Calculate the mean and the standard deviation of the following set of data: 4.578 g, 4.581 g, 4.572 g, 4.573 g, 4.601 g, 4.577 g. State the 68% and 95% confidence intervals for this data.

Respuesta :

Answer:

Mean: 4.580g - Standard Deviation: 10,65 - Interval 68% (4.569 - 4.590)

Interval 95% (4.559 - 4.601)

Explanation:

The Mean it's defined as the sum of the total values divided by the quantities of data.  Please see details bellow:

Sum(4.578 g, 4.581 g, 4.572 g, 4.573 g, 4.601 g, 4.577 g.) / 6 = 4.580g

To define the standard deviation it's needed to know if the data it's a sample or population because the number changes depending tha data, in this case it's asumed that the data it's a sample. The standard deviation it's 10.65g.

68% Interval it's defined as the mean minus/plus one standard deviation.

(4.569g - 4.590g)

95% Interval it's defined as the mean minus/plus two standard deviation.

(4.559g - 4.601g)