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In this example, $\overline{X}_n$ represents the sample mean of $n$ repeated trials of the 100-toss experiment. It is the arithmetic average of the results (number of heads) from each of the $n$ repetitions.

Conditions: Repeated trials of the same experiment.; Each trial produces a numerical observation.; $n$ is the number of trials.

In this example, $\overline{X}_n$ represents the sample mean of $n$ repeated trials of the 100-toss experiment. It is the arithmetic average of the results (number of heads) from each of the $n$ repetitions.

Conditions: Repeated trials of the same experiment.; Each trial produces a numerical observation.; $n$ is the number of trials.

The first three running averages are 55, 60, and 55. The first average is just the first observation (55).

Conditions: Observations are 55, 65, and 45.; The sample mean is calculated cumulatively.

The first three running averages are 55, 60, and 55. The first average is just the first observation (55).

Conditions: Observations are 55, 65, and 45.; The sample mean is calculated cumulatively.