
Normal distribution
Presentation
•
Mathematics
•
11th Grade
•
Practice Problem
•
Medium
Standards-aligned
Rizki Alfath
Used 14+ times
FREE Resource
17 Slides • 15 Questions
1
Normal Distribution
2
a) Normal Distribution
3
a) Normal Distribution
4
a) Normal Distribution
5
a) Normal Distribution
6
a) Normal Distribution
7
Multiple Choice
Given that:
μ = 56 and σ = 7
Find the standardized score for a raw score of 70.
z = 0
z = 1.5
z = –0.5
z = 2
8
Multiple Choice
Given that:
μ = 56 and σ = 7
Find the standardized score for a raw score of 52.5.
z = 0
z = 1.5
z = –0.5
z = 2
9
Multiple Choice
Given that:
μ = 56 and σ = 7
Find the standardized score for a raw score of 66.5.
z = 0
z = 1.5
z = –0.5
z = 2
10
Multiple Choice
Given that:
μ = 56 and σ = 7
Find the standardized score for a raw score of 56.
z = 0
z = 1.5
z = –0.5
z = 2
11
Multiple Choice
Given that:
μ = 56 and σ = 7
Find the a raw score for standardized score of 1.3.
x = 65.1
x = 39.2
x = 53.2
x = 70
12
Multiple Choice
Given that:
μ = 56 and σ = 7
Find the a raw score for standardized score of –2.4.
x = 65.1
x = 39.2
x = 53.2
x = 70
13
Multiple Choice
Given that:
μ = 56 and σ = 7
Find the a raw score for standardized score of –0.4.
x = 65.1
x = 39.2
x = 53.2
x = 70
14
Multiple Choice
Given that:
μ = 56 and σ = 7
Find the a raw score for standardized score of 2.0.
x = 65.1
x = 39.2
x = 53.2
x = 70
15
b) Standard Normal Distribution
16
b) Standard Normal Distribution
17
b) Standard Normal Distribution
18
b) Standard Normal Distribution
19
b) Standard Normal Distribution
20
b) Standard Normal Distribution
If Z ~ N(0, 12) find P(Z < 0.247).
P(Z < 0.247) = 0.5948 + 0.0027 = 0.5975
21
Multiple Choice
If Z ~ N(0, 12) find Φ(1.62).
[Hint: P(Z < 1.62) = Φ(1.62)]
0.9474
0.2236
0.0934
0.8438
22
Multiple Choice
If Z ~ N(0, 12) find P(Z > 0.76).
[Hint: P(Z > 0.76) = 1 – Φ(0.76)]
0.9474
0.2236
0.0934
0.8438
23
Multiple Choice
If Z ~ N(0, 12) find P(Z < –1.32).
[Hint: P(Z < –1.32) = 1 – Φ(1.32)]
0.9474
0.2236
0.0934
0.8438
24
Multiple Choice
If Z ~ N(0, 12) find P(–1.2 < Z < 1.738).
[Hint: P(–1.2 < Z < 1.738) = Φ(1.738) – Φ(–1.2)]
0.9474
0.2236
0.0934
0.8438
25
b) Standard Normal Distribution
If X ~ N(2, 52) find P(X < 7).
26
Fill in the Blanks
27
b) Standard Normal Distribution
If X ~ N(2, 52) find P(X > 11).
28
Fill in the Blanks
29
b) Standard Normal Distribution
If X ~ N(2, 52) find P(|X| < 3).
30
Fill in the Blanks
31
b) Standard Normal Distribution
If X ~ N(2, 52) find P(|X - 2| < 6).
32
b) Standard Normal Distribution
If X ~ N(2, 52).
Find x such that P(X > x) = 0.05
Normal Distribution
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