Answered: The table below gives the number of…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 11PPS

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Question

The table below gives the number of accidents each year at a particular road junction:
2013 2014 2015 2016 2017 2018 2019 2020 4 15 14 22 30 45 13 9
a) Work out the mean, median, and mode for the values above.
b) Compute the standard deviation
c) A road safety group wants to get the council to make this junction safer. Which measure
will they use to argue for this?

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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