Mean, Median, Mode

Student Question

Can you explain mean, median, and mode to me?

Sia Response

The mean is the average of all numbers, the median is the middle value when the numbers are ordered, and the mode is the most frequently occurring number.

Solution

• Step 1 - Mean: To find the mean of a set of numbers, add all the numbers together and then divide by the count of the numbers. The formula for the mean is: ( \mu = \frac{\sum_{i=1}^{n} x_i}{n} ), where ( \mu ) is the mean, ( x_i ) represents each number in the set, and ( n ) is the total number of values in the set.
• Step 2 - Median: To find the median, first arrange all the numbers in the set in ascending order. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
• Step 3 - Mode: To find the mode, identify the number that appears most frequently in the set. A set of numbers may have one mode, more than one mode, or no mode at all if no number repeats.

Key Concept

Mean, median, and mode are measures of central tendency in a dataset.

Explanation

The mean provides an average value, the median gives the central value, and the mode indicates the most common value in a dataset.

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