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First Semester Master of Planning (Housing) Degree Examination, June 2009

(2008 Scheme)

APM 1001 : STATISTICS FOR PLANNING

Time : 3 Hours Max. Marks : 100

PART – A

Answer any four questions. (4×5=20 Marks)

1. Discuss briefly the importance of statistics in planning.

2. Explain the various factors to be considered in the construction of a frequency

table.

3. Determine the Binomial distribution for which the mean is 4 and variance is 3.

4. The two regression equations of the variables x and y are x = 19.13 – .87 y andy = 11.64 – .50 x. Find the mean of x’s, mean of y’s and correlation coefficient

between x and y.

5. Define the terms (a) Feasible solution (b) Basic Feasible solution (c) Optimal

solution (d) Slack variable and (e) Surplus variable.

PART – B

Answer any four questions. (4×20=80 Marks)

6. a) Calculate the median and mode for the following data :

Class : 5 – 10 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40 40 – 45

Frequency: 5 6 15 10 5 4 2 2

b) Draw the Histogram for the above data.

c) Find the mean and standard deviation for the above data [the data given in

question no : 6 (a)]

Reg. No. : ................................

Name : .....................................

P.T.O.



3684 -2-

7. a) If the probability of a bad reaction from a certain injection is .001, determine the

chance that out of 2000 individuals more than two will get a bad reaction. [use

Poisson distribution]

b) If X is normally distributed with mean 12 and standard deviation 4 find out the

probability of the following :

i) X≥ 20 ii) X ≤ 20 iii) 8 ≤ X ≤ 12.

8. a) What is sampling ? What are the advantages of sampling ?

b) Write short notes on

i) random sampling

ii) stratified random sampling

iii) systematic sampling.

9. a) In experiments on pea breeding, the following frequencies of seeds were obtained

Round and Yellow Wrinkled and Yellow Round and Green Wrinkled and Green Total

315 101 108 32 556

Theory predicts that the frequencies should be in proportions 9 : 3 : 3 : 1.

Examine the coresspondence between theory and experiment.

b) Solve graphically the following L.P.P.

Maximize : z = 3x1 + 4x2

s.t. : 4x1 + 2x2≤ 80

2x1 + 5x2 ≤ 180

x1, x2 ≥ 0.



10. a) Determine the optimal transportation plan from the following data giving the

plant to market shifting costs, quantities available at each plant and quantitiesrequired at each market :

Plant Required

Market P1 P2 P3 P4 at Market

M1 19 14 23 11 11

M2 15 16 12 21 13

M3 30 25 16 39 19

Available at 6 10 12 15 43 Plant

b) Solve the following minimal assignment problem :

Man → 1 2 3 4

Job

I 12 30 21 15

II 18 33 9 31III 44 25 24 21

IV 23 30 28 14

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