# Modelling the mass of banana fruit by geometrical attributes Essay

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Some selected physical characteristics of the banana such as mass, true volume, bulk density, true density, geometric mean diameter, surface area etc and their statistics such as mean, standard deviation (SD) and standard error (SE) were presented in Tab. 1. These two statistics measure the consistency of the data.
Table 1 Physical properties of banana var. Grand Nain
S.No Physical properties Mean SD Min Max SE CV,%
1 Mass (M), g 139.65 7.66 126.05 154.29 1.47 5.48
2 True volume (V), cm3 136.33 9.86 118.00 157.00 1.90 7.24
3 Ellipsoidal volume (Vell) , cm3 117.92 9.09 98.15 131.33 1.75 7.70
4 Ellipsoidal ratio 1.08 0.02 1.05 1.12 0.00 2.14
5 Fruit density (TD), g/cm3 1.03 0.03 0.98 1.11 0.01 3.20
6 Bulk density (BD), g/cm3 0.41 0.03 0.35 0.46 0.01 6.54
7 Length (L), cm 16.99 0.71 15.45 18.20 0.14 4.20
8 Width (W), cm 3.78 0.08 3.61 3.91 0.02 2.21
9 Thickness (T), cm 3.50 0.10 3.31 3.68 0.02 2.81
10 Mean diameter, cm 3.56 0.18 3.25 4.04 0.03 5.07
11 Geometrical mean diameter (Dg), cm 6.08 0.16 5.72 6.31 0.03 2.63
12 Arithmetic mean diameter (Da), cm 8.09 0.28 7.48 8.54 0.05 3.40
13 Surface area by graph (Sg) , cm2 115.84 9.31 99.17 133.28 1.79 8.04
14 Surface area by Jean & Ball, cm2 108.77 6.06 95.25 118.16 1.17 5.58
15 Surface area by McCabe, cm2 116.20 6.04 102.88 124.93 1.16 5.20
SD-Standard Deviation, Min-Minimum, Max-Maximum, SE-Standard Error, CV-Coefficient of variance

Standard deviation measures the degree to which the value of the individual sample differ from the sample mean. More number of replication decreases the standard deviation value. From the table 1, it is observed that standard deviation is ranging from 0.02 to 9.86 and found that the data are consistence within the replicates. Standard error estimated th...

... middle of paper ...

...rnational agrophysics, 16 (4),301-306.
[24] Tabatabaeefar, A., Rajabipour, A. 2005. Modeling the mass of apples by geometrical attributes. Scientia Horticulturae, 105 (3),373-382.
[25] Tabatabaeefar, A., Vefagh-Nematolahee, A., Rajabipour, A. 2000. Modeling of orange mass based on dimensions. Journal of Agricultural Science and Technology, 2 (4),299-305.
[26] Topuz, A., Topakci, M., Canakci, M., Akinci, I., Ozdemir, F. 2005. Physical and nutritional properties of four orange varieties. Journal of Food Engineering, 66 (4),519-523.
[27] Visvanathan, R., Palanisamy, P., Gothandapani, L., Sreenarayanan, V. 1996. Physical properties of neem nut. Journal of Agricultural Engineering Research, 63 (1),19-25.
[28] Wilhelm, L., Suter, D., Brusewitz, G. 2005. Physical properties of food materials. Food and Process Engineering Technology ASAE, St Joseph, Michigan, USA,23-52.

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