The table below shows a relative-frequency distribution for the heights of female students at a midwestern college. The heights are approximately normally distributed with mean 64.4 inches and standard deviation 1.7 inches.Height(inches)FrequencyfRelative frequency 60< 6130.0101 61<6270.0236 62<63240.0808 63<64690.2323 64<65980.3300 65<66670.2256 66<67210.0707 67<6860.0202 68<6920.0067 2971.0000 Use a normal distribution with μ=64.4 and σ=1.7 to approximate the percentage of these students having heights within any specified range.The normal distribution approximates the percentage of female students with heights between 62 and 63 inches to be __________%.(Round to two decimal places as needed.)

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The table below shows a relative-frequency distribution for the heights of female students at a midwestern college. The heights are approximately normally distributed with mean 64.4 inches and standard deviation 1.7 inches.

Height (inches)	Frequency f	Relative frequency
60< 61	3	0.0101
61<62	7	0.0236
62<63	24	0.0808
63<64	69	0.2323
64<65	98	0.3300
65<66	67	0.2256
66<67	21	0.0707
67<68	6	0.0202
68<69	2	0.0067
	297	1.0000

Use a normal distribution with μ=64.4 and σ=1.7 to approximate the percentage of these students having heights within any specified range.

The normal distribution approximates the percentage of female students with heights between 62 and 63 inches to be __________%.

(Round to two decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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