## MATHEMATICS STATISTICS QUIZ-8

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 r is Karl Pearson’s coefficient of correlation between two sets of variates, then
•  r< 1
•  r>1
•  r<-1
•  |r|≤1
Solution
Karl pearson’s coefficient of correlation r lies in the interval [-1, 1].

Q2.The mean deviation from the median is
•  Equal to that measured from another value
•  Maximum if all observations are positive
•  Greater than that measured from any other value
•  Less than that measured from any other value

Q3.

•

•

•

•

Solution

Q4.

•  1/9
•  2/9
•  1/18
•  1/3
Solution

Q5.

•

•

•

•

Q6. Variance is independent of change of
•  Origin only
•  Scale only
•  Origin and scale both
•  None of these

Q7.An ogive is used to determine
• Mean
•  Median
•  Mode
•  HM

Q8.The first of two samples has 100 items with mean 15 and SD=3. If the whole group has 250 items with mean 15.6 and SD=√13.44, the SD of the second group is
•  4
•  5
•  6
•  3.52
Solution

Q9.A batsman scores runs in 10 innings as 38,70,48,34,42,55,63,46,54 and 44. The mean deviation about mean is
•  8.6
•  6.4
•  10.6
•  7.6

Q10.

•  20-36
•  28-44
•  28-52
•  36-52
Solution
Total number of workers =300
Retrenched =15% of 300=45
These are all from age group (20-28)
Prematured retried =20% of 300=60
=18 from age group 52-60
And 42 from age group (44-52)
∴ Age limit of workers retained is 28-44

#### Written by: AUTHORNAME

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