## MATHEMATICS STATISTICS QUIZ-5Dear 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. If for a moderately skewed distribution, mode =60 and mean =66, then median =
•  60
•  64
•  68
•  None of these

Q2.The standard deviation of a variable x is 10. Then, the standard deviation of 50+5x is
•  50
•  550
•  10
•  500
Solution
Given the standard deviation (SD) of the variable x is 10.
∴ Standard deviation of 50+5x=5x=50 [∵x=10]

Q3.

•

•  5
•  √5
•

Solution

Q4. In an experiment with 15 observations onx, the following results were available∑x2 =2830,∑x=170. One observation that was 20, was found to be wrong and was replaced by the correct value 30. Then, the corrected variance is
•  78.0
•  188.66
•  177.33
•  8.33
Solution

Q5.In any discrete series (when all values are not same) the relationship between M.D. about mean and S.D. is
•  M.D.=S.D.
•  M.D.≥S.D.
•  M.D< S.D.
•  M.D.≤S.D.
Solution

Q6.

•

•

•

•

Solution

Q7.

• 11
•  12
•  23
•  22

Q8.A group of 10 items has arithmetic mean 6. If the arithmetic mean of 4 of these items is 7.5, then the mean of the remaining items is
•  6.5
•  5.5
•  4.5
•  5.0
Solution

Q9.The median of 10,14,11,9,8,12,6 is
•  14
•  11
•  10
•  12

Q10. Mean marks scored by the students of a class is 53. The mean marks of the girls is 55 and the mean marks of the boys is 50. What is the percentage of girls in the class?
•  60%
•   40%
•  50%
•  45%
Solution

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