Mean, median, mode, and range: find the missing number

Learning Objectives Define and calculate mean, median, mode, and range for a given data set. Manipulate the mean formula to find a single missing data point. Determine a missing value in an ordered data set given its median. Identify a missing number that satisfies a given mode for a data set. Deduce a missing number that completes a data set with a specified range. Apply algebraic reasoning to solve for unknown values in statistical problems. Ever wondered how detectives solve mysteries? 🕵️‍♀️ Just like them, you'll learn to use clues (like the average or middle value) to find a hidden piece of information in a set of numbers! In this tutorial, you'll master the art of finding a missing number when you're given the mean, median, mode, or range of a data set....

TermDefinitionExample Data SetA collection of numbers or values that represent information about something.The data set {5, 8, 12, 15, 20} represents the number of points scored by a basketball player in five games. Mean (Average)The sum of all numbers in a data set divided by the count of numbers in the set. It's often called the average.For the data set {2, 4, 6}, the mean is (2+4+6)/3 = 12/3 = 4. MedianThe middle value in a data set when the numbers are arranged in order from least to greatest. If there are two middle numbers, the median is their average.For {3, 5, 8, 10, 12}, the median is 8. For {3, 5, 8, 10}, the median is (5+8)/2 = 6.5. ModeThe number that appears most frequently in a data set. A data set can have one mode, multiple modes, or no mode.For {2, 3, 3, 5, 7}, the m...

Mean Formula $\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Count of numbers}}$ To find a missing number using the mean, you can set up an equation where the sum of known numbers plus the missing number (x) divided by the total count equals the given mean. Then, solve for x. Range Formula $\text{Range} = \text{Maximum Value} - \text{Minimum Value}$ If the range is given, you can use this formula. If the missing number is either the maximum or minimum, substitute 'x' into the formula and solve. If 'x' is an intermediate value, the range is determined by the existing min and max, and 'x' must fall within that range. Finding the Median (Rule) 1. Order the data. 2. If the count of numbers is odd, the median is the middle number. 3. If t...