The average of a distribution is equal to the summation of x divided by the number of observations is called____.

Solution:

The average of a distribution is equal to the summation of x divided by the number of observations is called Arithmetic mean or mean of observations.

Arithmetic mean formula = {Sum of Observations} / {Total number of Observations}

X = ∑(x\(_i\)/ n), where i varies from 1 to n.

Suppose we have the data points 14, 12, 13, 11, 15. The arithmetic mean of this distribution is required. We find the sum of the observations and divide them by the total number of observations. We have 5 observations: x\(_1\), x\(_2\), x\(_3\), x\(_4\) and x\(_5\).

Arithmetic mean = [14+ 12+ 13+ 11+15]/5 = 65/5 = 13

The average of a distribution is equal to the summation of x divided by the number of observations is called____.

Summary:

The average of a distribution is equal to the summation of x divided by the number of observations is called arithmetic mean.