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JKSSB Statistics MCQs

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Question 1 of 293

The class instructor calculated the correlation coefficient between the marks obtained by students in English and Hindi, and found it to be -0.5. Later, she realized that she had forgotten to include 1 grace mark for every student in the English scores. What will be the new correlation coefficient between the updated English marks and the Hindi marks?

Explanation

The new correlation coefficient will be B) -0.5.

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Question ID: 9959

Question 2 of 293

Fishers Ideal Index Number not satisfies

Explanation

Fisher's Ideal Index Number does not satisfy the C) Circular Test.

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Question ID: 9958

Question 3 of 293

If the gross reproductive rate is 1.08 per woman and the proportion of male births is 60%, then total fertility rate per woman is (assuming no mortality)

Explanation

The total fertility rate per woman is B) 2.7.

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Question ID: 9957

Question 4 of 293

The population of a city is 12000. Ifthe population size after 3 generations is 768000, then the net reproductive rate is

Explanation

The net reproductive rate is D) 4.

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Question ID: 9956

Question 5 of 293

If Laspeyres' price index is 100, Fisher's index number is 120, then Bowley's index number is

Explanation

The correct answer is A) 122.

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Question ID: 9955

Question 6 of 293

The average height of male employees in a company is 68 inches and that of female employees is 63 inches. The average height of all the employees is 65 inches. The percentage of male employees in the company is

Explanation

The percentage of male employees in the company is A) 40%.

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Question ID: 9954

Question 7 of 293

If x₀ = 5, x₁ = 6, x₂ = 9 and x₃, =11, and f(x₁) =12, f(x₁) =13, f(x₂) =14 and f(x₃)=16 then the approximate value of ƒ(10) using Lagrange's interpolation formula is

Explanation

The approximate value of $f(10)$ using Lagrange's interpolation formula is B) 14.67.

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Question ID: 9953

Question 8 of 293

Which is a demographic indicator of health?

Explanation

The correct answer is B) Life expectancy.

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Question ID: 9952

Question 9 of 293

Which of the following is a measure of mortality?

Explanation

The correct answer is A) Crude death rate.

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Question ID: 9951

Question 10 of 293

Zero should be used only to indicate the ______

Explanation

Zero should be used only to indicate the C) Quantity of variable.

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Question ID: 9949

Question 11 of 293

Interview is an example of _____ which data

Explanation

Primary data is original data collected by the researcher specifically for the purpose of the study.

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Question ID: 9948

Question 12 of 293

In a random arrangement of the letters of the work “STATISTICS", the probability that all the vowels come together is

Explanation

The probability that all the vowels come together is C) 2/15.

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Question ID: 9947

Question 13 of 293

If the two regression lines - one obtained by regressing y on x, and the other by regressing x on y- are
5x-8y+14=0
2x - 5y +11=0
then X+y is

Explanation

The correct answer is B) 3.

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Question ID: 9946

Question 14 of 293

If the line of regression of y on x is
5x-8y+14 = 0
then the correlation between y and x is

Explanation

The correlation between $y$ and $x$ is A) Positive.

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Question ID: 9945

Question 15 of 293

In a college, 75% of students passed Mathematics, and 80% of students passed English. What is the minimum percentage of students who must have passed both subjects?

Explanation

The minimum percentage of students who must have passed both subjects is B) 55%.

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Question ID: 9944

Question 16 of 293

For two attributes A and B, we have the following information:
N= 100; (A) = 50, (B) =60, (AB) = 5
Which of the following is true about consistence of the data?

Explanation

The correct statement is A) Data are inconsistent.

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Question ID: 9943

Question 17 of 293

A box contains a certain number of balls out of which 15% are red, 80% are yellow and 5% are green. All the balls of the same color are indistinguishable. Further, it is known that among all the yellow balls, x% are defective, among all the red, 6% are marked defective and among all the green balls, 9% are marked defective. A ball is chosen at random. If the conditional probability that the chosen ball is yellow, given

Explanation

the value of $x$ is 1.12.

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Question ID: 9942

Question 18 of 293

The life expectancy, E, of females is a linear function of time (in years). In 1995, the life expectancy was 72 years, and in 2015, it was 78 years. What would be the predicted life expectancy in the year 2025?

Explanation

The predicted life expectancy in the year 2025 would be D) 81 years.

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Question ID: 9941

Question 19 of 293

Given the following numbers:
1, 7, 8, 2, 4, 10, 14, 11, 37, 16, 17

Explanation

The value of mean - median is approximately 1.55.

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Question ID: 9940

Question 20 of 293

Let A, B and C be three events such that
P(A∩B)=1/4, P(A∩C)= 1/5, P(B∩C)= 1/5, P(A∩B∩C)= 1/6
The probability that at least two events occur is equal to :

Explanation

The probability that at least two events occur is $\mathbf{19/60}

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Question ID: 9939

Question 21 of 293

For a certain frequency distribution, we calculated the following values: Mean = 62, Co-efficient of skewness =–0.6, Standard Deviation =30 The median is equal to

Explanation

The median is equal to C) 68.

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Question ID: 9938

Question 22 of 293

If the price index for the year 2024 is 105.5, and the purchasing power of money (in Rs.) of 2014 compared to 2024 is 1.11, then what is the price index for the year 2014?

Explanation

The correct answer is B) 95.04.

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Question ID: 9937

Question 23 of 293

Which of the following statements is TRUE regarding the use of enumerators in collecting data through questionnaires?

Explanation

The correct statement is:

A) Less reliable

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Question ID: 9936

Question 24 of 293

In a class of 100 students, every student must pick exactly one sport to play. 28 students pick Football, 27 students pick Kho-Kho, 33 students pick Volleyball and 12 students pick Cricket. 23 boys play Cricket, and 13 boys play Volleyball. Meanwhile out of a total of 40 girls, 13 girls play Kho-Kho. Which of the pairs is/are correctly matched? 

Explanation

Girls Kho-Kho=13, Boys Cricket=23, Boys Volleyball=13, Total boys=60. Correct matching is option A.

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Question ID: 7683

Question 25 of 293

Eight randomly selected college students were asked to state the number of hours they slept the previous night. The resulting data values are 4, 8, 7, 5, 3, 7, 7, 8. Arrange the following values in decreasing order:

a. Mean of sleeping hours of the students

b. Median of sleeping hours of the students

c. Mode of sleeping hours of the students

d. Number of random Sample

Explanation

Mean=6.125, Median=7, Mode=7, Sample size=8. Order: d(8) > b(7) > a(6.125) > c(7). So correct is d, b, a, c.

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Question ID: 7682

Question 26 of 293

Which of the following statement regarding tabulation is FALSE?

Explanation

Tabulation allows comparison both row-wise and column-wise. Hence (d) is false.

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Question ID: 7681

Question 27 of 293

Consider the following statements regarding questionnaire preparation:

a. Questionnaires collect data by asking people to respond to different set of questions.

b. The validity and reliability of the data you collect and the response rate you achieve depend largely on the design of your questions.

c. Collect the data without a pilot test of all questionnaires.

d. When designing your questionnaire you should consider the wording of individual questions prior to the order in which they appear.

Which of the following statement is correct? 

Explanation

Statements (b) and (d) are correct. A pilot test is recommended, so (c) is wrong.

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Question ID: 7674

Question 28 of 293

What is an example of primary data collection method?

Explanation

Primary data is collected first-hand through interviews, surveys, observations, etc.

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Question ID: 7673

Question 29 of 293

Secondary data is primarily sourced from:

Explanation

Secondary data refers to data already collected, e.g., from databases, published reports.

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Question ID: 7672

Question 30 of 293

Which among the following is NOT involved in analyzing the gathered information data?

Explanation

Fabricating data to arrive at the desired conclusion

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Question ID: 6397

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