To calculate the sample mean through spreadsheet software and calculators you can use the formula. Enter the chosen values of x 1 and if required x 2 then press Calculate to calculate the probability that a value chosen at random from the distribution is greater than or less than x 1 or x 2 or lies between x 1 and x 2. And so essentially we want to know the probability-- the Z-table.
In Note 65 Example 1 in Section 61 The Mean and Standard Deviation of the Sample Mean we constructed the probability distribution of the sample mean for samples of size two drawn from the population of four rowers.
The calculator above computes the other case where the events A and B are not mutually exclusive. The average jumping distance for males between the ages of 20 to 30 is 65 feet with a standard deviation of 0523 feet. Let x be a continuous random variable that has a normal distribution with a mean of 71 and a standard deviation of 15. For some variables it is easy to calculate the cumulative distribution Fx.
