Karnataka 2nd PUC Statistics Model Paper 2024: Kannada Medium and English Medium PDF
Karnataka 2nd PUC Statistics Model Paper 2024: KSEAB, DPUE has recently published Karnataka 2nd PUC Statistics Model Question Paper 2024 in its official portal. In this page we have given Karnataka Class 12 Statistics Model Question Paper in PDF. The Board has also published Blue Print of II PUC on dpue-exam.karnataka.gov.in.
Karnataka 2nd PUC Statistics Model Question Paper 2024: Overview
- Board – Karnataka State Board.
- Class – Class 12.
- Topic – Karnataka 2nd PUC Model Paper.
- Subject – Statistics.
- Year – 2023 – 24.
Section – A
I.) Choose the correct answer from the choices given:
1.) The expected number of years that a new born baby would live is called
a) Cohort
b) Radix
c) Longevity
d) Survival ratio
2.) The prices of items increased by 10% in 2012 as compared to 2010. Then the index number for the year 2010 is
a) 110
b) 10
c) 100
d) 0
3.) Following is the probability distribution of a binomial variate:
X | 0 | 1 | 2 | 3 | 4 |
P(X) | 0.0625 | 0.25 | 0.375 | 0.25 | 0.0625 |
The mode of the distribution is
a) 4
b) 2
c) 3
d) 1
4.) There are four possible decisions under the testing of null hypothesis (H0):
i) Accept H0 when it is true
ii) Reject H0 when it is not true
iii) Accept H0 when it is not true
iv)Reject H0 when it is true
The correct decisions are
a) i and ii
b) iii and iv
c) i and iii
d) ii and iv
5.) The cost associated with the maintenance of an inventory until they are sold or used is called
a) Capital cost
b) Setup cost
c) Shortage cost
d) Holding cost.
II.) Fill in the blanks by choosing the appropriate word from those given in the brackets: (Chance, Fisher’s, Balanced, Parameter, Strategy, Bell)
6.) Both time reversal test and factor reversal tests are satisfied by __________ index number.
7.) The t-curve is __________shaped.
8.) A statistical constant of the population is called a ______________.
9.) A small amount of variation for which no specific cause can be attributed is termed as ___________cause of variation.
10.) The ____________ of a player is the pre-determined rule by which a player determines his course of action.
III.) Match the following:
A B
11.) N.R.R. per woman = 1.2 (a) Inventory Model II
12.) Index numbers (b) X = 0, 1
13.) The range of Bernoulli distribution (c) Population increases
14.) H1: μ >50 (d) Economic barometers
15.) Shortages are allowed (e) H0: μ = 50 (f) Historigram
IV.) Answer the following questions:
16.) Define fertility.
17.) Which variation of time series is predictable?
18.) Write the relation between mean and variance of a Bernoulli distribution.
19.) Define null hypothesis.
20.) When is a transportation problem balanced?
Section – B
V.) Answer any Five of the following questions:
21.) Diagrammatically represent ‘Business Cycle’ with stages.
22.) Write two assumptions of interpolation and extrapolation.
23.) Find the mean of a Hyper geometric distribution whose parameters are a = 4, b = 6 & n = 5
24.) Find the standard deviation of a chi-square distribution with 8 d.f.
25.) A random sample of size 36 is drawn from a population whose standard deviation is 4. Compute standard error of the sample mean.
26.) Define ‘point estimation’ and ‘interval estimation’.
27.) If P’ = 0.02 and n = 25, calculate upper control limit for np–chart.
28.) Test whether solution for the following T.P. is non-degenerate?
Section – C
VI.) Answer any FOUR of the following questions:
29.) Calculate the cost of living index number for the following data. Comment on the result.
Items | Prices (Rs.) | Weights | |
2012 | 2018 | ||
Food | 4000 | 6000 | 15 |
Clothing | 2500 | 3500 | 08 |
Housing | 6000 | 9000 | 12 |
Fuel | 1000 | 1500 | 10 |
Others | 1600 | 2000 | 15 |
30.) Following is data regarding annual life insurance premium. Using binomial expansion method estimate the premium at the age 30 and 45 years.
Age (in Years) | 20 | 25 | 30 | 35 | 40 | 45 |
Premium (in Rs.) | 1426 | 1581 | – | 1996 | 2256 | – |
31.) The probability that a team winning the game is 3/5. If this team participates in 6 games, then find the probability that it wins in i) all the games ii) more than one game.
32.) Fit a Poisson distribution for the following data.
Number of mistakes per page | 0 | 1 | 2 | 3 | 4 and more |
Number of pages | 20 | 45 | 30 | 5 | 0 |
33.) Test whether there is any significant difference in the population proportions at 5% level of significance, from the following data.
Size | Proportion | |
Sample I | 100 | 0.02 |
Sample II | 200 | 0.01 |
34.) From the following 2 × 2 contingency table test whether result depends on family condition of the students are independent. (Use 1% L.O.S.)
35.) Solve the following game using the principle of dominance. Is the game fair?
36.) The purchase price of a machine A is Rs. 5000. Its resale value and maintenance costs are as follows:
Year | 1 | 2 | 3 | 4 | 5 |
Maintenance cost (Rs.) | 100 | 200 | 300 | 510 | 860 |
Resale value (Rs.) | 3000 | 2500 | 2000 | 1500 | 1000 |
What would be the optimum replacement period?
VII.) Answer any TWO of the following questions:
37.) Height of a group of candidates who attended the Agniveer army selection camp follows normal distribution with mean and S.D of height of candidates is 160cm and 3.9cm respectively. The minimum required height for Agniveer army selection is 165cm. Show that only 10% of the above group is eligible.
38.) A machine is designed so as to fill the bottles with mean 1litre of cold pressed ground nut oil. A sample of 26 bottles when measured had a mean content of 998 ml. with S.D. of 5 ml. Test at 5% level of significance whether the machine is functioning properly.
39.) Following table gives mean (x ) and Range (R) of samples of size 5 each.
Sub group number | 1 | 2 | 3 | 4 | 5 | 6 |
Mean (x ) | 52 | 49 | 53 | 48 | 51 | 47 |
Range (R) | 9 | 11 | 10 | 12 | 8 | 10 |
Find the control limits for drawing x – chart
40.) F1 and F2 are two types of foods are used to get minimum supplements of vitamins B and C. Using graphical method for the following Linear Programming Problem model, find how much quantities of foods are needed to optimize the cost:
OR
(For Visually challenged students only)
There are two types of foods F1 and F2 each containing different proportions of vitamins B and C. Food F1 contains 2 units of vitamin B and 2 units of vitamin C. Food F2 contains 3 units of vitamin B and 1 unit of vitamin C. The minimum daily requirement of vitamins B and C for a person is 12 and 8 units respectively. One unit of food F1 costs Rs.10 and one unit of food F2 costs Rs. 5. Formulate the L.P.P. to optimize the expenditure.
Section – D
III.) Answer any TWO of the following questions:
41.)Calculate the standardized death rates for both Localities A and B from the following data. State which locality is healthier?
Age-group (in years) | Locality – A | Locality – B | Standard Population
|
||
Population | Deaths | Population | Deaths | ||
0 – 10 | 6,000 | 60 | 7,000 | 84 | 4,000 |
10 – 20 | 10,000 | 80 | 15,000 | 90 | 16,000 |
20 – 60 | 20,000 | 240 | 25,000 | 250 | 18,000 |
60 & above | 4,000 | 120 | 3,000 | 120 | 2,000 |
42.) Calculate the Laspeyre’s, Paasche’s and Dorbish- Bowley’s price index numbers from the following data.
Items
|
Base Year | Current Year | ||
Price (in Rs) | Quantity | Price (In Rs) | Quantity | |
Rice | 50 | 10 | 60 | 08 |
Wheat | 40 | 08 | 45 | 12 |
Dhal | 100 | 03 | 160 | 02 |
Oil | 80 | 02 | 120 | 03 |
43.) a) Following data shows the sales figures of a company. Mention the trend by calculating three yearly moving averages
Year | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 |
Sales (in thousand Rs) | 120 | 104 | 130 | 126 | 145 | 131 | 132 |
b) Following are the figures of production (in thousand quintals) of a sugar factory. Fit a straight line trend of the type Y = a + b x to this data.
Year | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 |
Production | 80 | 90 | 92 | 83 | 94 | 99 | 92 |
You can download more Karnataka Board 2nd PUC model question papers here – Karnataka Class 12 Model Paper
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