The following data shows the weight (in kg) of 13 crabs found in a restaurant on a particular evening: 3.4 1.2 1.7 2.4 2.4 1.1 0.9 0.8 1.2 0

The following data shows the weight (in kg) of 13 crabs found in a restaurant on a particular evening: 3.4 1.2 1.7 2.4 2.4 1.1 0.9 0.8 1.2 1.3

(i) Compute the mean and median

3.4      1.2     1.7      2.4      2.4    1.1    0.9    0.8    1.2     1.3         I onlu count 10 crabs,

For the median I must put them in order.

0.8      0.9      1.1     1.2     1.2     1.3     1.7    2.4      2.4    3.4      

There are 2 middle ones so the median is    (1.2+1.3)/2= 1.25Kg

For the mean, add them all up and divide by 10 (because there are 10 crabs)

(0.8+0.9+1.1+1.2+1.2+1.3+1.7+2.4+2.4+3.4)/10 = 1.64Kg                       

(ii) Determine the shape of the distribution based on the sample data. Explain your conclusion