1) Calculate arithmetic mean of:

a. Wages: 75, 100, 120, 150, 200
Total

b. Workers: 5, 12, 20, 14, 9 60

2) Calculate the median age:

a. Age Years (Less than): 10, 20,
30, 40, 50, 60, 70, 80

b. No. of persons: 4, 16, 40, 76,
96, 112, 120, 125

3) Calculate Spearman’s Rank
Correlation:

a. Trainees: A, B, C, D, E, F, G,
H, I, J

b. X Rank: 1, 6, 3, 9, 5, 2, 7,
10, 8, 4

c. Y Rank: 6, 8, 3, 7, 2, 1, 5, 9,
4, 10

4) Calculate Standard Deviation:

a. Roll No: 101, 102, 103, 104,
105

b. Marks: 10, 30, 20, 25, 15

5) From a bag containing 3 yellow
and 2 blue balls, 2 balls are picked randomly. Find probability that they are
of the same colour?

6) Find the missing frequency from
the following if Mean is 38

a. Marks: 10, 20, 30, 40, 50, 60,
70

b. No. of Students: 8, 11, 20, 25,
?, 10, 3

7) Calculate mode :

a. Central Value: 70, 90, 110,
130, 150

b. Frequency: 43, 78, 83, 125, 87

8) Find the coefficient of
correlation for the data:

a. X: 11, 12, 18, 24, 23, 27

b. Y: 13, 18, 12, 25, 30, 10

9) Fit a Linear Trend Equation by
the method of Least Squares:

a. Year: 2000, 2001, 2002, 2003,
2004, 2005, 2006

b. Net profit Rs. In crores: 32,
36, 44, 37, 71, 72, 109