Measures of Central Tendency and Dispersion in Frequency Distributions

The Casual Life Insurance Company is considering purchasing a new fleet of company cars. The financial department's director. tom Dawkins, sampled 40 employees to determine the number of miles each drove over a 1-year period. The results of the study follow. Calculate the range and interquartile range.

Here are the high temperature readings during June 1995 in Phonix, arizona. Find the 70th percentile..

These are the total fares (in dollars) collected Tuesday by the 20 taxis belonging to City Transit, Ltd.

Redi-Mix Incorporated kept the following record of time (to the nearest 100th of a minute) its truck waited at the job to unload. Calculate the range and the interquartile range.

Warlington Appliances has developed a new combination blender-crock-pot. In a marketing demonstration, a price survey determined that most of those sampled would be willing to pay around $60, with a surprisingly small interquartile range of $14.00. In an attempt to replicate the results, the demonstration and accompanying survey were repeated. The marketing department hoped to find an even smaller interquartile range. The data follow. Was its hope realized?

523548464340614957586546
726938375552503141604541
553851494643645260616849
696635345249472838574238

MacroSwift has decided to develop a new software program designed for CEOs and other high-level executives. MacroSwift did not want to develop a program that required too much hard-drive space, so they polled 36 executives to determine the amount of available space on their PCs. The results are given below in megabytes.

6.36.77.98.49.710.612.419.429.142.6
59.897.6100.4120.6135.5148.6178.6200.1229.6284.6
305.6315.6325.9347.5358.6397.8405.6415.9427.8428.6
439.5440.9472.3475.9477.2502.6

Calculate the range and interquartile range.

The New Mexico State Highway Department is charged with maintaining all state roads in good condition. One measure of condition is the number of cracks present in each 100 feet of roadway. From the department’s yearly sample, the following data were obtained:

478991011121213
13131314141415151616
16161617171718181919

Calculate the interfractile ranges between the 20th, 40th, 60th, and 80th percentiles.

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