## Statistics Past Papers

- Statistics and Probability
- Communication Skills past papers
- Business Mathematics and Statistics Past Papers
- Elementary Statistics 1 Past Papers
- Statistics Past papers
- Probability and Probability Distributions Past Papers
- Business Statistics Past Papers
- Statistics 2 Past Papers
- Elementary Statistics Past Papers
- Probability and Statistics Past Papers
- Statistics 3 Past Papers
- Educational Statistics Past Papers
- Principle of Systematics Past Papers
- Measure Theory and Lebesgue Integration Past Papers
- Theory of Approximation and Splines Past Papers

**[OBJECTIVE]**

**Subject:** Statistics-I

**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 Encircle the right answer, cutting and overwriting are not allowed. (10)__

In general, which of the following statements is FALSE?

a) The sample mean is more sensitive to extreme values than the median.

b) The sample range is more sensitive to extreme values than the standard deviation.

c) The sample standard deviation is a measure of spread around the sample mean.

d) The sample standard deviation is a measure of central tendency around the median.

Which of the following statements is NOT true?

a) In a symmetric distribution, the mean and the median are equal.

b) The first quartile is equal to the twenty-fifth percentile.

c) In a symmetric distribution, the median is halfway between the first and the third quartiles.

d) The median is always greater than the mean.

The least squares regression line is the line:

a) Which is determined by use of a function of the distance between the observed Y and the predicted Y.

b) Which has the smallest sum of the squared residuals of any fine through the data values

c) for which the sum of the residuals about the line is zero.

d) which has all of the above properties

Which of the following is a limitation of Statistics?

a) Statistical results can be generalized for the population b) Statistical laws are exact.

c) Statistics docs not study individuals. d) All of these

A small part of the population is called:

a) Finite Population b) Infinite Population

c) Sample d) Parameters

**[SUBJECTIVE]**

**Subject:** Statistics-I

**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: Measures of Central Tendency

**Q#**2: Measures of Dispersion

**Q#**3: Index Numbers

**Q#**4: Properties of Correlation Coefficient

**Q#**5: Components of Time Series

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

**Q#**3: **(a)** A distribution consists of 3 components with frequencies 45, 40 and 65, having their means 2, 2.5 and 3 respectively. The standard deviations of the three components are 1.5, 2.0 and 25 respectively. Find the combined standard deviation.

**(b)** The following data gives the runs made by two players in their 10 innings:

Player A: 40 48 80 10 75 20 60 35 42 100

Player B: 45 42 38 40 35 41 50 42 39 48

**i**. Which player is better on average run getter?- Which player is more consistent than the other player?

**Q#**4: The following table represents the death rate (y) in road accidents (per 100) and the maximum speed limit (x: miles per hour) in different countries.

Y: 3.0 3.3 3.4 3.5 4.1 4.3 4.7 4.9 5.1 6.1

X: 55 55 55 70 55 60 55 60 60 75

**i**: Estimate a linear regression model Y on X from the data.

**ii**. What would be the expected death rate when speed limit is 65 miles per hour?