UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                  SCHEDULE 13G

                    UNDER THE SECURITIES EXCHANGE ACT OF 1934
                               (AMENDMENT NO. 4)*

                                MOBILE MINI, INC.
                                (Name of Issuer)

                          COMMON STOCK, $.01 PAR VALUE
                         (Title of Class of Securities)

                                    60740F105
                                 (CUSIP Number)

                                DECEMBER 31, 2004
             (Date of Event which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

[ ]   Rule 13d-1(b)
[X]   Rule 13d-1(c)
[ ]   Rule 13d-1(d)

* The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).



CUSIP No. 60740F105

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      1     NAMES OF REPORTING PERSONS
            I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (entities only)

                  THOMAS W. SMITH

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      2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP             (a) [ ]
                                                                         (b) [X]

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      3     SEC USE ONLY

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      4     CITIZEN OR PLACE OF ORGANIZATION

                  UNITED STATES

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                        5     SOLE VOTING POWER

                                    100,000
     NUMBER OF
      SHARES            --------------------------------------------------------
   BENEFICIALLY         6     SHARED VOTING POWER
   OWNED BY EACH
     REPORTING                      662,020
      PERSON
       WITH             --------------------------------------------------------
                        7     SOLE DISPOSITIVE POWER

                                    115,000

                        --------------------------------------------------------
                        8     SHARED DISPOSITIVE POWER

                                    662,020

--------------------------------------------------------------------------------
      9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                  777,020

--------------------------------------------------------------------------------
      10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

                  NOT APPLICABLE

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      11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

                  5.3%

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      12    TYPE OF REPORTING PERSON

                  IN

--------------------------------------------------------------------------------

                                     - 2 -


CUSIP No. 60740F105

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      1     NAMES OF REPORTING PERSONS
            I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (entities only)

                  SCOTT J. VASSALLUZZO

--------------------------------------------------------------------------------
      2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP             (a) [ ]
                                                                         (b) [X]

--------------------------------------------------------------------------------
      3     SEC USE ONLY

--------------------------------------------------------------------------------
      4     CITIZEN OR PLACE OF ORGANIZATION

                  UNITED STATES

--------------------------------------------------------------------------------
                        5     SOLE VOTING POWER

                                    0
      NUMBER OF
       SHARES           --------------------------------------------------------
    BENEFICIALLY        6     SHARED VOTING POWER
    OWNED BY EACH
      REPORTING                     662,020
       PERSON
        WITH            --------------------------------------------------------
                        7     SOLE DISPOSITIVE POWER

                                    0

                        --------------------------------------------------------
                        8     SHARED DISPOSITIVE POWER

                                    662,020

--------------------------------------------------------------------------------
      9     AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                  662,020

--------------------------------------------------------------------------------
      10    CHECK IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES

                  NOT APPLICABLE

--------------------------------------------------------------------------------
      11    PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

                  4.5%

--------------------------------------------------------------------------------
      12    TYPE OF REPORTING PERSON

                  IN

--------------------------------------------------------------------------------

                                     - 4 -

Explanatory Note: This Amendment No. 4 on Schedule 13G is being filed (i) 
pursuant to Rule 13d-2(b) of the Securities Exchange Act of 1934, as amended, 
to reflect changes in the information reported in the previous filing, and (ii) 
to reflect the removal of Thomas N. Tryforos as a joint filer based on the fact 
that, as of December 31, 2004, Mr. Tryforos no longer beneficially owns more 
than five percent of the issuer's common stock.

ITEM 1. (a)    NAME OF ISSUER:

               Mobile Mini, Inc.

        (b)    ADDRESS OF ISSUER'S PRINCIPAL EXECUTIVE OFFICES:

               7420 South Kyrene Road
               Suite 101
               Tempe, Arizona 85283

ITEM 2. (a)    NAME OF PERSON FILING:

               (i) Thomas W. Smith

               (ii) Scott J. Vassalluzzo

               The filing of this Statement shall not be deemed to be an
               admission that the filing persons comprise a "group" within the
               meaning of Section 13(d)(3) of the Securities Exchange Act of
               1934, as amended. The Reporting Persons each disclaim beneficial
               ownership of the shares reported in this Schedule 13G in excess
               of those shares as to which they have or share voting or
               investment authority.

        (b)    ADDRESS OF PRINCIPAL BUSINESS OFFICE:

               The following is the address of the principal business office of
               each of the filing persons:

               323 Railroad Avenue
               Greenwich, CT 06830

        (c)    CITIZENSHIP:

               Each of Messrs. Thomas W. Smith and Scott J. Vassalluzzo is a
               United States citizen.

        (d)    TITLE OF CLASS OF SECURITIES:

               Common Stock, par value $.01 per share.

        (e)    CUSIP NUMBER:

               60740F105

ITEM 3. IF THIS STATEMENT IS FILED PURSUANT TO RULES 13d-1(b) OR 13d-2(b) OR
        (c), CHECK WHETHER THE PERSON FILING IS A:

        Not applicable.

        IF THIS STATEMENT IS FILED PURSUANT TO RULE 13d-1(c), CHECK THIS BOX [X]

                                     - 5 -


ITEM 4. OWNERSHIP

        (a)    Thomas W. Smith - 777,020 shares; Scott J. Vassalluzzo - 
               662,020 shares

        (b)    Thomas W. Smith - 5.3%; Scott J. Vassalluzzo - 4.5%

        (c)    Mr. Thomas W. Smith has the sole power to vote or to direct the
               vote of 100,000 shares and the sole power to dispose or to
               direct the disposition of 115,000 shares. Mr. Scott J.
               Vassalluzzo has the sole power to vote or dispose or to direct
               the vote or the disposal of no shares. Messrs. Thomas W. Smith
               and Scott J. Vassalluzzo have the shared power to vote or dispose
               or to direct the vote or the disposal of 662,020 shares.  Voting 
               and investment authority over investment accounts established for
               the benefit of certain family members and friends of the 
               Reporting Persons is subject to each beneficiary's right to 
               terminate or otherwise direct the disposition of the investment 
               account.

ITEM 5. OWNERSHIP OF FIVE PERCENT OR LESS OF A CLASS

        As of December 31, 2004, Thomas N. Tryforos ceased to beneficially own
        more than five percent of the outstanding common stock of the Issuer.

ITEM 6. OWNERSHIP OF MORE THAN FIVE PERCENT ON BEHALF OF ANOTHER PERSON

        Not applicable.

ITEM 7. IDENTIFICATION AND CLASSIFICATION OF THE SUBSIDIARY WHICH ACQUIRED THE
        SECURITY BEING REPORTED ON BY THE PARENT HOLDING COMPANY

        Not applicable.

ITEM 8. IDENTIFICATION AND CLASSIFICATION OF MEMBERS OF THE GROUP

        Not applicable.

                                     - 6 -


ITEM 9. NOTICE OF DISSOLUTION OF GROUP

        Not applicable.

ITEM 10.CERTIFICATION

        By signing below, I certify that, to the best of my knowledge and
        belief, the securities referred to above were not acquired and are not
        held for the purpose of or with the effect of changing or influencing
        the control of the issuer of the securities and were not acquired and
        are not held in connection with or as a participant in any transaction
        having that purpose or effect.

                                     - 7 -


                                    SIGNATURE

      After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Date: February 14, 2005

                                                      /s/ Thomas W. Smith
                                                 -------------------------------
                                                        Thomas W. Smith

                                                   /s/ Scott J. Vassalluzzo
                                                 -------------------------------
                                                     Scott J. Vassalluzzo

                                     - 8 -


                             JOINT FILING AGREEMENT

      The undersigned agree that the foregoing Statement on Schedule 13G, dated
February 14, 2005, is being filed with the Securities and Exchange Commission
on behalf of each of the undersigned pursuant to Rule 13d-1(k)

Dated: February 14, 2005

                                                      /s/ Thomas W. Smith
                                                 -------------------------------
                                                        Thomas W. Smith

                                                   /s/ Scott J. Vassalluzzo
                                                 -------------------------------
                                                     Scott J. Vassalluzzo

                                      - 9 -