Customer database. 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. Here are a few of them.

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

Mean 54.41 StdDev 957.62 Median 1 IQR 2 n 94649

a) What does the mean of 54.41 mean?

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

c) Is that why these are so different?

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