Applying the
Normal Curve
Concepts in
Problem Solving
1.
2.
Analysis Questions:
•
•
•
•
Ex. 1. The results of a nationwide aptitude test in
mathematics are normally distributed with 𝜇 = 80
and 𝜎 = 15. Find the raw score such that 70% of the
cases are below it.
Steps:
1.
2.
3.
4.
Ex. 2. Using ex. 1, what are the scores
that bound the middle 95% of the
distribution?
Ex. 3. The weights of 1000 children average
50kg and the standard deviation is 5 kg.
a. How many children weigh between 40kg
and 55kg?
Ex. 3. The weights of 1000 children average
50kg and the standard deviation is 5 kg.
a. How many children weigh between 40kg
and 55kg?
b. What is the probability that a child picked
at random , has a weight greater than 62kg?
Ex. 3. The weights of 1000 children average
50kg and the standard deviation is 5 kg.
a. How many children weigh between 40kg
and 55kg?
b. What is the probability that a child picked
at random , has a weight greater than 62kg?
c. How many children belong to the upper
15% of the group?