Explain you reasoning. . In figure 2 (p. 81), the percentage of women with heigh

Question

Explain you reasoning. . In figure 2 (p. 81), the percentage of women with heights between 61 inches and 66 inches is exactly equal to the area between 61 inches and 66 inches under the and approximately equal to the area under the Options: normal curve, histogram. Figure 2. A histogram for heights of women compared to the normal curve. The area under the histogram between 60.5 inches and 66.5 inches (the percentage of women within one SD of average with respect to height) is about equal to the area between-1 and +1 under the curve 68%. 60 20 10 51.5 54.5 57.5 60.5 63.5 66.5 69.5 72.5 75.5 HEIGHT (INCHES) -4-3 21 STANDARD UNITS

Explanation / Answer

The percentage of women with heights between 61 inches and 66 inches is exactly equal to the area between 61 and 66 inches under the histogram and approximately equal to the area under the normal curve.

This is because, height samples collected will be discrete units and histogram is made using these dicrete values. But the normal curve is drawn by approximating the histogram. The data will assume the shape of a normal curve, but it might not be exactly the normal curve.So, a histogram will represent the exact values measured.

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