## MATHEMATICS STATISTICS QUIZ-2Dear 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 mean age of a combined group of men and women is 25 yr. if the mean age of the group of men is 26 and that of the group of women is 21, then the percentage of men and women in the group is
•  46, 60
•  80, 20
•  20, 80
•  60, 40
Solution

Q2.If the variable takes the values 0, 1, 2, …., n with frequencies proportional to the binomial coefficients C(n,0),C(n,1),C(n,2),…..,C(n,n) respectively, then the variance of the distribution is
•  n
•  √n/2
•  n/2
•  n/4
Solution

Q3.  For a series the value of mean deviation is 15, the most likely value of its quartile derivation is
•  12.5
•  11.6
•  13
•  9.7
Solution

Q4. For two data sets, each of size 5, the variance are given to be 4 and 5 and the corresponding means are given to be 2 and 4, respectively. The variance of the combined data set is
•  5/2
•  11/2
•  6
•  13/2
Solution

Q5.

•

•

•

•

Solution

Q6. The AM. of a set of 50 numbers is 38. If two numbers of the set, namely 55 and 45 are discarded, the AM of the remaining set of numbers is
•  36
•  36.5
•  37.5
•  38.5

Q7.The sum of deviations of n observations about 25 is 25 and sum of deviations of the same n observations about 35 is -25. The mean of observations is
• 25
•  30
•  35
•  40

Q8.Let G1,G2 be the .....geometric means of two ...... series x1,x2,…..xn;y1,y2,…,yn. If G is the geometic mean of xi/yi ,i=1,2,…,n. Then G is equal to
•

•

•

•

Q9.The weighted AM of first n natural numbers whose weights are equal to the corresponding numbers is equal to
•

•

•

•

Q10. Mean and standard deviation from the following observations of marks of 5 students of a tutorial group (marks out of 25)8, 12, 13, 15, 22 are respectively
•  14, 4.604
•   15, 4.604
•  14, 5.604
•  None of these
Solution

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