# ch6 - Ch 6 TheNormalCurve Letsstartbywayofexample.

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1 Ch 6 The Normal Curve  Let’s start by way of example. Assume the heights of some 6,588 women measured  in a certain survey. It was found that the  mean  (arithmetic average) was 63.5 inches. And the  standard deviation  was calculated to be 2.5  inches. One of these women was 68.5 inches. What was her  height in standard units? • Answer) She was 5 inches taller than average. • 5 inches = 2 SDs. Therefore, in  standard units  her height is +2.

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2 • 1) Convert the following to standard units [66 inches,  58.5 inches, 64 inches, 63.5 inches] • 2) Find the height which is -1.2 in standard units. Answers • 1)[+1, -2, 0.2, 0] • 2) 1.2 SDs below average is  1.2 x 2.5 inches = 3 inches so, height is 63.5 – 3 = 60.5 inches
3 The Histogram Per cent per I nch 63. 5 66 61 68. 5 71 58. 5 56 73. 5 53. 5 0 10 20 Per cent per St andar d Uni t 0 25 50 Hei ght ( I nches) 0 +1 - 1 +2 +3 - 2 - 3 +4 - 4 St andar d Uni t s

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## This note was uploaded on 03/14/2010 for the course ECON Statistics taught by Professor Yy during the Spring '10 term at Seoul National.

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ch6 - Ch 6 TheNormalCurve Letsstartbywayofexample.

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