Question

In: Statistics and Probability

Eastern vs. Western States’ Spending on K-12 Education in 2014 Using the data below, compare how...

Eastern vs. Western States’ Spending on K-12 Education in 2014

Using the data below, compare how much the states East of the Mississippi spend on their K-12 students with how much states West of the Mississippi spend on their K-12 students. Make sure to create a numerical display (make a picture!), describe each distribution (in terms of shape, center and spread) and answer the question: who spends more?

Data in Desmos (Links to an external site.).

Eastern State

$ per Student

Western State

$ per Student

Alabama

9,028

Alaska

18,416

Connecticut

17,745

Arizona

7,528

Delaware

13,938

Arkansas

9,616

D.C.

18,485

California

9,595

Florida

8,755

Colorado

8,985

Georgia

9,202

Hawaii

12,485

Illinois

13,077

Idaho

6,621

Indiana

9,548

Iowa

10,688

Kentucky

9,312

Kansas

9,972

Maine

12,707

Louisiana

10,749

Maryland

14,003

Minnesota

11,464

Massachusetts

15,087

Missouri

9,875

Michigan

11,110

Montana

11,017

Mississippi

8,263

Nebraska

11,726

New Hampshire

14,335

Nevada

8,414

New Jersey

17,907

New Mexico

9,734

New York

20,610

North Dakota

12,358

North Carolina

8,512

Oklahoma

7,829

Ohio

11,354

Oregon

9,945

Pennsylvania

13,961

South Dakota

8,881

Rhode Island

14,767

Texas

8,593

South Carolina

9,732

Utah

6,500

Tennessee

8,630

Washington

10,202

Vermont

16,988

Wyoming

15,797

Virginia

10,973

West Virginia

11,260

Wisconsin

11,186

Solutions

Expert Solution

In order to solve this question I used R software.

R codes and output:

> east=c(9028,17745,13938,18485,8755,9202,13077,9548,9312,12707,14003,15087,11110,8263,14335,17907,20610,8512,11354,13961,14767,9732,8630,16988,10973,11260,11186)
> west=c(18416,7528,9616,9595,8985,12485,6621,10688,9972,10749,11464,9875,11017,11726,8414,9734,12358,7829,9945,8881,8593,6500,10202,15797)
> summary(east)
Min. 1st Qu. Median Mean 3rd Qu. Max.
8263 9430 11350 12610 14550 20610
> summary(west)
Min. 1st Qu. Median Mean 3rd Qu. Max.
6500 8809 9910 10290 11130 18420
> sd(east)
[1] 3515.675
> sd(west)
[1] 2662.431
> par(mfrow=c(1,2))
> hist(east)
> hist(west)

Numerical display of data:

> summary(east)
Min. 1st Qu. Median Mean 3rd Qu. Max.
8263 9430 11350 12610 14550 20610
> summary(west)
Min. 1st Qu. Median Mean 3rd Qu. Max.
6500 8809 9910 10290 11130 18420

Here we see that eastern state has maximum average spend on their K-12 students compared to western state .

Mean spent by eastern state = 12610

Mean spent by western state = 10290

Shape of both distribution is positively skewed.

Mode of both the distribution is lies between 8000 to 10000.

Eastern state spend more amount than western states.

orchestra answered 2 years ago
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