Question

use the accompanying table of z - scores and percentiles to find the percentage of data items in a normal distribution that lie a. below and b. above a z - score of 2.0.

click the icon to view the table of z - scores and percentiles.

a. the percentage of data items that lie below the z - score is 97.72%.

(round to two decimal places as needed.)

b. the percentage of data items that lie above the z - score is

(round to two decimal places as needed.)

Explanation:

Step1: Recall total percentage

In a normal distribution, the total percentage of data is 100%.

Step2: Calculate percentage above

Subtract the percentage below (97.72%) from 100%: $100 - 97.72 = 2.28$

Answer:

2.28