A philanthropic organization has a database of millions of donors that they contact by mail to raise money for charities. One of the variables in the database, Title, contains the title of the person or persons printed on the address label. The most common are Mr., Ms., Miss, and Mrs., but there are also Ambassador and Mrs., Your Imperial Majesty, and Cardinal, to name a few others. In all, there are over 100 different titles, each with a corresponding numeric code.

An intern who was asked to analyze the organization€™s fundraising efforts presented these summary statistics for the variable Title.

a) What does the mean of 54.41 mean?

b) What are the typical reasons that cause measures of cen-ter and spread to be as different as those in this table?

c) Is that why these are so different?

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Code Code Title Title PRINCESS CHIEF MR. 000 127 MRS. 128 001 1002 MR. and MRS. BARON 129 MISS SHEIK 003 130 DR. PRINCE AND PRINCESS 004 131 MADAME YOUR IMPERIAL MAJESTY 005 132 SERGEANT M. ET MME. 006 135 RABBI PROF. 009 210 PROFESSOR 010 PRINCE 126