LESSON 4 PART 2 PPT.pptx......................

mathematics

1. GOOD MORNING!!! HOW ARE YOU??

2. LET’S RECALL!!

3. GRADE 11 What does the normal distribution graph look like? 2. What are the properties of normal probability distribution?

4. GRADE 11 “FIND THE OBJECT”

5. LEARNING OBJECTIVES At the end of the lesson, the students should be able to: 1. find the area that corresponds to z; 2. follow the steps in finding the area that corresponds to z; and 3. realize the importance of z-table in finding specific area under the normal curve.

6. Steps in finding the area under the normal curve given a z-value: 1. Express the given z-value into a three-digit number. 2. Using the z-Table, find the first 2 digits on the first column.

7. Steps in finding the area under the normal curve given a z-value: 3. Find the third digit on the first row on the right. 4. Read the area for probability at the intersection of the row (first 2 digit number) and column (third digit number). The value observed at the intersection indicates the area of the given z-value.

8. GRADE 11 Example 1.   Find the area that corresponds to z=2. Finding the area that corresponds to z = 2 is the same as finding the area between z=0 and z= 2.

9. Example 2: Find the area that corresponds to z= – 2.5. The negative in the given z-value as z = – 2.5 indicates the location of where that area is in the curve. Since it is a negative, meaning the measurement X that corresponds to z = – 2.5 is located at the left side of the curve. Since the normal curve is symmetrical about the mean, therefore finding the area of z = – 2.5 is the same as finding the area of z = 2.5.

10. “STEP FORWARD” Directions: By following the steps provided below, find the area the corresponds to following z-value. 2.45 -1.15 2.36 0.8 -2.39

11. What is the importance of z-table in finding the specific area under the normal curve?

12. What are steps in finding the area under a normal curve given the z-value?

13. “MESSAGE FOR YOU” DIRECTION: Match the z-value given in column A to its corresponding area in column B. Then, identify the hidden message by filling in the letters indicated in column B to the corresponding number indicated in each blank below.

14. “ASSIGNMENT” Directions: By following the steps provided below, find the area the corresponds to following z-value. 1.43 -2.19 2.07 0.83 -1.31