Answered: Question 1 Measures of Central Tendency…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4AGP

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Question 1 Measures of Central Tendency

Month	Postal Services	Telephone Services
Month 1	11	12
Month 2	12	12
Month 3	12	13
Month 4	12	15
Month 5	11	17
Month 6	13	13
Month 7	15	16
Month 8	16	17
Month 9	16	19
Month 10	15	17

To survey methods of communications with their clients, a company records the number of times post and telephones were used (Table 1).

a. Summarise this data in an appropriate chart.

b.Calculate the measures of central tendency (mean, median, and mode), including measures of dispersion (standard deviation and range).

c. Use the measures calculated in (b) to describe and compare the two methods.

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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