Question

Calculate the mean and standard deviation and interpret your findings for the following set of data showing the diastolic blood pressure measurements for a sample of 9 individuals: 61, 63, 64, 69, 71, 77, 80, 81, and 95. On average, the average distance of an individual data point is approximately 10.93 diastolic pressure points from the mean diastolic pressure of 73.44. On average, the average distance of an individual data point is approximately 119.53 diastolic pressure points from the mean diastolic pressure of 73.44. On average, the average distance of an individual data point is approximately 10.93 diastolic pressure points from the mean diastolic pressure of 71. On average, the average distance of an individual data point is approximately 119.53 diastolic pressure points from the mean diastolic pressure of 71.

Answer 1

Given is the data set showing the diastolic blood pressure measurements for a sample which has 9 individuals.

61, 63, 64, 69, 71, 77, 80, 81, 95

So, formula for sample mean is:

Sample mean = 73.44.

Now, formula for sample standard deviation:

So, standard deviation = 10.932.

And variance (s²) = 119.527.

But when we check deviation among the data then we compare mean and standard deviation (for sample it is known as standard error) not mean and variance.

And as the value of standard deviation is less so that means range of sample data is not much.

Therefore, on an average, the average distance for an individual data value is approximately 10.93 diastolic pressure points from the mean value diastolic pressure of 73.44.