Chapter 3, Problem 13CR

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8th Edition

Charles Henry Brase + 1 other

ISBN: 9781337558075

Textbook Problem

**Political Science: Georgia Democrats** How Democratic is Georgia? County-by-county results are shown for a recent election. For your convenience. the data have been sorted in increasing order (Source: *Countyand City Data Book.* 12th edition. U.S. Census Bureau).

**Percentage of Democratic Vote by Counties in Georgia**

31 | 33 | 34 | 34 | 35 | 35 | 35 | 36 | 38 | 38 | 38 | 39 | 40 | 40 | 40 | 40 |

41 | 41 | 41 | 41 | 41 | 41 | 41 | 42 | 42 | 43 | 44 | 44 | 44 | 45 | 45 | 46 |

46 | 46 | 46 | 47 | 48 | 49 | 49 | 49 | 49 | 50 | 51 | 52 | 52 | 53 | 53 | 53 |

53 | 53 | 55 | 56 | 56 | 57 | 57 | 59 | 62 | 66 | 66 | 68 |

(a) Make a bos-and-whisker plot of the data. Find the interquartile range.

(b) **Grouped Data** Make a frequency table using five classes. Then estimate the mean and sample standard deviation using the frequency table. Compute a 75% Chebyshev interval centered about the mean.

(c) If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values

**(a)**

To determine

**To graph:** The box-and-whisker plot and interquartile range for the data.

Explanation

**Graph:** To create box-and-whisker plot by using MINITAB, the steps are as follows:

Step 1: Enter data in C1 of MINITAB worksheet.

Step 2: Go to Graph > Boxplot > Simple and click on OK.

Step 3: Enter C1 in dialog box of Graph variable.

Step 4: Click on OK.

The box-and-whisker plot is obtained as:

**Calculation:** Interquartile range (IQR) is simply the difference between the third and first quartiles. It is calculated by using

First order the data from smallest to largest.

The lowest value in the data is 31 and highest value in the data is 68.

Next, find the median. Since the number of data values is 60, there is an even number of data, and the median is average of the 30th and 31th value.

Sect-3.1 P-1PSect-3.1 P-2PSect-3.1 P-3PSect-3.1 P-4PSect-3.1 P-5PSect-3.1 P-6PSect-3.1 P-7PSect-3.1 P-8PSect-3.1 P-9PSect-3.1 P-10P

Sect-3.1 P-11PSect-3.1 P-12PSect-3.1 P-13PSect-3.1 P-14PSect-3.1 P-15PSect-3.1 P-16PSect-3.1 P-17PSect-3.1 P-18PSect-3.1 P-19PSect-3.1 P-20PSect-3.1 P-21PSect-3.1 P-22PSect-3.1 P-23PSect-3.1 P-24PSect-3.1 P-25PSect-3.1 P-26PSect-3.1 P-27PSect-3.1 P-28PSect-3.1 P-29PSect-3.1 P-30PSect-3.2 P-1PSect-3.2 P-2PSect-3.2 P-3PSect-3.2 P-4PSect-3.2 P-5PSect-3.2 P-6PSect-3.2 P-7PSect-3.2 P-8PSect-3.2 P-9PSect-3.2 P-10PSect-3.2 P-11PSect-3.2 P-12PSect-3.2 P-13PSect-3.2 P-14PSect-3.2 P-15PSect-3.2 P-16PSect-3.2 P-17PSect-3.2 P-18PSect-3.2 P-19PSect-3.2 P-20PSect-3.2 P-21PSect-3.2 P-22PSect-3.2 P-23PSect-3.2 P-24PSect-3.2 P-25PSect-3.2 P-26PSect-3.2 P-27PSect-3.2 P-28PSect-3.2 P-29PSect-3.2 P-30PSect-3.3 P-1PSect-3.3 P-2PSect-3.3 P-3PSect-3.3 P-4PSect-3.3 P-5PSect-3.3 P-6PSect-3.3 P-7PSect-3.3 P-8PSect-3.3 P-9PSect-3.3 P-10PSect-3.3 P-11PSect-3.3 P-12PCh-3 P-1CRCh-3 P-2CRCh-3 P-3CRCh-3 P-4CRCh-3 P-5CRCh-3 P-6CRCh-3 P-7CRCh-3 P-8CRCh-3 P-9CRCh-3 P-10CRCh-3 P-11CRCh-3 P-12CRCh-3 P-13CRCh-3 P-14CRCh-3 P-15CRCh-3 P-16CRCh-3 P-17CRCh-3 P-18CRCh-3 P-19CRCh-3 P-1DHGPCh-3 P-2DHGPCh-3 P-1LCWPCh-3 P-2LCWPCh-3 P-3LCWPCh-3 P-4LCWPCh-3 P-1UTACh-3 P-1CRPCh-3 P-2CRPCh-3 P-3CRPCh-3 P-4CRPCh-3 P-5CRPCh-3 P-6CRPCh-3 P-7CRPCh-3 P-8CRPCh-3 P-9CRPCh-3 P-10CRPCh-3 P-11CRPCh-3 P-12CRPCh-3 P-13CRPCh-3 P-14CRPCh-3 P-15CRPCh-3 P-16CRPCh-3 P-17CRPCh-3 P-18CRP

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