← SSAT® Upper Level

Tables, Graphs, Trends and Probability

Frequencies, interpretation of tables and graphs, trends and inferences, and the simple probability and statistics E3n lists in the same sub-score.

9 topics · 36 questions

Each topic is a path, not a menu: work down it in order and every question builds on the one above. Click any of them to watch the answer draw itself.

Interpretation of Tables

  1. How it worksHow does a row and column layout let you read one value and total a whole row in the same glance?
  2. Worked exampleWalk me through a table of four students' marks on three tests to find who improved the most.
  3. Going furtherWhat changes about reading a table when one column holds percents instead of plain counts?
Your turneasy1 of 3
A table lists one student's marks on three tests as 54, 63 and 94. By how much did the student improve from the first test to the third?

Bar Graphs and Line Graphs

  1. How it worksHow does the scale chosen for the vertical axis decide whether a change looks dramatic or trivial?
  2. Worked exampleFind the total rainfall from a bar graph showing 3, 5, 2, 6 and 4 inches over five months.
  3. Common mistakeWhy doesn't a bar graph whose axis starts at 80 show the true size of the gap between bars?
  4. Going furtherWhat happens to a line graph's shape when the same numbers are plotted by year instead of by month?
Your turneasy1 of 3
A bar graph shows monthly rainfall of 3, 5, 9, 6 and 4 inches. What is the total rainfall over the five months?

Circle Graphs and Percent of a Whole

  1. How it worksHow does a slice worth 25 percent open into a wedge of exactly 90 degrees?
  2. Worked exampleFind how many of 640 students picked soccer when its slice is 35 percent of the circle.
  3. Worked exampleFind the central angle of a slice worth 18 percent of a circle graph.
Your turneasy1 of 3
A circle graph shows that 35 percent of 748 students picked soccer. How many students is that?

Frequencies and Frequency Tables

  1. How it worksHow do tally marks pile up into the bars of a histogram one observation at a time?
  2. Worked exampleFind the mean from a frequency table where 4 students scored 7, 6 scored 8 and 2 scored 10.
  3. Worked exampleFind the mode and the range of the scores 6, 6, 7, 8, 8, 8, 9, 10 laid out by frequency.
  4. Common mistakeWhy isn't the tallest bar of a frequency table the average value of the data?
Your turnmedium1 of 3
A frequency table shows 9 students scoring 7, 6 students scoring 8 and 2 students scoring 10. What is the mean score?

Mean, Median, Mode and Range

  1. How it worksHow does the mean balance a set of numbers the way a seesaw balances under its pivot?
  2. Worked exampleFind the mean, median, mode and range of 4, 7, 7, 9 and 13.
  3. Worked exampleFind the median of 3, 8, 12, 15, 20 and 21, where no single number sits in the middle.
  4. Common mistakeWhy isn't the median always one of the numbers actually in the list?
  5. Going furtherWhat happens to the mean and to the median when every value in a set is raised by 5?
Your turneasy1 of 3
What is the mean of 4, 7, 7, 9 and 31?

Missing-Value and Weighted Averages

  1. How it worksHow does average times count rebuild a total you can then pry a missing value out of?
  2. Worked exampleFind the mark needed on a fifth test to lift an average of 82 across four tests up to 85.
  3. Worked exampleFind the missing number when 6, 11, x and 15 have a mean of 12.
Your turnmedium1 of 3
A student averages 82 across four tests. What must she score on a fifth test to raise the average to 92?

Simple Probability

  1. How it worksHow does counting favorable outcomes over total outcomes turn a question of chance into a fraction?
  2. Worked exampleFind the chance of drawing a red marble from a bag holding 5 red, 7 blue and 4 green.
  3. Worked exampleFind the probability that one roll of a fair die shows a number greater than 4.
  4. Common mistakeWhy doesn't a coin that has landed heads five times running owe you a tails next?
  5. Going furtherWhat is the chance of an event NOT happening once you know the chance that it does?
Your turneasy1 of 3
A bag holds 11 red marbles, 7 blue and 4 green. What is the probability of drawing a red one?

Compound Probability and Tree Diagrams

  1. How it worksHow does a probability tree multiply along each branch and then add across the finished paths?
  2. Worked exampleFind the chance of flipping two heads in a row with a fair coin by drawing the tree.
  3. Worked exampleFind the chance of drawing two reds in a row from 4 red and 6 blue marbles with no replacing.
  4. How it worksHow does the counting principle turn 4 shirts and 3 pairs of pants into 12 different outfits?
  5. Common mistakeWhy doesn't the chance of two events happening come from adding their two probabilities?
Your turneasy1 of 3
A shop stocks 9 shirt styles and 3 styles of trousers. How many different outfits can be made?

AP®, SAT® and PSAT/NMSQT® are trademarks registered by the College Board (PSAT/NMSQT® jointly with the National Merit Scholarship Corporation). ACT® is a registered trademark of ACT Education Corp. GRE® is a registered trademark of ETS. LSAT® is a registered trademark of the Law School Admission Council. MCAT® is a registered trademark of the Association of American Medical Colleges. ISEE® and SSAT® are registered trademarks of their owners. None of these organizations is affiliated with, or endorses, Jentoo.