DPSR Strand Benchmark Check

This strand began with collecting data. You learned that a sample sizeThe number of data values collected from a population to represent it in a data set. represents a larger populationThe entire group being studied, from which a smaller sample may be collected., and that a box plotA graph that displays a data set's five key values — lower extreme, lower quartile, median, upper quartile, and upper extreme — using a box and two whiskers. displays five key values: the lower extremeThe least value in a data set., a quartileOne of three values that divide an ordered data set into four equal-sized parts., the medianThe middle value of a data set when the values are placed in order from least to greatest., another quartile, and the upper extremeThe greatest value in a data set.. You learned to read a graph's shape, calling it skewA data distribution that leans more to one side, with a longer tail stretching toward the higher or lower values., symmetricA data distribution shaped about the same on both sides of its center., uniformA data distribution in which every value or interval occurs about the same number of times., or bimodalA data distribution with two separate peaks, or two values that occur most often., and to spot an outlierA data value that is much greater or much less than the rest of the data set. when one showed up. From there you calculated the modeThe value or values that occur most often in a data set., the rangeThe difference between the greatest and least values in a data set., and the interquartile rangeThe difference between the upper quartile and the lower quartile; it describes the spread of the middle half of a data set., choosing median or mode based on a graph's shape.

The second half of the strand turned to probability. You learned to describe an event as certainAn event that will always happen. Its probability is 1, or 100%., impossibleAn event that can never happen. Its probability is 0, or 0%., likelyAn event that has a good chance of happening — more likely than not, though not guaranteed., unlikelyAn event that has a small chance of happening — less likely than not, though still possible., or equally likelyTwo or more outcomes that have the exact same chance of happening., then calculated the exact probabilityA number from 0 to 1 (or 0% to 100%) that tells how likely an event is to happen, found as favorable outcomes over total outcomes. of a simple eventAn event made up of a single outcome, or a small set of favorable outcomes, from all the possible outcomes in a situation.. Finally, you learned the complement rule for a complementary eventThe event that everything that is NOT the original event happens instead; P(not A) = 1 − P(A).. Every one of these ideas is a tool in the same toolkit, and today's benchmark checks that you can reach for the right one without being told which.

Adapted from Studio Aletheia's The Center for Quantitative Studies curriculum library, drawing on mathematical resources and the SC CCR Mathematics Standards.