Maths Project on Body Mass Index (BMI)

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Body Mass Index (BMI)

Objective

To investigate the health of students of a class based on the Body Mass Index (BMI).

Where BMI = ^weigh2 Height²

Description

Measured the heights of all students in my class. Measured their weights in kg.

Established the relationship between height and weight for boys and girls separately.

Roll. No of Student	Height in m	Weight in Kg
1.	1.54	36
2.	1.58	45
3.	1.60	44
4.	1.59	56
5.	1.54	55
6.	1.55	43
7.	1.56	56
8.	1.54	57
9.	1.53	43
10.	1.58	38
11.	1.59	59
12.	1.60	45
13.	1.61	56
14.	1.62	54
15.	1.63	53
16.	1.66	52
17.	1.65	45
18.	1.65	43

Calculation:- Case 1 (Girls):-

BMI for roll. No. 1 = ^weight₂

Height²

36 1.54²

36 2.37

= 15.18

Similarly calculated BMI for all girls.

Roll.No	Weight in Kg	Square of Height	BMI
1.	40	2.3716	16.86625
2.	45	2.4964	18.02596
3.	44	2.56	17.1875
4.	65	2.5281	25.71101
5.	55	2.3716	23.19109
6.	43	2.4025	17.89802
7.	56	2.4336	23.01118
8.	57	2.3716	24.03441
9.	43	2.3409	18.369
10.	38	2.4964	15.22192
11.	59	2.5281	23.33768
12.	45	2.56	17.57813
13.	56	2.5921	21.6041
14.	54	2.6244	20.57613
15.	60	2.6569	22.58271
16.	68	2.7556	24.67702
17.	45	2.7225	16.52893
18.	65	2.7225	23.87511

Result of Student's Health according to following table:-

BMI	Health
Less than 20	Under weight
20-25	Good health
25-30	Over weight
30 and above	Obese(Very fat)

Roll. No. 1 Under weight Roll. No. 5 has good health Roll No. 4 is over weight There is no obese girl.

Roll.No	BMI	Health
1.	16.86625	Under weight
2.	18.02596	Under weight
3.	17.1875	Under weight
4.	25.71101	over weight
5.	23.19109	good health
6.	17.89802	Under weight
7.	23.01118	good health
8.	24.03441	good health
9.	18.369	Under weight
10.	15.22192	Under weight
11.	23.33768	good health
12.	17.57813	Under weight
13.	21.6041	good health
14.	20.57613	good health
15.	22.58271	good health
16.	24.67702	good health
17.	16.52893	Under weight
18.	23.87511	good health

Roll. No	Square of Height	Weight in Kg	BMI
19.	2.56	42	16.40625
20.	2.5281	45	17.79993
21.	2.6244	49	18.67093
22.	2.5281	50	19.7777
23.	2.8224	65	23.03005
24.	2.89	70	24.22145
25.	3.0625	80	26.12245
26.	2.7225	60	22.03857
27.	3.0625	68	22.20408
28.	3.0976	68	21.95248
29.	3.2041	80	24.96801
30.	2.4336	45	18.49112
31.	2.5921	56	21.6041
32.	2.8561	54	18.9069
33.	2.6569	53	19.94806
34.	2.7556	63	22.86253
35.	3.0625	79	25.79592
36.	2.7225	43	15.79431

Calculation:- Case 1 (Boys):-

BMI for roll. No. 19 = ^weight₂

Height²

= 42 1.6²

= 42 2.56

= 16.86

Similarly calculated BMI for all boys.

Roll.No	Weight in Kg	Square of Height	BMI
19.	42	2.3716	16.86625
20	45	2.4964	18.02596
21	49	2.56	17.1875
22	50	2.5281	25.71101
23	65	2.3716	23.19109
24	70	2.4025	17.89802
25	80	2.4336	23.01118
26	60	2.3716	24.03441
27	68	2.3409	18.369
28	68	2.4964	15.22192
29	80	2.5281	23.33768
30	45	2.56	17.57813
31	56	2.5921	21.6041
32	54	2.6244	20.57613
33	53	2.6569	22.58271
34	63	2.7556	24.67702
35	79	2.7225	16.52893
36	43	2.7225	23.87511

Result of Student's Health according to following table:-

BMI	Health
Less than 20	Under weight
20-25	Good health
25-30	Over weight
30 and above	Obese(Very fat)

Roll. No. 19 Under weight Roll. No. 23 has good health Roll No. 25 is over weight There is no obese boy.

Roll.No	BMI	Health
19.	16.86625	Under weight
20	18.02596	Under weight
21	17.1875	Under weight
22	25.71101	Over weight
23	23.19109	Good health
24	17.89802	Under weight
25	23.01118	Good health
26	24.03441	Good health
27	18.369	Under weight
28	15.22192	Under weight
29	23.33768	Good health
30	17.57813	Under weight
31	21.6041	Good health
32	20.57613	Good health
33	22.58271	Good health
34	24.67702	Good health
35	16.52893	Under weight
36	23.87511	Good health

Result the health of most of the students falls in the two categories under weight and good height.

Suggestion:- The under weight students need to take care of their diet to improve their health.

Objective To investigate the health of students of a class based on the Body Mass Index (BMI). Where BMI = 2 weight Height Description Measured the heights of all students in my class. Measured their weights in kg. Established the relationship between height and weight for boys and girls separately. Body Mass Index (BMI) For Girls:- Roll. No of Student Height in m Weight in Kg 1. 1.54 36 2. 1.58 45 3. 1.60 44 4. 1.59 56 5. 1.54 55 6. 1.55 43 7. 1.56 56 8. 1.54 57 9. 1.53 43 10. 1.58 38 11. 1.59 59 12. 1.60 45 13. 1.61 56 14. 1.62 54 15. 1.63 53 16. 1.66 52 17. 1.65 45 18. 1.65 43 Calculation:- Case 1 (Girls):- BMI for roll. No. 1 = 2 weight Height = 2 36 1.54 = 36 2.37 =15.18 Similarly calculated BMI for all girls. Roll.No Weight in Kg Square of Height BMI 1. 40 2.3716 16.86625 2. 45 2.4964 18.02596 3. 44 2.56 17.1875 4. 65 2.5281 25.71101 5. 55 2.3716 23.19109 6. 43 2.4025 17.89802 7. 56 2.4336 23.01118 8. 57 2.3716 24.03441 9. 43 2.3409 18.369 10. 38 2.4964 15.22192 11. 59 2.5281 23.33768 12. 45 2.56 17.57813 13. 56 2.5921 21.6041 14. 54 2.6244 20.57613 15. 60 2.6569 22.58271 16. 68 2.7556 24.67702 17. 45 2.7225 16.52893 18. 65 2.7225 23.87511 Result of Student’s Health according to following table:- BMI Health Less than 20 Under weight 20-25 Good health 25-30 Over weight 30 and above Obese(Very fat) Roll. No. 1 Under weight Roll. No. 5 has good health Roll No. 4 is over weight There is no obese girl. Roll.No BMI Health 1. 16.86625 Under weight 2. 18.02596 Under weight 3. 17.1875 Under weight 4. 25.71101 over weight 5. 23.19109 good health 6. 17.89802 Under weight 7. 23.01118 good health 8. 24.03441 good health 9. 18.369 Under weight 10. 15.22192 Under weight 11. 23.33768 good health 12. 17.57813 Under weight 13. 21.6041 good health 14. 20.57613 good health 15. 22.58271 good health 16. 24.67702 good health 17. 16.52893 Under weight 18. 23.87511 good health Roll. No Square of Height Weight in Kg BMI 19. 2.56 42 16.40625 20. 2.5281 45 17.79993 21. 2.6244 49 18.67093 22. 2.5281 50 19.7777 23. 2.8224 65 23.03005 24. 2.89 70 24.22145 25. 3.0625 80 26.12245 26. 2.7225 60 22.03857 27. 3.0625 68 22.20408 28. 3.0976 68 21.95248 29. 3.2041 80 24.96801 30. 2.4336 45 18.49112 31. 2.5921 56 21.6041 32. 2.8561 54 18.9069 33. 2.6569 53 19.94806 34. 2.7556 63 22.86253 35. 3.0625 79 25.79592 36. 2.7225 43 15.79431 Calculation:- Case 1 (Boys):- BMI for roll. No. 19 = 2 weight Height = 2 42 1.6 = 42 2.56 =16.86 Similarly calculated BMI for all boys. Data for Boys:- Roll.No Weight in Kg Square of Height BMI 19. 42 2.3716 16.86625 20 45 2.4964 18.02596 21 49 2.56 17.1875 22 50 2.5281 25.71101 23 65 2.3716 23.19109 24 70 2.4025 17.89802 25 80 2.4336 23.01118 26 60 2.3716 24.03441 27 68 2.3409 18.369 28 68 2.4964 15.22192 29 80 2.5281 23.33768 30 45 2.56 17.57813 31 56 2.5921 21.6041 32 54 2.6244 20.57613 33 53 2.6569 22.58271 34 63 2.7556 24.67702 35 79 2.7225 16.52893 36 43 2.7225 23.87511 Result of Student’s Health according to following table:- BMI Health Less than 20 Under weight 20-25 Good health 25-30 Over weight 30 and above Obese(Very fat) Roll. No. 19 Under weight Roll. No. 23 has good health Roll No. 25 is over weight There is no obese boy. Roll.No BMI Health 19. 16.86625 Under weight 20 18.02596 Under weight 21 17.1875 Under weight 22 25.71101 Over weight 23 23.19109 Good health 24 17.89802 Under weight 25 23.01118 Good health 26 24.03441 Good health 27 18.369 Under weight 28 15.22192 Under weight 29 23.33768 Good health 30 17.57813 Under weight 31 21.6041 Good health 32 20.57613 Good health 33 22.58271 Good health 34 24.67702 Good health 35 16.52893 Under weight 36 23.87511 Good health Result the health of most of the students falls in the two categories under weight and good height. Suggestion:- The under weight students need to take care of their diet to improve their health.

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Maths Project on Body Mass Index (BMI)

Body Mass Index (BMI)

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