Suppose I had a sample of five individuals and have information on the number of years of education that each person and their mother have as follows: Individual’s Mom’s Name Education (yrs) Education (yrs) Chip 16 13 Jose 19 17 Buffy 14 15 James 5 11 Chrystal 16 12 (a) Find the sample mean for Individual’s Education. (b) Find the sample median for Individual’s Education. (c) Find the sample mode for Individual’s Education. (d) Why does the sample mean differ as much as it does from the sample median? (e) Find the sample standard deviation for Individual’s Education. (Please round your final answer to 2 decimal places.)

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Suppose I had a sample of five individuals and have information on the number of years of education that each person and their mother have as follows:

Individual’s Mom’s

Name Education (yrs) Education (yrs)

Chip 16 13

Jose 19 17

Buffy 14 15

James 5 11

Chrystal 16 12

(a) Find the sample mean for Individual’s Education.

(b) Find the sample median for Individual’s Education.

(c) Find the sample mode for Individual’s Education.

(d) Why does the sample mean differ as much as it does from the sample median?

(e) Find the sample standard deviation for Individual’s Education. (Please round your final answer to 2 decimal places.)

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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