STATISTICS-QUIZ-10

MATHEMATICS STATISTICS QUIZ-10

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. For the arithmetic progression a,(a+d),(a+2d),(a+3d),……,(a+2nd), the mean deviation from mean is

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Solution

Q2.In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?

•  73
•  65
•  68
•  74

Solution
Total number of students=100 

 Average marks of the class=72 

 Total marks of the class =72×100=7200 

 And total marks of the boys =70×75=5250 

 So, total marks of the girls=7200-5250=1950 

 Hence, average of girls =1950/30=65

Q3.  The correlation coefficient between x and y from the following data ∑x=40, ∑y=50,∑xy=220,

∑x² =200,∑y² =262,n=10 is

•  0.89
•  0.76
•  0.91
•  0.98

Solution

Q4. The following information relates to a sample of size 60:∑x_i²=18000, ∑x_i=960. The variance is

•  6.63
•  16
•  22
•  44

Q5.The mean deviation of the series a,a+d,a+2d,..,a+2nd from its mean, is

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Q6. If the variance of 1, 2, 3, 4, 5, ..., 10 is 99/12, then the standard derivation of 3, 6, 9, 12, ..., 30 is

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Solution

Q7.The mean deviation from the mean of the set of observations, -1, 0, 4 is

• 3
•  1
•  -2
•  2

Solution

Q8.The variance of first n natural numbers is

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•  None of these

Solution

Q9.

•  11
•  12
•  23
•  22

Solution

Q10. The S.D. of the series a,a+d,a+2 d,…,a+2nd, is

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Solution