Answered: A lighting company ships decorative…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

ChapterCSR: Contents Of Student Resources

Section: Chapter Questions

Problem 11.2EP

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Question

A lighting company ships decorative strings of lights across the country. The strings of lights range in weight from 50 to 221 ounces. The average weight of the strings of lights is 147 ounces with a standard deviation of 55 ounces. The quartiles and median are 80, 154 and 205 ounces respectively. The strings of lights are shipped in packaging material that adds an additional 5.4 pounds. Before shipping the company needs to convert all ounces to pounds (16 ounces = 1 pound), then add the weight of the packaging material. Find the value of the statistic including the packaging material. Round the answer to the nearest hundredth place.

The standard deviation

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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