Using the data from Problem 1.6:

(a) Calculate the mean, median and mode of the distribution. Why do they differ?

(b) Calculate the inter-quartile range, variance, standard deviation and coefficient of variation of the data.

(c) Calculate the coefficient of skewness of the distribution.

Problem 1.6

The data below show the number of manufacturing plants in the UK in 1991/92 arranged according to employment:

Number of employees ....................... Number of firms
1– 95 ........................................................... 409
10– ........................................................... 15 961
20– ........................................................... 16 688
50– ........................................................... 7 229
100– ........................................................... 4 504
200– ........................................................... 2 949
500– ........................................................... 790
1000– ........................................................... 332