Answered: A study carried out to investigate the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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A study carried out to investigate the distribution of total
braking time (reaction time plus accelerator-to-brake movement
time, in ms) during real driving conditions at 60 km/
hr gave the following summary information on the distribution
of times (“A Field Study on Braking Responses
During Driving,” Ergonomics, 1995: 1903–1910):
mean 5 535 median 5 500 mode 5 500
sd 5 96 minimum 5 220 maximum 5 925
5th percentile 5 400 10th percentile 5 430
90th percentile 5 640 95th percentile 5 720
What can you conclude about the shape of a histogram
of this data? Explain your reasoning.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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