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

Learning Objectives Calculate the missing number in a data set given the mean. Determine the missing number in an ordered data set given the median. Identify potential missing numbers in a data set given the mode. Find the missing number in a data set given the range. Solve problems where two measures (e.g., mean and range) are provided to find a missing value. Set up and solve linear equations derived from the definitions of statistical measures. Analyze how a missing value affects the central tendency and spread of a data set. A basketball player has scored 25, 18, 22, and 30 points in their first four games. How many points do they need to score in the next game to have an average of 25 points per game? 🏀 This tutorial will teach you how to work backward to find a mis...

TermDefinitionExample Mean (Arithmetic Average)The sum of all values in a data set divided by the number of values.For the set {2, 3, 3, 5, 7}, the mean is (2+3+3+5+7)/5 = 20/5 = 4. MedianThe middle value in a data set that has been arranged in numerical order. If there is an even number of values, the median is the average of the two middle values.For the ordered set {2, 3, 3, 5, 7}, the median is 3. For {2, 3, 5, 7}, the median is (3+5)/2 = 4. ModeThe value that appears most frequently in a data set. A data set can have one mode, more than one mode, or no mode.For the set {2, 3, 3, 5, 7}, the mode is 3. RangeThe difference between the highest and lowest values in a data set. It measures the spread of the data.For the set {2, 3, 3, 5, 7}, the range is 7 - 2 = 5. VariableA symbol, usually...

Formula for the Mean Mean = \frac{\sum_{i=1}^{n} x_i}{n} To find a missing value 'x' when the mean is known, set up an equation where the sum of all numbers (including 'x') divided by the count of numbers (n) equals the given mean. Then, solve the resulting linear equation for 'x'. Formula for the Range Range = Maximum Value - Minimum Value If the missing value 'x' is either the maximum or minimum value of the set, you can find it using the given range and the known minimum or maximum. For example, if 'x' is the maximum, then x = Minimum Value + Range. Logic for the Median Median = Middle Value (for odd n) OR \frac{\text{Sum of two middle values}}{2} (for even n) To find a missing value using the median, first order t...