**[OBJECTIVE]**

**Subject:** Business Statistics

**Time Allowed:** 15 Minutes

**Max Marks:** 10

**NOTE:** Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.

__Part-I Answer the following Questions, cutting and overwriting are not allowed. (10)__

The number of occurrences of a data value is called:

(a) Frequency (b) Cumulative frequency

(c) Relative frequency (d) All of above

The value that occurs most often In a set of data is called the

(a) Mean (b) Median

(c) Mode (d) Weight mean

In a positively skewed distribution, the mean is always:

(a) Smaller than the median (b) Equal to the median ;

(c) Larger than the median (d) Equal to the mode

Which one of the following is not a measure of dispersion

(a) Range (b) Standard deviation

(c) Second quartile (d) Quartile deviation

If the tail of a frequency curve is to the right, the co-efficient of skewness is

(a) Zero (b) Positive

(c) Negative (d) None of the above

The strength of a linear relationship between Y and X is measured by

(a) Correlation Co-efficient (b) Regression Co-efficient

(c) Co-efficient of determination (d} None of above

In the regression Y = α + βX + ∈, X and Y variables are:

(a) Both random (b) X is fixed and Y is random

(c) X is random and Y is fixed (d) Both fixed

The consumer price index is basically

(a) A fixed weight index (b) A Laspeyre’s index

(c) None the above (d) Both of the above

A random variable is also known as a:

(a) Chance variable (b) Stochastic variable

(c) Variate (d) All of above

A discrete probability distribution may be represented by:

(a) A table (b) A mathematical function

(c) A line graph (d) All of above

**[SUBJECTIVE]**

**Subject:** Business Statistics

**Time Allowed:** 2 Hours 45 Minutes

**Max Marks:** 50

**NOTE:** ATTEMPT THIS (SUBJECTIVE) ON SEPARATE ANSWER SHEET PROVIDED

__Part-II Give Short Answers, Each question carries equal marks. (20)__

**Q#**1: Median and Mode

**Q#**2: Absolute and Relative measures of dispersion

**Q#**3: Co-efficient of skewness

**Q#**4: Regression and correlation .

**Q#**5: Consumer price index number

__Part-III Give Long Answers, Each question carries equal marks. (30)__

**Q#**3: Following is the frequency distribution for the weight of some pieces of luggage.

**Classes:** 7-9 10-12 13-15 16-18 19-21 22-24

**Frequency:** 2 8 14 19 10 6

**(a)** Compute Bowley’s Co-efficient of skewness

**(b)** Co-efficient of variation

**Q#**4: The following data (codded) shows the amount of sugar obtained (Y) in a certain process at various temperature (X)

**X:** 10 11 12 13 14 15 16 17 18 19 20

**Y:** 81 78 85 98 95 89 86 102 93 92 105

Obtained linear regression Y on X and correlation Co-efficient between Y and X.

**Q#**5: The following data represent the number of packages of 4 popular brands of cigarettes sold by a super market on 6 randomly selected days.

**A** 21 35 32 28 14 47

**Brand** **B** 35 42 27 41 19 33

**C** 45 60 33 36 31 40

**D** 32 53 29 42 40 53

Perform an analysis of variance, at the 0.05 level of significance and determine whether or not the 4 brands sell, on the average, the same number of cigarettes at this super market.