Question

Emily is a fifth-grade student who completed a standardized reading test. She scored one standard deviation above the mean score. How does the normal curve help you understand what this means about how your child compares to other children who took the test? Explain how you determined your findings. How many children scored lower than your child? How many scored higher?

Answer 1

Given:
Z = (

= 1

Table of Area Under Stanard Normal Curve gives area = 0.3413

So,

Number of chldren scored lower than Emily = 0.5 + 0.3413 = 0.8413 = 84.13 %

Number of children scored higher than Emily = 0.5 - 0.3413 = 0.1587 = 15.87 %

The above result can be put in paragraph form as follows:

The Normal Curve helps to understand Emily is above average as compared with other children who took the test. Emily is around 84th percentile rank in the class. i.e., 84 % of children got less marks than Emily. Only around 16 % of children got above Emily.