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Find the mean

The arithmetic mean is found by dividing the sum of all data values by the number of values; it represents the equal share each observation would receive if the total were redistributed evenly and serves as a balance point for the data set. The mean can be calculated and interpreted for data involving whole numbers, decimals, or simple fractions, and an extreme value can change it substantially; weighted means and advanced statistical inference are beyond this scope.

Detailed Explanation: Find the mean

The mean is the equal-share value of a data set.

To find it:

  1. Add all the data values.
  2. Count how many values there are.
  3. Divide the sum by the number of values.

Example

A student reads for these numbers of minutes over 5 days:

20, 15, 25, 30, 1020,\ 15,\ 25,\ 30,\ 10

Step 1: Add the values.

20+15+25+30+10=10020+15+25+30+10=100

Step 2: Count the values.

There are 55 numbers.

Step 3: Divide the sum by the number of values.

Mean=1005=20\text{Mean}=\frac{100}{5}=20

The mean is 20 minutes.

This means that if the total reading time, 100100 minutes, were shared equally across the 5 days, each day would have 2020 minutes.

Learn by doing: Find the mean

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Statistics - Solve for Mean


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