Please provide a typed solution. NO Handwritten solution. Thank you. 11, Measure

Question

Please provide a typed solution. NO Handwritten solution. Thank you.

11, Measures of central tendency: (based on Bassarear 7.1 #25) The data below are from Keene State College students in an Introduction to Education course. The data are state of residence. New Hampshire: 26 Vermont:3 Virginia: 1 New Jersey: 1 a. Some people say the mode is 26, some say the mode is New Hampshire, and some say the mode is 1 Who is right and why? b. Some say the mean is 4.6, that is, 50/11. Some say there is no mean. Who is right and why? Massachusetts: 6 New York: 3 Rhode Island: 1 California: 1 Connecticut: 5 Maine: 2 Pennsylvania: 1

Explanation / Answer

a>

Here,the mode is - NEW HAMPSHIRE.

EXPLANATION-

We know,mode is the element of the variable,which occurs with the maximum frequency.

Here,the variable under consideration is the state of residence of the students.(A nominal variable).

From the given data set,it is observed that 26 students(highest number of students than the other states) are from NEW HAMPSHIRE.Thus,the frequency for NEW HAMPSHIRE is 26,which the maximum frequency in the given data set.Hence,the mode should be -NEW HAMPSHIRE,which is an element of the nominal variable.(ANSWER)

b>

ANSWER- There is NO MEAN.

EXPLANATION-

Here,the variable is state of residence,which is a categorical variable (Nomianal).

A categorical variable can not be used for numerical operations to calculate mean,sd,etc.

We can just categorize the residence of sudents in every individual states it belongs to.Here the variable values are not known,and we cannot calculate the mean through frequencies only.So,there is not any concept of mean here.(ANSWER)

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