CBSE Questions for Class 11 Commerce Applied Mathematics Descriptive Statistics Quiz 1 - MCQExams.com

To prevent frauds in multiple mortgage cases, under SARFAESI Act, 2002, one special thing has been created and made operative from 01-04-Which one is that from the following? 
  • Special Register Office at Lucknow
  • Special Central Arbitration Bureau at Lucknow
  • Central SARFAESI Tribunals at six centres
  • Central Electronic Registry
If $$\sum _{ i=1 }^{ 18 }{  } $$ $$(X_{i}-8)=9$$ and $$\sum _{ i=1 }^{ 18 }{  } $$$$(x_{i}-8)^{2}=45$$ , then the standard deviation of $$x_{1},x_{2},.....,x_{18}$$ is 
  • 4/9
  • 9/4
  • 3/2
  • 2/3
If $$b_{i} = 1 - a_{i}, na = \displaystyle \sum_{i = 1}^{n} a_{i}, nb = \displaystyle \sum_{i = 1}^{n}b$$, then $$\displaystyle \sum_{i = 1}^{n}a_{i}b_{i} + \displaystyle \sum_{i = 1}^{n} (a_{i} - a)^{2} =$$
  • $$ab$$
  • $$-nab$$
  • $$(n + 1)ab$$
  • $$nab$$
Tabulation of data makes the presentation of facts and figures ___________.
  • more simplified
  • more understandable
  • Both a&b
  • It is lengthy and occupies space
Two distributions each of $$5$$ observations having veriance $$4$$ and $$5$$. If their arithmetic mean are $$2$$ and $$4$$ respectively., Find the variance of combined distribution 
  • $$5/2$$
  • $$11/2$$
  • $$6$$
  • $$13/2$$
Two sets each of $$20$$ observations, have the same standard deviation $$'5'$$. The first set has a mean $$'17'$$ and the second set mean $$'22'$$ then standard deviation of the combining the given two sets is
  • $$4.49$$
  • $$5.59$$
  • $$6.49$$
  • $$7.59$$
The standard deviation of a varibale x is$$\sigma $$. The standard devaition of the varibale $$\frac { ax+b }{ c } $$ where a, b, c are constant is _____________________.
  • $$\left( \frac { a }{ b } \right) \sigma $$
  • $$\left| \frac { a }{ c } \right| \sigma $$
  • $$\left| \frac { a^{ 2 } }{ c^{ 2 } } \right| \sigma $$
  • $$(a)\sigma $$
Consider the first $$10$$ positive integers. If we multiply each number by $$-1$$ and then add $$1$$ to each number, the variance of the numbers so obtained is
  • $$8.25$$
  • $$6.5$$
  • $$3.87$$
  • $$2.87$$
If 25% of the items are less than 10 and 25%  are more than 40, then the coefficient of quartile deviation is
  • 30
  • 50
  • 1.2
  • 0.6
The standard deviation of $$50$$ values of a variable x is $$15$$; if each value of the variable is divided by $$(-3)$$; then the standard division of the new set of $$50$$ values of x will be
  • $$15$$
  • $$-15$$
  • $$5$$
  • $$-5$$
The quartile deviation of wages is
  • $$22.5$$
  • $$25$$
  • $$20$$
  • $$21.2$$
If $$\sum _{ i=1 }^{ 9 }{ ({ x }_{ i }-5)=9 } $$ and $$\sum _{ i=1 }^{ 9 }{ { { ( }x_{ i }-5 })^{ 2 }=45 }, $$ then the standard deviation of the 9 items $${ x }_{ 1 },{ x }_{ 2, }.........{ x }_{ 9 }$$ is
  • 4
  • 2
  • 3
  • 9
Variance can be calculated using:
  • $${\dfrac{\sum x^2}{n}-\left(\dfrac{\sum x}{n}\right)^2}$$
  • $$\sqrt{\dfrac{\sum x^2}{n}-\left(\dfrac{(\sum x)}{n}\right)}$$
  • $$\sqrt{\dfrac{\sum x^2}{n}-\left(\dfrac{(\sum x)^2}{n}\right)}$$
  • $$\dfrac{\sum x^2}{n}-\left(\dfrac{(\sum x)^2}{n}\right)$$
2 weeks


85264.jpg
  • $$7cm$$
  • $$8cm$$
  • $$9cm$$
  • $$10cm$$
Marks scored by Rishi in an examination (out of $$100$$ marks) in different subjects are shown by the bar graph given above. In which subject Rishi is best?

90012_2868f67c81264ba69674e8b5cec35b16.png
  • Physics
  • Biology
  • English
  • Computers
Quartile deviation for a frequency distribution is given by
  • $$Q=\cfrac { 1 }{ 4 } (Q_{ 2 }-{ Q }_{ 1 })$$
  • $$Q=\cfrac { 1 }{ 3 } (Q_{ 3 }-{ Q }_{ 1 })$$
  • $$Q=\cfrac { 1 }{ 2 } (Q_{ 3 }-{ Q }_{ 1 })$$
  • $$Q=(Q_{ 3 }-{ Q }_{ 1 })$$
To compare the relative growth or decline of two or more series the most appropriate chart to be drawn would be 
  • line
  • bar
  • ratio
  • multiple
In a bar chart:
  • rectangles are of equal lengths
  • width of rectangles is fixed
  • rectangles are drawn with unequal shapes between them
  • width of rectangles carry important meaning
The following line graph shows the yearly sales figures for a manufacturing company. Compute the difference between the sales (in Rs. crores) in $$2002$$ and $$2006$$.

85248.jpg
  • $$4$$
  • $$6$$
  • $$7$$
  • $$10$$
The patient's temperature was same for two times during the period given. These two times were:

85230.png
  • 1 pm and 2 pm
  • 2 pm and 3 pm
  • 12 noon and 3 pm
  • 9 am and 10 pm
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales in $$2005$$?

85246.jpg
  • $$4$$
  • $$6$$
  • $$7$$
  • $$10$$
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in $$2002$$?

85240.jpg
  • $$2$$
  • $$4$$
  • $$6$$
  • $$8$$
_____  represents data that changes continuously over period of time.
  • Line graph
  • Pie graph
  • Bar graph
  • Histogram
The variance is the _______ of the standard deviation.
  • Square
  • Cube
  • Square root
  • Cube root
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in $$2006$$?

85241.jpg
  • $$2$$
  • $$4$$
  • $$6$$
  • $$8$$
The following line graph shows the yearly sales figures for a manufacturing company. What were the sales (in Rs. crores) in $$2003$$?

85244.jpg
  • $$6$$
  • $$7$$
  • $$8$$
  • $$10$$
Draw a graph for the following:
Side of square (in cm)
2
3
4
5
6
Area (in cm$$^2$$)
4
9
16
25
36
Is the graph linear?
  • Yes
  • No
  • Cannot be determined
  • None of these
Which of the following are types of graph which include bars?
  • Bar graph
  • Pie graph
  • Histogram
  • Line graph
Which one of the following statements is correct ?
  • Th Standard deviation for a given distribution is the square of the variance.
  • The standard deviation for a given distribution is the square root of the variance.
  • The standard deviation for a given distribution is equal to the variance.
  • The standard deviation for a given distribution is half of the variance.
The measure of dispersion is
  • M.D.
  • S.D.
  • Q.D.
  • All of these
Marks scored by Rishi in an examination (out of $$100$$ marks) in different subjects are shown by the bar graph given below. The ratio of the highest marks to the lowest marks is

90015_a5fd4e84fffa4480b548c68c1cb88792.png
  • $$4:3$$
  • $$3:4$$
  • $$9:16$$
  • $$12:9$$
Marks scored by Rishi in an examination (out of $$100$$ marks) in different subjects are shown by the bar graph given above. Percentage of marks obtained is around $$70$$ in which of the following subjects.

90054_2725572375b343718d3586e366cb4d3e.png
  • Maths
  • English
  • Biology
  • Computers
If 25% of the observations in a frequency distribution are less than $$20$$ and 25% are more than $$40$$, then the quartile deviation is
  • 20
  • 30
  • 40
  • 10
Quartile deviation is :
  • $$\cfrac { 4 }{ 5 } \sigma $$
  • $$\cfrac { 3 }{ 2 } \sigma $$
  • $$\cfrac { 2 }{ 3} \sigma $$
  • $$\cfrac { 5 }{ 4 } \sigma $$
The median of a symmetrical distribution, whose lower and upper quartiles are 60 and 80 respectively, is
  • 60
  • 80
  • 70
  • None of these
A graph drawn using vertical bars is called
  • bar graph
  • line graph
  • pictograph
  • pie graph
$$\Uparrow \quad \Uparrow\quad  \Uparrow \quad \Uparrow$$  Number represented by figure is ____, if each symbol represents 5 houses.
  • $$4$$
  • $$20$$
  • $$5$$
  • $$40$$
.
271836_03100e603db24f408bb0f8b0e61e9a99.png
  • $$6$$
  • $$10$$
  • $$12$$
  • $$26$$
Study the graph below showing the position of 3 runners, Pooja, Mayur and Hemant at two different times.
Who has run the fastest in between the 2nd and the 4th minute? 
266642_0a3a5d278ea64f368de810a3674b3a76.png
  • Pooja
  • Mayur
  • Hemant
  • Both Pooja and Hemant
On which day the bus was most crowded?
271854_ee9c48e39f4944d785f2a3657f5778c1.png
  • Friday
  • Saturday
  • Sunday
  • Monday
Which of the following statements is not correct for a bar graph?
  • All bars have different thickness
  • Distance between two consecutive bars is the same
  • The bars can touch each other
  • The thickness has no significance
The pictograph below shows the amount of money each class raised for an animal shelter
271728.jpg
  • Rs. $$10$$
  • Rs. $$40$$
  • Rs. $$50$$
  • Rs. $$100$$
The given line graph shows the growth rate of a kitten During which $$2$$ month period the kittens weight increased the most
271575_28a545f5b1204b7695e195c84b2dfea8.png
  • $$0$$ to $$2$$ months
  • $$2$$ to $$4$$ months
  • $$4$$ to $$6$$ months
  • $$6$$ to $$8$$ months
If O represents $$5$$ eggs then how many eggs does OOOO represent?
  • $$4$$
  • $$16$$
  • $$20$$
  • $$25$$
The population of four towns $$A, B, C$$ and $$D$$ as in $$2011$$ are as follows: 
TownPopulation
$$A$$$$6863$$
$$B$$$$519$$
$$C$$$$12185$$
$$D$$$$1755$$
What is the most appropriate diagram to present the above data ?
  • Pie chart
  • Bar chart
  • Histogram
  • Line graph
Number of TV sets sold in the year $$1995$$ is
271892_a9ff236b6a21415db15139c5d2a6e0bf.png
  • $$1000$$
  • $$500$$
  • $$50$$
  • $$2000$$
.
271985_e9e85be3ae09457aa39ca1b5658c948b.png
  • $$5$$
  • $$50$$
  • $$6$$
  • $$60$$
A graph drawn using vertical bars is called
  • Bar graph
  • Line graph
  • Pictograph
  • Pie graph
Variance of the distribution $$73, 77, 81, 85,..., 113$$ is
  • $$10$$
  • $$160$$
  • $$161$$
  • None of these
Number of TV sets sold in the year 1980 is
271892_a9ff236b6a21415db15139c5d2a6e0bf.png
  • 1000
  • 1500
  • 1250
  • 2000
0:0:1


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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers