Reference no: EM132848133

Question-1:

Evaluate the following statements

a. The Range of the coefficient of Kurtosis is from zero to infinity

b. The Coefficient of Variation of 5,5,5 is 1.5

c. The Mean Deviation from Mean is always than the M.D from the Median

d. Ideal Average is less affected by the changes in the Sampling distribution

Question-2: For the following data of weights of 100 individuals in kilograms, determine the simple Mean, Harmonic Mean, Geometric means, Median and Mode.

Weights in k.g frequency

75-80 2

70-75 8

65-70 17

60-65 19

55-60 23

50-55 16

45-55 9

40-45 6

Question-3: What are the Mean and Standard Deviation of the following samples when combined into one distribution of 225 cases?

Sample A: N1=150; µ1=120 and σ1=20

Sample B: N2=75; µ2=126 and σ2=22

Question-4: The Standard Deviation of Two numbers is 2 and their Mean is 7, find the numbers.

Question-5: For the following data, calculate the first four Raw Moments about 10 as origin and then determine the Moments about Mean

X 2 6 10 14 18 22

f 1 2 6 15 4 2

Question-6: Given the following data

40,46,42,51,46,48,41,47,44,45

The Mean, Median and Mode of the grades in Economics are 45, 45.5 and 46 respectively .What should be their value if

a. Each item is increased by a constant amount 40 of the above series

b. Every item of the series is divided by 3 of the above series

c. Each grade is multiplied by a constant 5 of the above series