Question

For the z-score for the 11.6 data point

Answer 1

z = 1.3345

Explanation:

The z-score for a given data point, say x, from a normal distribution with a given mean and population standard deviation is usually calculated using the formula;

`z=(x-mean)/(standard deviation)`

The following information is available;

mean = 7

population standard deviation = 3.522

x = 11.7

We simply employ the above formula to determine the z-score associated with the 11.7 data point;

`z=(11.7-7)/(3.522)=1.3345`