Statistical Measures

Survey and Mode

• Mode is useful when analyzing survey data with identical values.

• Mode is the average of all survey responses.

• Mode is the most frequently occurring value in a dataset.

• Mode is irrelevant in survey data analysis.

Mean

• The average of a set of numbers, calculated by adding them together and dividing by the count of numbers.

• The middle value in a list of numbers when they are arranged in order.

• The most frequently occurring number in a set of numbers.

• The difference between the highest and lowest values in a set of numbers.

Mean as a balance

• is another name for mean, you manipulate pieces of data to find the middle of your data.

• is the average of a set of numbers, calculated by adding them together and dividing by the count.

• is a statistical measure that represents the most frequently occurring value in a dataset.

• is a method used to find the range of a dataset by subtracting the smallest value from the largest.

Outlier

• A data item that is much greater or much less than the other numbers in the set.

• A data point that is exactly the average of the dataset.

• A data item that is repeated multiple times in the dataset.

• A data point that falls within the normal range of the dataset.

Using Mean with No Outliers

• Mean is effective for data sets with extreme low or high numbers.

• Mean works well for data sets when there is no extreme low or extreme high numbers.

• Mean is the best measure for all types of data sets.

• Mean should always be used regardless of outliers.

When to use Mode

• Use mode when a number repeats in the data set.

• Use mode when all numbers are unique.

• Use mode when calculating the average of a data set.

• Use mode when the data set is small.

When to use Median

• Use median when there is an outlier in the data set.

• Use median when the data is normally distributed.

• Use median when the data set is small and has no outliers.

• Use median when you want to find the average of the data set.

Example of Outlier

• In the set 25, 21, 0, 20, 26, 19 the number 0 is an outlier.

• In the set 10, 12, 14, 15, 100 the number 100 is an outlier.

• In the set 5, 7, 8, 9, 10 the number 9 is an outlier.

• In the set 1, 2, 3, 4, 5 the number 5 is an outlier.

Types of Averages

• Mean, Median, and Mode

• Range, Variance, and Standard Deviation

• Sum, Difference, and Product

• Maximum, Minimum, and Average

When to use Mean

• Use mean to find the average if there is no mode and no outlier.

• Use mean when the data set has a clear mode.

• Use mean for data sets with extreme outliers.

• Use mean only for small data sets.