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Maximum
Input: max({x, y, z, …})
Description: Finds the maximum of a list of numbers. The maximum is the largest value in a set
of data.
Example 1: max({1, 2, -4, 5, 0}) = 5. Five is the largest value in this set of data.
Example 2: max(primeSet(12)) = 3. The largest number in the prime set of 12 is 3.
Arithmetic Mean
Input: mean({x, y, z, …})
Description: Finds the arithmetic mean of a list of numbers. Also called the average, the mean is
the sum of the values divided by the number of values used in computing the sum.
Example: mean({1, 4, 0, 7, 7}) = 3.8. The sum of the list is 19; the mean is 19 ÷ 5 = 3.8.
Median
Input: median({x, y, z, …})
Description: Finds the median of a list of data. For an odd number of data arranged in order the
median is the middle number. For an even number of data arranged in order the median is the
average of the two middle numbers.
Example: median({1, 4, 0, 7, 7}) = 4. When the data is arranged in order, the middle number is 4.
Minimum
Input: min({x, y, z, …})
Description: Finds the minimum of a list of numbers. The minimum is the smallest value in a set
of data.
Example 1: min({1, 2, -4, 5, 0}) = -4. Negative 4 is the smallest value in this list of data.
Example 2: min(primeSet(12)) = 2. The smallest number in the prime set of 12 is 2.
Mode
Input: mode({x, y, z, …})
Description: Finds the mode or modes of a list of data. The mode is the number or numbers that
occurs most frequently in a set of data. If no number occurs more often than any other number, the
set of data has no mode.
Example: mode({1, 4, 0, 7, 7}) = {7}. In this set of data 7 occurs most frequently. It is the mode.
Random Number
Input: rand(m, n)
Description: Finds a random integer k in the range m <= k < n (or n <= k < m, if n < m).
Example: rand(56, 12) = 49. The number forty-nine is a random integer between 56 and 12.
Population Standard Deviation
Input: stdP({x, y, z, …})
Description: Finds the population standard deviation of a list of numbers. The standard deviation
is equal to the square root of the variance.
Example: stdP({1, 4, 0, 7, 7}) = 2.93. The standard deviation is the square root of the variance.
Sample Standard Deviation
Input: stdS({x, y, z, …})
Description: Finds the sample standard deviation of a list of numbers. The standard deviation is
equal to the square root of the variance.
Example: stdS({1, 4, 0, 7, 7}) = 3.27. The standard deviation is the square root of the variance.
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