1) Consider the following frequency distribution

1) Consider the following frequency distribution.
classes        5410-5414   5415-5419   5420-5424    5425-2549   5430-5434
frequency              7                  11                  14                        13                    5

Find
i. Mean, mode and the median
ii. lower and upper quartile
iii. variance and standard deviation
iv. Estimate the mean and standard deviation using coding formula.

2. The following measures were computed for a frequency distribution :
Mean = 50, coefficient of Variation = 35% and Karl Pearson's Coefficient of Skewness
SK = - 0.25 p.
Compute Standard Deviation, Mode and Median of the distribution.

3. The following figures relate to the size of capital of 285 companies :
Capital (in Ks lacs.)   1-5     6-10    11-15    16-20    21-25    26-30    31-35
No. of companies       20.     27        29        38         48        53           70

Compute the Bowley's and Kelly's coefficients of skewness and interpret the results.