**Q. 1.** (a) Give two functions of Statistics.

(b) Find the missing figure : Median=Mode + ? (Mean – Mode).

(c) List the various methods of measuring dispersion.

(d) Can the values of mean, mode and median be the same ? If yes, state the situation.

(e) An overall rise or fall in a time series is called……

**Answer :**

**Q. 2.** (a) A motorist took 12 hours to travel from place A to place B, which are situated 300 kms apart. On the return journey he took 15 hours to cover this distance. What is the average speed of the motorist ? 4

(b) Share prices of two companies A Ltd. and B Ltd. were recorded as follows:

**A Ltd. , BLtd.**

12 , 113

13 , 114

15 , 113

14 , 115

14 , 117

14 , 114

13 , 112

17 , 114

Which company’s share prices are more variable ?

(c) What do you mean by time reversal test for index number ? Show that Laspeyre’s and Paasche’s index number do not satisfy it and that Fisher index does.

**Answer :**

**Q, 3.** (a) What are index number ? Why are they called economic barometers ? 6

(b) From the following data compute coefficient of correlation between X and Y:

** X Series , Y Series**

**No. of items ** 15 , 15

**Arithmetic Mean** 25 , 18

**Square of deviations from**

Arithmetic Mean 136 , 138

**Summation of products of deviations**

X and Y series from their respective

arithmetic means 122

(c) Pearson’s coefficient of skewness for a distribution is 01 and coefficient of variation is 30%, Its mode is 88. Find the mean and median,

**Answer :**

**Q. 4.** (a) Explain in brief the meaning of secondary data. State its

chief sources. 6

(b) In a frequency distribution, coefficient of skewness based ion quartiles is 0.6. If the sum of upper and lower quartiles is 100 and median is 38, find the values of iower and upper quartiles.

(c) The frequency distribution of marks obtained by 60 students of a class in a college is given below :

**Marks , No. of Students**

30-34 , 3

35-39 , 5

40-44 , 12

45-49 , 18

50-54 14

55-64 , 8

Draw Histogram for the distribution and find the modal value. 7

**Answer :**

**Q. 5.** (a) What is scatter diagram and how is it useful in the study of correlation ? 4

(b) What do you mean by classification of data? Discuss in brief the bases of classification. 6

(c) Find the trend of the following time series by the method of moving average (assume a four yearly cycle): 10

**Year , Value**

1989 , 53

1990 , 79

1991 , 76

1992 , 66

1993 , 69

1994 , 94

1995 , 105

1996 , 88

1997 , 80

1998 , 104

1999 , 98

2000 , 96

2001 , 102

2002 , 106

**Answer :**