SCERT Kerala Class XII Statistics Sample Question Paper 2015

Organisation : State Council of Educational Research & Training
Exam : Higher Secondary Education Exam
Subject : Statistics
Document Type : Sample Question Paper
Year : 2015
Class : XII STD

Website : http://www.scert.kerala.gov.in
Download Sample Question Paper : https://www.pdfquestion.in/uploads/8499statisticsXII.pdf

SCERT Statistics Class XII Question Paper

Maximum : 60 Scores
Time: 2½ hrs
Cool off time : 15 Minutes

Related : SCERT Kerala Class XII Anthropology Sample Question Paper 2015 : www.pdfquestion.in/8497.html

Instructions

General Instructions to candidates :
** There is ‘Cool off time’ of 15 minutes in addition to the writing time of 2 hrs.
** You are neither allowed to write your answers nor to discuss anything with others during the ‘cool off time’.
** Use the ‘cool off time’ to get familiar with questions and to plant your answers.

** Read the questions carefully before answering
** All questions are compulsory and only internal choice is allowed.
** When you select a question, all the sub-questions must be answered from the same question itself.
** Calculations, figures and graphs should be shown in the answer sheet itself.

** Malayalam version of the questions is also provided.
** Give equations wherever necessary
** Electronics devices except nonprogrammable calculations are not allowed in the Examination Hall.

Model Questions

1. The profit function of a company is given by p(x)=3800+320x +8×2 . (Where x is the quantity of product). Estimate the maximum profit that the company can make.
2. Choose correct answerX~B (50, 0.8) Then V(X) = —————–
a) 10
b) 8
c)100
d) 4 (1)

Answer any one question from 4 and 5 :
4. 10% items produced by a machine are likely to be defective. 5 items are selected at random. Find the probability that not more than 2 items are defective.
OR
5. From past experience it is observed that only 0.2% of the candidates are selected in a recruitment process. If 1000 candidates appear in the test, find the probability of 3 persons are selected.

6. The students of a class were given an aptitude test. Their marks were found to be normally distributed with mean 60 and standard derivation 5. Find the percentage of students scored marks between 45 and 65.

7. a) Choose the correct answer
The name of control chart used for attribute is
i) x Chart
ii) R chart
iii) np chart
iv) C-chart

b) The following data refer to visual defectives found during inspection of the first 10 samples of100 each. Use them to obtain upper and lower control limits and construct np – chart. Hence interpret the result.

9. Choose the correct answer
The sum of values which are obtained by multiplying the possible values of a random variable with the probability of occurrence is called:
a. Discrete value
b. Weighted value
c. Expected value
d. Cumulative value. (1)
10. Choose the correct answer
The distribution function of a random variable will be:
a. Increasing function
b. Decreasing function
c. Constant function
d. Non decreasing function (1)

11. a) If Fisher’s Index number for certain commodity is 123.23 and Laspeyre’s index number is 124.70, find Paasche’s index number. (2)
b) Calculate the weighted aggregate index from the following data. (3)

12. a) Choose the correct answer.
If X follows standard normal distribution and Y follows chi- square distribution with degree of freedom 4, then t2 follows ………….. distribution.
i) F (1,n)
ii) F (1,4)
iii) F (1,16)
iv) F (0,4) (1)

b) Using SRSWOR, samples of size two from the data 2,3,6,8 and 11 are selected. Find the standard error of sample mean. (3)
13. The IQ’s of a group of six persons were measured after that they attended a written examination. The scores are as follows.

14. a) Choose the correct answer
Analysis of variance is a technique used to test the:
i. Variance
ii. Mean
iii. Covariance
iv. Correlation (1)
b) Complete the ANOVA table and carry out ANOVA. (4)

15. a) Choose the correct answer.
If the correlation coefficient r=1, the relation between regression coefficients is:
i. byx = bxy
ii. byx X bxy= 1
iii. byx X bxy = -1
iv. byx X bxy = 2 (1)
b) The following data relate to cost of maintenance of cars (X) and age of cars(Y)
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