Question

Building Type   Land Area in Acres   Living Area   Total Assessed Land Value   Total Assessed Parcel Value
Commercial   0.20860882 318 625900 730700
Commercial   0.21751607 3630 423700 741100
Commercial   5.5474977 59506 10253200 13547100
Commercial   0.18682277 3780    293300 460200
Commercial   0.55227273 22017 681300 1214000
Condominium   0 1776 0 579500
Condominium   0   1270 0 512100
Condominium   0 2076 0 578900
Condominium   0 1132 0 281800
Condominium   0 957 0 266800
Condominium   0 1128 0 481100
Condominium   0 1235 0 470400
Condominium   0 1264 0 442500
Condominium   0 678 0 244300
Condominium   0 792 0 323800
Condominium   0 1818 0 500000
Condominium   0 1400 0 473000
Condominium   0 1280 0 328100
Condominium   0 1850 0 644900
Condominium   0 1089 0 477300
Condominium   0 892 0 372900
Residential   0.05502755 2296 395800 746200
Residential   0.03826905 1620 345400 557800
Residential   0.09070248 3343 476800 774000
Residential   0.05968779 4032 408000 839300
Residential   0.06818182 3438 215400 669200

Which statements are true about the pattern of data for the sample standard deviations of the commercial buildings total assessed land value and total assessed parcel value, and the residential buildings total assessed land value and total assessed parcel value? Select all that apply.

Commercial buildings have a greater standard deviation in both categories than residential.

The standard deviation for Commercial Total Assessed Land Value is only two times the standard deviation for Residential Total Assessed Land Value.

The largest difference in standard deviation is from Residential Total Assessed Land Value to Commercial Total Assessed Parcel Value.

The smallest decrease in standard deviation is from Residential Total Assessed Parcel Value to Residential Total Assessed Land Value.

Answer 1

Which statements are true about the pattern of data for the sample standard deviations of the commercial buildings total assessed land value and total assessed parcel value, and the residential buildings total assessed land value and total assessed parcel value? Select all that apply.

Commercial buildings have a greater standard deviation in both categories than residential. (Correct)

The standard deviation for Commercial Total Assessed Land Value is only two times the standard deviation for Residential Total Assessed Land Value. (incorrect - The standard deviation for Commercial Total Assessed Land Value is about 44 times the standard deviation for Residential Total Assessed Land Value)

The largest difference in standard deviation is from Residential Total Assessed Land Value to Commercial Total Assessed Parcel Value. (correct, the difference is about 5605122)

The smallest decrease in standard deviation is from Residential Total Assessed Parcel Value to Residential Total Assessed Land Value.(Correct, it decrease is between the two for residential is about 10560. But for commercial it is about 1351317)

The standard deviation table for the properties referred to is given below.