(a) The mean of a data is given by:
![\operatorname{mean}=(\Sigma x_i)/(n)]()
where xi are the elements of the data and n the total number of elements.
Based on the given table you have for the mean:
mean = (42+47+67+59+49+56+59+44+48+50+63+58+44+50+72+64+62+41+46+38+39+44+78+51+53+33+56+70+64+47+51+68+90+39+44+45+54)/37
mean = (1985)/37
mean = 53.65 kg
Then, the mean of the given data is 53.65 kg
The median is the element at the center of the ordered list. To determine the median order the given data, as follow:
33 38 39 39 41 42 44 44 44 44 45 46 47 47 48 49 50 50 51 51 53 54 56 56 58 59 59 62 63 64 64 67 68 70 72 78 90
Due to number of element is 37, the median is the element at the position 19. Such an element is 51. Then:
median = 51 kg
The mode is the most repeated element. As you can notice in the given table, you obtain:
mode = 44 kg