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  • Question 1
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    Choose the correct answers from the alternatives given.
    Directions for question 74 and 75: Study the following pie chart and answer the questions based on it.
    The following pie-chart shows the result of an examination of 360 students.
    The number of students who failed is

  • Question 2
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    Let mean of $$100$$ data points be $$55$$ and variance be $$16$$ . Now if every data point is increased by $$2$$ units, then the sum of mean and standard deviation of new data point will be:

  • Question 3
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    How many teachers are more than $$35$$ years old?

  • Question 4
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    For $$X \rightarrow B (n, p), \,$$ if $$\, n = 25, E (x) = 10$$ , then S.D. $$(x) = $$

  • Question 5
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    Find variance of the following data.

    Class intervalFrequency
    $$4-8$$$$3$$
    $$8-12$$$$6$$
    $$12-16$$$$4$$
    $$16-20$$$$7$$

  • Question 6
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    If $$\sum\limits_{i = 1}^9 {\left( {{x_i} - 5} \right) = 9}$$ and $$\sum\limits_{i = 1}^9 {{{\left( {{x_i} - 5} \right)}^2}}  = 45$$, then the standard deviation of the $$9$$ items $${x_1},{x_2},.....,{x_9}$$ is

  • Question 7
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    Suppose a population $$A$$ has $$100$$ observations $$101,102,........,200$$ and another population $$B$$ has $$100$$ observations $$151,152......,250 $$. If $$V_{A}and V_{B}$$ represent the variences of the two populations respectively, then $$V_{A}/ V_{B}$$ is

  • Question 8
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    If the sum of mean and variance of binomial distribution is 4.8 for 5 trials then

  • Question 9
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    The mean deviation about the mean of the set of first $$n$$ natural numbers when $$n$$ is an odd number.

  • Question 10
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    Find the standard deviation of 10 observation 111,211,311,....1011.

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