Aim: what is the normal distribution?Do Now: Two sets of data given
1 2 2 3 3 3 4 4 4 4 5 5 5 6 6 7
1 1 1 2 2 3 4 5 6 8 9 9 9 10 10 10
1. Find the mean for both
2. Find the standard deviation for both
HW: Worksheet:
xi fi
1 1
2 2
3 3
4 4
5 3
6 2
7 1
xi fi
1 3
2 2
3 1
4 1
5 1
6 1
8 1
9 3
10 3
Frequency Table
A bell-shaped curve called the normal curveIn a normal curve, the greatest frequency occurs at a data value in the center of the distribution.
The distribution of data represented by the normal curve is called a normal distribution
This center value is the mean, μ
1 2 30123
Normal Curve
68%
95%
99.5%
1
2
3
68% of the scores fall within of the mean
95% of the scores fall within of the mean
99.5% of the scores fall within of the mean
A normal curve is divided into several sections by the standard deviations
A normal curve divided into 100%, therefore we can find the percentile of a certain score.
102.1 locates on -1.5 standard deviation or on about 7th percentile. Then the answer is choice (1)
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