandwiches on Monday. A circle graph shows that turkey sandwiches make up about one-third of the total. Which is closest to the total number of turkey sandwiches Timothy ordered?

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    Answer: H — 50

  4. 4. Porter recorded the lengths of 8 earthworms, rounded to the nearest inch. A circle graph shows: • 37.5% are less than 5 inches • 50% are between 5 and 6 inches • 12.5% are greater than 6 inches A line plot shows the same data, with X marks at 3, 4, 5, 5, 6, 6, 6, and 7 inches. What information can be determined from both the circle graph and the line plot?

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    Answer: C — The percent of earthworms greater than 6 inches long

→ Take the full free Grade 6 Math SOL practice test

Skills you’ll practice for 6.PS.2

  • Represent the mean of a data set graphically as the balance point in a line plot (dot plot).
  • Determine the effect on measures of center when a single value of a data set is added, removed, or changed.
  • Observe patterns in data to identify outliers and determine their effect on mean, median, mode, or range.

Key concepts covered by 6.PS.2

  • represent
  • mean
  • balance point
  • line plot
  • dot plot
  • determine
  • effect
  • measures of center
  • data set
  • added
  • removed
  • changed
  • observe
  • patterns
  • data
  • outliers
  • median
  • mode
  • range

How to study and practice SOL 6.PS.2

Start with a quick diagnostic to see whether 6.PS.2 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.

→ Take the free Grade 6 Math SOL practice test

  • 6.PS.1Apply the data cycle with a focus on circle graphs.

Frequently asked questions about SOL 6.PS.2

What is Virginia SOL 6.PS.2?

SOL 6.PS.2 is a Grade 6 Math Standard of Learning in the Probability and Statistics strand. It expects students to represent the mean as a balance point and determine the effect on statistical measures when a data point is added, removed, or changed.

What skills does SOL 6.PS.2 cover?

SOL 6.PS.2 is assessed on 3 skills: represent the mean of a data set graphically as the balance point in a line plot (dot plot); determine the effect on measures of center when a single value of a data set is added, removed, or changed; observe patterns in data to identify outliers and determine their effect on mean, median, mode, or range.

What strand of Grade 6 Math is SOL 6.PS.2 in?

SOL 6.PS.2 belongs to the Probability and Statistics reporting strand of the Grade 6 Math Virginia Standards of Learning.

How do I study and practice for SOL 6.PS.2?

Start with a diagnostic to see whether 6.PS.2 is already solid, then work the 3 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.