CBSE Questions for Class 11 Commerce Applied Mathematics Descriptive Statistics Quiz 12 - MCQExams.com

If the variance of the data 2,4,5,6,8,17 is 23,33, then variance of 5,11,14,17,23,50 is ________________.
  • 46,66
  • 96.32
  • 209,97
  • 213,97
Ina a class of 20 students, each student can score 10 or 0 marks in a certain examination. The maximum possible variance in the marks of the students in the class is
  • 24
  • 22
  • 20
  • 25
In a series of $$100$$ observations, half of them is equal to $$p$$ and remaining half equal to $$-p$$ if the standard deviation of these observations is $$10$$ then $$|p|=$$__   
  • $$10$$
  • $$\dfrac {1}{10}$$
  • $$\dfrac {1}{\sqrt {10}}$$
  • $$\sqrt {10}$$
$$\sum _{ i=1 }^{ 10 }{ { \left( { X }_{ i }-10 \right)  }^{ 2 }=2000 } \sum _{ i=1 }^{ 10 }{ { X }_{ i }-10 } =100$$ then the standard deviation of data set $${X}_{i}$$.
  • $$1$$
  • $$5$$
  • $$10$$
  • $$2$$
If the standard deviation of $$x_1,x_2,...,x_n$$ is 3.5 then the standard deviation of $$2x_1-3,2x_2-3,...,2x_n-3$$ is
  • -7
  • 10.5
  • 7
  • -10
Find the standard deviation of 10 observation 111, 211, 311,.......,1011.
  • 100$$\sqrt { 3 } $$
  • 250
  • 300
  • 50$$\sqrt { 33 } $$
The variance of the first $$n$$ natural number is 
  • $$\dfrac{1}{{12}}\left( {{n^2} - 1} \right)$$
  • $$\dfrac{1}{{6}}\left( {{n^2} - 1} \right)$$
  • $$\dfrac{1}{{6}}\left( {{n^2} +1} \right)$$
  • $$\dfrac{1}{{12}}\left( {{n^2} +1} \right)$$
The standard deviation of the data 6, 5, 9, 13, 12, 8, 10 is
  • $$\sqrt { \dfrac { 52 }{ 7 } } $$
  • $$\sqrt { 6 } $$
  • $$\dfrac { 52 }{ 7 } $$
  • 6
0:0:1


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