Assignment for BBA 2nd Semester 1. The following distribution represents the number of minutes spent by a group of teenagers in going to movies: Minutes/Week Number of Minutes/Week Number of teenagers teenagers 0-100 27 400-500 58 100-200 32 500-600 38 200-300 65 600-700 9 300-400 78 Calculate: i) arithmetic mean, geometric mean, harmonic mean, median & mode. ii) Draw a histogram and locate mode also draw an ogive and locate median, Q1 & Q3. 2. From the following table: Income (in Tk.) No. of employees Income (in Tk.) No. of employees 300-400 30 700-800 60 400-500 46 800-900 50 500-600 58 900-1000 20 600-700 76 Calculate: mean deviation, coefficient of mean deviation, standard deviation, quartile deviation, coefficient of variation & coefficient of quartile deviation. 3. The daily expenditure of 100 families are given below: Price (Tk.) 80-90 90-100 100-110 No. of 11 18 39 110-120 17 120-130 15 families Calculate: i) the first four moments about the value 105. Convert the result into moments about the mean. ii) Compute the value of β1 & β2 and comment on the result. iii) Bowlay’s and Karl Pearson’s coefficient of skewness. 4. The following data relate to the prices and sales of a commodity: Price (Tk.) 103 98 85 92 90 84 88 90 Sales (Units) 500 610 700 630 670 800 800 750 Calculate: i) the coefficient of correlation between price and supply. ii) regression coefficients of supply on price and that of price on supply. iii) regression equations of supply on price and that of price on supply. 93 700 95 680