The following tables show the shoe sizes of a sample of middle school students f

Question

The following tables show the shoe sizes of a sample of middle school students from Roosevelt Middle School. Based on the data in the two tables, what is the difference in the mean shoe sizes between the boys and the girls? The boys have an average shoe size that is approximately 1.1 sizes larger than the girls'. The girls have an average shoe size that is approximately 2.3 sizes smaller than the boys'. The boys have an average shoe size that is approximately 2.3 sizes larger than the girls'. The girls have an average shoe size that is approximately 1.1 sizes larger than the boys'.

Explanation / Answer

boys

Total = 2 x 0 + 2.5 x 12 + 3 x 29 + 3.5 x 37 + 4 x 71 + 4.5 x 44 + 5 x 9 + 5.5 x 3 = 790
F = 205
Mean = 790/205
Mean = 3.8536

girls

Total = 2 x 3 + 2.5 x 31 + 3 x 72 + 3.5 x 54 + 4 x 32 + 4.5 x 8 + 5 x 2 + 5.5 x 0 = 662.5
F = 202
Mean = 662.5/202
Mean = 3.2797

difference of mean =3.8536-3.2797 =0.5799

   option 1

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