Avocados for export are graded according to their weights.They are graded as poor grade if their weight falls below 300 gms, good grade if between 300 gms and 400 gms, and average grade if above 400 gms. The following table shows the distribution of avocados supplied for export by one farmer

Weight (in gms)

Number of Avocados

0 and less than 100

4

100 and less than 200

10

200 and less than 300

X

300 and less than 400

Y

400 and less than 500

Z

500 and less than 600

6

600 and less than 700

4

TOTAL

230

The median and mode of the distribution of avocados supplied for export by the farmer is known to be 335 gms and 340 gms respectively.

Required:

a)Suppose the farmer receives Kshs 5 for each avocado graded as poor, Kshs 15 for

each good grade avocado, and Kshs 10 for each average one.How much is the farmer likely to take home for his supply?

b)Based on the distribution of avocado supplied by the farmer in a) compute:

(i)Mean gms

(ii)Standard deviation gms

(iii)Coefficient of skewness