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2-3 example4 - Student Grady Simonton Instructor Shawn...

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Unformatted text preview: Student: Grady Simonton Instructor: Shawn Parvini Date: 2/18/10 Course: Math119: Elementary Statistics - Spring 2.010 - CRN: 492.39 - 16 weeks Book: Triola: Elementary Statistics, 11e Time: 11:06 AMI The table below shows the frequency distribution of the rainfall on 52 consecutive weekends in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal? class 0 — 0.19 2 0.20 - 0.39 5 0.40 - 0.59 12 0.60 — 0.79 15 0.80 - 0.99 1.00 - 1.19 1.20 - 1.39 The first task is to use the frequency distribution to create a histogram. A histogram is a bar graph in which the horizontal scale represents classes of data values and the vertical scale represents frequencies. The heights of the bars correspond to the frequency values, and the bars are drawn adjacent to each other (without gaps). This histogram represents the data. 20— 10— 0 0.10.3 0.5 0.? 0.91.1 1.3 The next task is to decide whether the data appear to have a distribution that is approximately normal. Key characteristics of the normal or "bell shape" are (1) the rise in frequencies that reach a maximum, then decrease, and (2) the symmetry with the left half of the graph that is roughly a mirror image of the right half. If the graph does not appear to be normal, look at it to see if the values are evenly distributed or skewed in a certain direction. In this case, the frequencies match the description of the normal curve since the data seems to be centered around the values with maximum frequencies. Page 1 ...
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