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The Normal Distribution and the Empirical Rule
Presentation
•
Mathematics
•
11th Grade
•
Easy
+6
Standards-aligned
Pam jordan
Used 20+ times
FREE Resource
5 Slides • 20 Questions
1
Poll
I can identify a normal probability distribution, if presented with a graph, histogram or stem and leaf plot.
Everytime
Sometimes
Maybe
Normal? What?!?
2
Hotspot
Mark the images that represent a normal probability distribution.
3
Multiple Choice
Located at the center of a normal distribution is the ________ and it is represented by the symbol, ___.
mean, μ
standard deviation, μ
standard deivation, σ
mean, σ
4
5
6
Definition
7
Multiple Choice
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
1
2
3
4
8
Poll
Where do we place the mean on a normal distribution curve?
To the left of the middle
Somewhere close to the middle
Exactly in the middle, where the curve is highest
To the right of the middle
9
Poll
Where would we see standard deviations added to the mean?
To the left of the middle
Somewhere close to the middle
Exactly in the middle, where the curve is highest
To the right of the middle
10
Poll
Where would we see standard deviations subtracted from the mean?
To the left of the middle
Somewhere close to the middle
Exactly in the middle, where the curve is highest
To the right of the middle
11
Multiple Choice
According to the empirical rule, what is the percentage of data that falls within one standard deviation of the mean?
67%
65%
72%
68%
12
Multiple Choice
Using the empirical rule, what is the percentage of data that falls within two standard deviations of the mean?
68%
99.7%
95%
98%
13
Multiple Choice
What is the percentage of data that falls within three standard deviations of the mean, according to the empirical rule?
99.7%
98.7%
95%
100%
14
15
16
Multiple Choice
What percentages of pregnancies last less than 250 days?
2.35%
13.5%
16%
34%
17
Multiple Choice
What percentage of pregnancies are longer than 298 days?
0.15%
2.35%
2.5%
13.5%
18
Multiple Choice
Using the Empirical Rule:
The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
68%
34%
16%
2.5%
19
Multiple Choice
A machine is used to put bolts into boxes. It does so such that the actual number of bolts in a box is normally distributed with a mean of 106 and a standard deviation of 2. What is the probability of selecting a box that contains less than 108 bolts?
0.84
.16
0.64
95
20
Multiple Choice
Which interval shows 68% of the data given a mean of 15 and a standard deviation of 3?
Hint: Sketch the Normal Distribution curve.
9 to 21
12 to 18
6 to 24
13 to 16
21
Multiple Choice
9 to 21
12 to 18
6 to 24
13 to 16
22
Drag and Drop
23
Multiple Choice
500 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and standard deviation of 4. Approximately how many juniors scored between 16 and 32?
340
250
475
95
24
Multiple Choice
Which of the following is a disadvantage of the Empirical Rule?
There is no result for 4 standard deviations.
It is very conservative.
There is no result for 1 standard deviation.
The data has to be approximately normal.
25
Poll
How did you feel about today's lesson? How confident were you about the material?
Move over teach....I've got this!!
Good
A little shaky
I really need some help
I can identify a normal probability distribution, if presented with a graph, histogram or stem and leaf plot.
Everytime
Sometimes
Maybe
Normal? What?!?
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