Statistics

Lists, one- and two-variable statistics, regression and distributions.

• Enter data into a listType a set of numbers into a list so you can summarise, plot or fit them.
• Find the mean and spread of one listGet the count, sum, mean and standard deviation of a list of numbers in one go.
• Summarise paired data (x and y)Get the means, spreads and cross-product sum for two lists of numbers that go together.
• Fit a straight line to dataFind the least-squares line y = ax + b that best matches a set of points.
• Fit a parabola to dataFind the curve y = ax² + bx + c that best matches points that bend.
• Fit an exponential curve to dataFind y = a·b^x for data that grows or shrinks by a steady factor.
• Measure how strongly two lists are relatedFind the correlation coefficient r, which runs from -1 (perfect downhill) to +1 (perfect uphill).
• Find the mean, median and modeWork out the average (mean), the middle value (median) and the most common value (mode) of a list.
• Find the standard deviationMeasure how spread out a list is, using the sample or the population formula.
• Use frequencies (how many times each value occurs)Enter each value once with a count beside it instead of typing it over and over.
• Find a probability on a normal curveWork out the chance that a normally distributed value lands between two numbers.
• Find the value for a given percentileGo backwards from an area on the normal curve to the number that cuts it off.
• Binomial probabilitiesFind the chance of getting exactly a certain number of successes in a fixed number of tries.
• Poisson probabilitiesFind the chance of a certain number of events in a fixed time or space, given their average rate.
• Generate random numbersGet a random decimal between 0 and 1, or a random whole number in a range such as a dice roll.
• Count arrangements and selections (nPr and nCr)Count how many ways to arrange or choose items from a group.
• Calculate a factorialMultiply a whole number by every whole number below it, such as 6! = 720.
• Draw a scatter plotPlot paired data as dots so you can see whether a pattern is there.
• Sort a list from smallest to largestPut the numbers in a list in order, which makes the median and mode easy to spot.
• Find a weighted meanAverage values when some count for more than others, such as graded work with different weights.