Question

Select the correct answer from each drop-down menu.

The table shows the heights of the 10 tallest buildings in San Francisco and Los Angeles.

The average height of the 10 tallest buildings in Los Angeles is than the average height of the tallest buildings in San Francisco. The mean absolute deviation for the 10 tallest buildings in San Francisco is

The answer:

Answer 1

1st -36.1 meters or more

2nd -23.12

Step-by-step explanation:

Answer 2

Answer with explanation:

`\text{Average}=\frac{\text{Sum of all the observation}}{\text{Total number of Observation}}`

Average Height of tallest Building in San Francisco

`=(260+237+212+197+184+183+183+175+174+173)/(10)\\\\=(1978)/(10)\\\\=197.8`

Average Height of tallest Building in Los Angeles

`=(310+262+229+228+224+221+220+219+213+213)/(10)\\\\=(2339)/(10)\\\\=233.9`

→→Difference between Height of tallest Building in Los Angeles and Height of tallest Building in San Francisco

=233.9-197.8

=36.1

⇒The average height of the 10 tallest buildings in Los Angeles is 36.1 more than the average height of the tallest buildings in San Francisco.

⇒Part B

Mean absolute deviation for the 10 tallest buildings in San Francisco

|260-197.8|=62.2

|237-197.8|=39.2

|212-197.8|=14.2

|197 -197.8|= 0.8

|184 -197.8|=13.8

|183-197.8|=14.8

|183-197.8|= 14.8

|175-197.8|=22.8

|174-197.8|=23.8

|173 -197.8|=24.8

Average of these numbers

`=(62.2+39.2+14.2+0.8+13.8+14.8+14.8+22.8+23.8+24.8)/(10)\\\\=(231.2)/(10)\\\\=23.12`

Mean absolute deviation=23.12