## MATHEMATICS STATISTICS QUIZ-4Dear 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 intersecting point of two regression lines is
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Solution

Q2.If the standard deviation of x1,x2,…xn is 3.5, then the standard deviation of -2x1-3,-2x2-3,…,-2xn-3 is
•  -7
•  -4
•  7
•  1.75
Solution

Q3.  The average of the squares of the numbers 0,1,2,3,4,...,n is
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Solution

Q4. Standard deviation for first 10 even natural numbers is
•  11
•  7.74
•  5.74
•  11.48

Q5.If the two lines of regression are 4x+3y+7=0 and 3x+4y+8=0,then the means of x and y are
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Solution

Q6.

•  0.2
•  0.5
•  0.66
•  0.33
Solution

Q7.

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Solution

Q8.

•  (8,5)
•  (5,8)
•  (5,5)
•  (8,8)
Solution

Q9.If a variable X takes values 0,1,2,…,n with frequencies proportional to the binomial coefficients
n C0,n C1,n C2,…,n Cn, then the Var (X) is
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Q10. The coefficient of correlation (r) and the two regression coefficients byx,bxy are related as
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