Answered: This table lists a sample of jogging…

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 12.6P

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Question

This table lists a sample of jogging times (tracked using a running app and measured in minutes) over a prespecified week:
33.43 36.19 69.01
73.49
45.30 59.25 50.50
*
a) Determine the median of these data.
b) Briefly describe, in percentage terms, what information the median you have determined in a) provides about the jogging times data.

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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