The data below are the number of U. S. citizens (in thousands) identifying solely as Native Americans in the 2010 census for the 22 states west of the Mississippi River. 363 322 297 193 171 104 72 63 61 56 53 37 33 32 31 28 27 22 21 18 13 11 Find each of the four measures of average for the data, then discuss any similarities or differences among the four.

Step-by-step explanation:

given that the data below are the number of U.S. citizens (in thousands) identifying solely as Native Americans in the 2010 census for the 22 states west of the Mississippi River.

363 322 297 193 171 104 72 63 61 56 53 37 33 32 31 28 27 22 21 18 13 11

We are to find each of four measures of average for the data

Arithmetic mean = sum/no of entries

=92.18

Geometric mean = 22nd root of all the products =53.52

Harmonic mean = the reciprocal of the arithmetic mean of sum of all reciprocals=35.32

Median = 45

Mode = All values

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3