STATISTICS-QUIZ-9

MATHEMATICS STATISTICS QUIZ-9

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. Consider the following statements (1) Mode can be computed from histogram (2) Median is not independent of change of scale (3) Variance is independent of change of origin and scale Which of these is/are correct?

•  Only (1)
•  Only (2)
•  Only (1) and (2)
•  Only (1), (2) and (3)

Solution
It is true that mode can be computed from histogram and median is not independent of change of scale. But variance is independent of change of origin and not of scale.

Q2.Which one of the following is correct?

•  Quartile derivation is one half of the sum of the upper and lower quartiles
•  For finding median, the items of the series are arranged in ascending or descending order of magnitude
•  Mean, mode, median have not same unit
•  SD can be computed from any average

Q3.  The AM of the series 1,2,4,8,16,…,2ⁿ, is

•  
• 
  
  
•  
• 
  
  
•  
• 
  
  
•  
• 
  
  

Solution

Q4. The mean of the values 0,1,2,3,...n with the corresponding weights ⁿ C₀, ⁿC₁,…,ⁿC_n respectively is

•  
• 
  
  
•  
• 
  
  
•  
• 
  
  
•  
•      
  
  

Solution

Q5.If the lines of regression are 3x+12y=19 and 3y+9x=46,then r_xy will be

•  0.289
•  -0.289
•  0.209
•  None of these

Solution
 

 

Q6. 

•  
• 
  
  
•  
• 
  
  
•  
• 
  
  
•  
• 
  
  

Solution

Q7.The median of the items 6,10,4,3,9,11,22,18 is

• 9
•  10
•  9.5
•  11

Q8.If the coefficient of variation is 45% and the mean is 12 then its standard derivation is

•  5.2
•  5.3
•  5.4
•  None of these

Solution

Q9.The 7th percentile is equal to

•  7th decile
•  Q₃
•  6th decile
•  None of these

Solution

Q10. The mean deviation from the mean of the series a,a+d,a+2 d,…,a+2nd, is

•  
• 
  
  
•  
• 
  
  
•  
• 
  
  
•  
• 
  
  

Solution