16. The water filter of
claim 1, wherein the diverter water inlet is positioned opposite of the diverter water outlet. 17. The water filter of
claim 1, wherein the filter element is a carbon block filter element having a cylindrical vertical water inlet surface on a cylindrical side wall thereof and a hollow core forming a water outlet at a bottom end of the filter element. 18. The water filter of
claim 2, wherein the diverter further includes means for returning the valve to a non-filtering position for directing the flow of water through the water outlet when the water backpressure is reduced. 19. The water filter of
claim 18, wherein said valve is positioned transversely in the diverter body and is movable from the non-filtering position where unfiltered water enters the diverter water inlet and exits the diverter water outlet to the diverting position where the unfiltered water enters the diverter water inlet and exits the diverter outlet duct. 20. The water filter of
claim 2, wherein the valve seals the water outlet when the valve is in its diverting position. 21. The water filter of
claim 20, wherein the valve prevents flow of water to the filter when the valve is in a non-filtering position directing flow of water through the water outlet. 22. The water filter of
claim 4, wherein the water inlet surface comprises a cylindrical outside wall of the filter element, the filter element having an internal bore defining an outlet surface therein, and the bore having a lower end that is sealed to a wall of the filter housing so as to allow communication of the bore through the dispensing opening in the wall of the filter housing. 23. The water faucet-mounted water filter of
claim 13, wherein the dispensing opening is centrally positioned on a bottom of the filter housing. 24. The water faucet-mounted water filter of
claim 13, wherein the carbon block filter element has a cylindrical vertical water inlet surface on a cylindrical side wall thereof and a hollow core forming a water outlet at a bottom end of the filter element. 25. The water faucet-mounted water filter of
claim 13, wherein the valve seals the water outlet when the valve diverts water to the diverter outlet duct and blocks flow of water to the diverter outlet duct when the valve permits dispensing of water through the water outlet. 26. The water faucet-mounted water filter of
claim 13, wherein the filter element includes an upper end, a lower end, an upper cap secured to the upper end, and a lower cap secured to the lower end. 27. The water faucet-mounted water filter of
claim 26, wherein the water faucet-mounted water inlet surface comprises a cylindrical outside wall of the filter element, the filter element having an internal bore defining an outlet surface therein, and the bore having a lower end that is sealed to a wall of the filter housing so as to allow communication of the bore through the dispensing opening in the wall of the filter housing. 28. The water faucet-mounted filter of clam 13, further comprising a second filter element positioned within the filter housing in vertical alignment with the dispensing opening. 29. The water-faucet-mounted water filter of
claim 28, wherein the second filter element is porous plastic. 30. A water faucet-mounted water filter for filtering impurities from water received from a water faucet, the water filter comprising: (a) a diverter including: an upright diverter body with a water inlet at a top end thereof, the water inlet having an internally threaded swivel collar constructed to be connected to the water faucet for receiving unfiltered water and a water outlet at a bottom end of the diverter body opposite the water inlet for dispensing unfiltered water from the diverter to a sink or other receptacle; a diverter outlet duct projecting from one side of the diverter body; and a valve in the diverter body, the valve being movable from a first position where the unfiltered water enters the water inlet and exits the water outlet to a second position where the unfiltered water enters the water inlet and exits the diverter outlet duct; (b) filter housing defining a filter chamber, the filter housing having: a cylindrical side wall; a top portion closed by a top wall integrally formed to the side wall; a bottom portion closed by a separately formed bottom wall; a boss extending from one of said walls of the filter housing and connecting the filter housing to the diverter outlet duct such that the filter housing is supported by the diverter body, the boss having an opening through the wall from which the boss extends and the diverter outlet duct being connected through the boss opening to the filter chamber; and a dispensing opening positioned on the bottom wall for dispensing filtered water from the filter housing into the sink or other receptacle; (c) a carbon block filter element positioned in the filter chamber such that the filter housing and the filter element are supported upon the diverter in close proximity to or in contact with the diverter, the filter element including a water inlet surface on a side wall thereof and a water outlet; an annular water distribution chamber surrounding the filter element, wherein the diverter outlet duct communicates through the annular water distribution chamber with the water inlet surface of the filter element, and wherein the water outlet of the filter element communicates with the dispensing opening of the filter housing such that the filtered water is dispensed from the filter housing. 31. The water faucet-mounted water filter of
claim 30, wherein the valve seals the water outlet when the valve is in its second position and blocks flow of water to the diverter outlet duct when the valve is in its first position. 32. The water faucet-mounted water filter of
claim 30, including a valve handle projecting outward from the diverter body from a side opposite the diverter outlet duct and connected to the valve for selectively moving the valve from the first position to the second position. 33. The water faucet-mounted water filter of
claim 30, wherein said valve is positioned transversely in the diverter body and is movable from a first position where unfiltered water enters the diverter water inlet and exits the diverter water outlet to a second position where the unfiltered water enters the diverter water inlet and exits the diverter outlet duct. 34. The water faucet-mounted water filter of
claim 33, wherein the diverter further includes a diverter handle projecting outward from the diverter body from a side opposite the diverter outlet duct. 35. The water faucet-mounted water filter of
claim 34, wherein the valve is held in the second position under the influence of water backpressure due to water resistance in the filter housing. 36. The water faucet-mounted water filter of
claim 35, wherein the diverter further includes means for returning the valve to the first position for directing the flow of water through the filter element water outlet when the water backpressure is reduced. 37. The water faucet-mounted water filter of
claim 36, wherein the diverter outlet duct defines a filter housing support. 38. A water faucet-mounted water filter for filtering impurities from water received from a water faucet, the water filter comprising: (a) a diverter including: an upright diverter body with a water inlet at one end thereof constructed to be connected to the water faucet for receiving unfiltered water and a water outlet at an end of the diverter body opposite and in vertical alignment with the water inlet for dispensing the unfiltered water from the diverter to a sink or other receptacle; a diverter outlet duct projecting from one side of the diverter body; and a valve in the diverter body, the valve being movable from a first position where the unfiltered water enters the water inlet and exits the water outlet to a second position where the unfiltered water enters the water inlet and exits the diverter outlet duct; (b) a filter housing connected to the diverter outlet duct and being supported by the diverter body, the filter housing defining a filter chamber and including a dispensing opening for dispensing filtered water from the filter housing into the sink or other receptacle, the diverter outlet duct being connected through a wall of the filter housing to the filter chamber; and (c) a carbon block filter element positioned in the filter chamber such that the filter housing and the filter element are supported upon the diverter in close proximity to or in contact with the diverter, the filter element including a vertical water inlet surface on a side wall thereof and a water outlet surface; an annular water distribution chamber surrounding the filter element, wherein the diverter outlet duct communicates through the annular water distribution chamber with the water inlet surface of the filter element such that the unfiltered water is passed through the filter element, and wherein the water outlet surface of the filter element communicates with the dispensing opening in the filter housing such that the filtered water is dispensed from the filter housing. 39. The faucet-mounted water filter of
claim 38, wherein the carbon block filter element has a cylindrical vertical water inlet surface on a cylindrical side wall thereof and a hollow core forming a water outlet at a bottom end of the filter element. 40. The water faucet-mounted water filter of
claim 38, wherein the valve seals the water outlet when the valve is in its second position and blocks flow of water to the diverter outlet duct when the valve is in its first position. 41. The water faucet-mounted water filter of
claim 38, including a valve handle projecting outward from the diverter body from a side opposite the diverter outlet duct and connected to the valve for selectively moving the valve from the first position to the second position.