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Explain mean, median, mode

Feb 20, 2024

Explain mean, median, mode

Solution by Steps

step 1

To understand the mean of a dataset, we calculate the sum of all the values and divide by the number of values. The formula for the mean is:

\mu = \frac{\sum_{i=1}^{n} x_i}{n}

where

\mu

is the mean,

x_i

represents each value in the dataset, and

n

is the number of values

step 2

To find the median, we first arrange the data in ascending order. If the number of values

n

is odd, the median is the middle value. If

n

is even, the median is the average of the two middle values

step 3

The mode is the value that appears most frequently in the dataset. A dataset may have one mode, more than one mode, or no mode at all if all values appear with the same frequency

Answer

The mean is the average of all values, the median is the middle value when the data is ordered, and the mode is the most frequently occurring value.

Key Concept

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

Explanation

The mean provides an average that summarizes the entire dataset, the median gives the middle point that divides the dataset into two halves, and the mode indicates the most common value(s) in the dataset.