Aim: what is the normal distribution?

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Presentation transcript:

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:

Frequency Table xi fi xi fi 1 2 3 4 5 6 7 xi fi 1 3 2 4 5 6 8 9 10

A bell-shaped curve called the normal curve In a normal curve, the greatest frequency occurs at a data value in the center of the distribution. This center value is the mean, μ The distribution of data represented by the normal curve is called a normal distribution

68% 95% 99.5% Normal Curve

68% of the scores fall within of the mean A normal curve is divided into several sections by the standard deviations 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 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 102.1 locates on -1.5 standard deviation or on about 7th percentile. Then the answer is choice (1)