STATISTICS-QUIZ-6

MATHEMATICS STATISTICS QUIZ-6

Dear Readers,

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background. 

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced. 

Q1. The standard deviation of the data: x: 1 a a² ⋯ aⁿ f: n C₀ n C₁ n C₂ ⋯ n C_n is

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Q2.A batsman scores sums in 10 innings 38, 70, 48, 34, 42, 55, 46, 63, 54 and 44, then the deviation from median is

•  8.6
•  6.4
•  9.6
•  10.6

Solution

Q3.  

•  0
•  1
•  n
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Solution

Q4. If the sum of the mode and men of a certain frequency distribution is 129 and the median of the observations is 63, mode and median are respectively

•  69 and 60
•  65 and 64
•  68 and 61
•  None of these

Q5.Consider the following statements : 1. In a bar graph not only height but also width of each rectangle matters 2. In a bar graph height of each rectangle matters and not its width 3. In a histogram the height as well as the width of each rectangle matters 4. A bar graph is two-dimensional of these statements Which of these is/are correct?

•  (1) alone is correct
•  (3) alone is correct
•  (2) and (3) are correct
•  (1) and (4) are correct

Solution
  Statement (2) and (3) are correct

Q6. If there exists a linear statistical relationship between two variable x and y, then the regression coefficient of yon x is

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Solution

Q7.The mean of the distribution, in which the values of X are 1,2,…,n, the frequency of each being unity is:

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Solution

Q8.

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Q9.The mean of a certain number of observations is m. If each observation is divided by x(≠0) and increased by y, then mean of the new observations is

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Q10. 

•  25
•   35
•  30
•  31