## MATHEMATICS STATISTICS QUIZ-1

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. Consider the following statements :
1. The values of median and mode can be determined graphically
2. Mean, Median and Mode have the same unit
3. Range is the best measure of dispersion.
Which of these is/are correct?
•  (1) alone
•  (2) alone
•  Both (2) and (3)
•  None of these
Solution
It is true that median and mode can be determined graphically

Q3.  Which one of the following molecules has the smallest bond angle?
•  2
•  3
•  4
•  5

Q4. The AM of n observations is M. If the sum of n-4 observations is a, then the mean of remaining 4 observations is
Solution

Q5.The mean weight of 9 items is 15. If one more item is added to the series, the mean becomes 16. The value of 10th item is
•  35
•  30
•  25
•  20
Solution
Total weight of 9 items =15×9=135
And total weight of 10 items =16×10=160
∴ weight of 10th item =160-135=25

Q6. The algebraic sum of the deviation of 20 observations measured from 30 is 2. Then, mean of observations is
•  28.5
•  30.1
•  30.5
•  29.6
Solution

Q8.If the variance of x=9 and regression equations are 4x-5y+33=0 and 20x-9y-10=0,than the coefficient of correlation between x and y and the variance of y respectively are
•  0.6;16
•  0.16;16
•  0.3;4
•  0.6;4
Solution

Q9.The two lines of regression are given by 3x+2y=26 and 6x+y=31.The coefficient of correlation between x and y is
•  -1/3
•  1/3
•  -1/2
•  1/2
Solution

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