CBSE Questions for Class 11 Commerce Applied Mathematics Descriptive Statistics Quiz 9 - MCQExams.com

Variance of first $$20 $$ natural number is 
  • $$\cfrac { 133 }{ 4 } $$
  • $$\cfrac { 379 }{ 12 } $$
  • $$\cfrac { 133 }{ 2 } $$
  • $$\cfrac { 399 }{ 4 } $$
Time series is an important statistical technique which is widely used by __________.
  • business executives
  • financial analysts
  • economists
  • all of above
Find the total number of cars passed through the toll tax.
783325_1bb45c9319aa490ba6ac207d096fab0f.png
  • 500
  • 600
  • 625
  • 700
The maximum value a correlation coefficient can have is
  • 0
  • -1
  • 1
  • 0.1
Value of each sample observation is decreased by $$25$$, the range of the sample observation will ____________.
  • increase by $$25$$
  • remain same
  • decrease by $$25$$
  • increase by $$2$$ times
From 2011 to 2016, find the difference between the total number of people who preferred to play Basketball and Badminton (in millions)?
783928_3fd6c5daccb34e5d8ba241c13879d858.PNG
  • $$525$$
  • $$275$$
  • $$730$$
  • $$250$$
Can a quartile, a decile and a percentile be the median?
  • Only quartile but not decile and percentile
  • Quartile and decile but not percentile
  • Decile and percentile but not quartile
  • Quartile, decile and percentile, all the three
The variance of first $$30$$ natural numbers, is
  • $$74.92$$
  • $$37.98$$
  • $$38.98$$
  • $$none\ of\ these$$
Range of a set of values is $$60$$ and maximum value in the series is $$80$$. The minimum value of the series is _______.
  • $$140$$
  • $$20$$
  • $$70$$
  • None of the above
Which measure of dispersion is most affected by extreme values?
  • Standard deviation
  • Mean deviation
  • Range
  • Quartile deviation
The $$Q_3$$ for the following distribution is
X234567891011
Y369182014101072
  • $$6$$
  • $$5$$
  • $$8$$
  • $$9$$
The first quartile is also known as ______.
  • median
  • lower quartile
  • mode
  • third decile
The $$8th$$ decile of the following observations is
$$29, 18, 15, 30, 42, 35, 34, 28, 45, 34$$
  • $$44.6$$
  • $$40.6$$
  • $$34.15$$
  • $$38.15$$
A specific characteristic of a population is known as a __________.
  • Sample
  • Parameter
  • Statistic
  • Descriptive statistic
If the minimum value in a set is $$15$$ and its range is $$55$$, the maximum value of the set is _______.
  • $$40$$
  • $$60$$
  • $$80$$
  • $$70$$
The range from the following observations is 
$$10, 18, 20, 28, 15, 17, 22, 25, 29, 32, 34$$
  • $$24$$
  • $$20$$
  • $$30$$
  • $$42$$
The co-efficient of range from the following observations is 
$$10, 18, 20, 28, 15, 17, 22, 25, 29, 32, 34$$
  • $$0.6$$
  • $$0.5$$
  • $$0.55$$
  • None of them
If $$\displaystyle \sum_{i = 1}^{9}(x_{i} - 5) = 9$$ and $$\displaystyle \sum_{i = 1}^{9}(x_{i} - 5)^{2} = 45$$, then the standard deviation of the $$9$$ items $$x_{1}, x_{2}, ...., x_{9}$$ is
  • $$2$$
  • $$3$$
  • $$9$$
  • $$4$$
  • $$1$$
Stubs are ______________.
  • heading for the vertical column
  • heading of the horizontal column
  • a title of head notes
  • None of the above
If the mean of the data : $$7, 8, 9, 7, 8, 7, \lambda, 8$$ is $$8$$, then the variance of this data is
  • $$\dfrac {9}{8}$$
  • $$2$$
  • $$\dfrac {7}{8}$$
  • $$1$$
The information invariably required to be put in a good statistical table is/are ___________.
  • Descriptive thinking
  • Table number
  • Head note
  • Both b&c
The formulae of CAPABILITY is __________.
  • C = F (TA, IS, S)
  • C = Capabilities (TA + IA)
  • None of these
  • All of these
Given the following set of data, what is the range 12 23 34 54 21 8 9 67:
  • 55
  • 59
  • 8
  • 56
Choose the correct answer from the alternatives given.
Study the graph and answer the questions.
In which year the sale of cool-sip is minimum?

901407_de9b65a69c3a4b7aa4c69bd0e09cbeb8.png
  • 1990
  • 1992
  • 1993
  • None of the above
The total expenditure made by an industry under different heads is presented by
  • Histogram
  • Line graph
  • Bar graph
  • None of the above
Choose the correct answer from the alternatives given :
Directions for questions 71 to 75 : Study the following graph carefully and answer the questions given below.
What is the average number of tyres of type A manufactured over the years?
902579_4e0aba47fb8143d5a77f89367b458cfe.png
  • 23 lakhs
  • 2.3 lakhs
  • 30 lakhs
  • 22 lakhs
Study the following bar chart and answer the questions based on it.
The histogram below shows the marks of $$50$$ students in an examination. Examine the diagram and answer the questions.
If the minimum marks for passing is $$40$$, then what percentage of students have failed in the examination?

906489_cf3ddc52755c49a68d9c21bfcaa993cd.png
  • $$5$$%
  • $$10$$%
  • $$14$$%
  • $$28$$%
Choose the correct answer from the alternatives given.
Study the graph and answer the questions.
What was the approximate percent drop in the sale of Pep-up in 1990 over its sale in 1989?

901411_5c8cd451b17842d0a7793d588677e72c.png
  • 5.6%
  • 14.3%
  • 12.6%
  • 16.6%
Choose the correct answer from the alternatives given :
Directions for questions 71 to 75 : Study the following graph carefully and answer the questions given below.
What was the percentage drop in the number of C type tyres manufactured from 2007 to 2008?
902576_8cde589267f749d0a852b2734c1ef152.png
  • $$25\%$$
  • $$10\%$$
  • $$15\%$$
  • $$2.5\%$$
Choose the correct answer from the alternatives given :
Directions for questions 71 to 75 : Study the following graph carefully and answer the questions given below.
What was the difference between the number of B type tyres manufactured in 2008 and 2009?
902577_8d943557ec204c5b86bee32042041547.png
  • 1,00,000
  • 20,00,000
  • 10,00,000
  • None of these
Choose the correct answers from the alternatives given.
Directions for question 71 to 73: Study the following bar chart and answer the questions based on it.
The histogram below shows the marks of 50 students in an examination. Examine the diagram and answer the questions.
If the minimum marks for getting scholarship is 80, how many students will get the scholarship?

906490_1763315094c242d98fc08fa02b15dbe4.png
  • 11
  • 13
  • 12
  • 10
 The graph shows the production of wheat in different years of a particular State: For which year the gain or drop in the production of wheat the maximum over the previous year ?
903825_51ed2e4b69cf4523956b43bf726ac330.png
  • $$1996$$
  • $$2001$$
  • Both (a) and (b)
  • None of these
Choose the correct answer from the alternatives given :
Directions for questions 71 to 75: The graph shows the production of wheat in different years of a particular State
The year in which the production reached maximum is
903822_53ea3ae9ac884c59b642f33b241e0e32.png
  • $$1995$$
  • $$1997$$
  • $$1999$$
  • $$2000$$
Choose the correct answer from the alternatives given :
Directions for questions 71 to 75: The graph shows the production of wheat in different years of a particular State
The percentage increase in production of wheat from 1997-1998 is
903823_621faf561e274e70baa236ae5f9263f5.png
  • $$100\%$$
  • $$150\%$$
  • $$90\%$$
  • $$120\%$$
Choose the correct answers from the alternatives given.
Directions for question 71 to 73: Study the following bar chart and answer the questions based on it.
The histogram below shows the marks of 50 students in an examination. Examine the diagram and answer the questions.
How many students obtained less than 40 marks?

906491_fa8d2b1d80ed439f9db0dbfe23f9917b.png
  • 5
  • 2
  • 6
  • 4
_______ of data refers to the table where data are classified on the basis of single characteristics.
  • Complex Tabulation
  • Reference Tabulation
  • Simple Tabulation
  • Specific Tabulation
If variable x takes values $$  0,1,2 \ldots, \ldots,  $$ with frequencies proportional to binomial coef- ficients $$  n_{C_{O}}, n_{C_{1}}, n_{C_{2}} \dots n_{C_{n}} $$. Then the variance of x is...
  • $$

    \frac{n^{2}-1}{12}

    $$
  • $$

    \frac{n}{2}

    $$
  • $$

    \frac{n}{4}

    $$
  • $$

    \frac{n}{3}

    $$
Choose the correct answer from the alternatives given.
Directions for questions 71 to 75: Study the following bar-graph and answer the questions.
What is the ratio of highest consumption in the year $$ 2012$$ and $$2013$$ respectively?

908314_1082d502d9144a019a0058a41215e1e5.png
  • 7:6
  • 6:7
  • 7:2
  • 14:11
Consider the following statements:
(1) Mean is independent of change in scale and change in origin
(2) Variance is independent of change in scale but not in origin
Which of the above statements is/are correct?
  • 1 only
  • 2 only
  • Both 1 and 2
  • Neither 1 nor 2
Study the following information carefully and answer the questions given below.
The sub divided bar diagram given below depicts the result of Class XII students of a school for three years.
The number of students passed with second class in the year $$2002$$ is

906595_735cd4800f604326935c5e11a624ea6f.png
  • $$80$$
  • $$130$$
  • $$50$$
  • $$100$$
Study the following information carefully and answer the questions given below.
The sub divided bar diagram given below depicts the result of Class XII students of a school for three years.
The number of students passed with third class in the year $$2002$$ is 

906594_911bf6b8bd6548e4956d317f81150064.png
  • $$130$$
  • $$10$$
  • $$140$$
  • $$20$$
Consider the following statements:
$$1.$$ Variance is unaffected by change of origin and change of scale.
$$2.$$ Coefficient of variance is independent of the unit of observations.
Which of the statements given above is/ are correct?
  • $$1$$ only
  • $$2$$ only
  • Both $$1$$ and $$2$$
  • Neither $$1$$ nor $$2$$
The coefficient of correlation when coefficients of regression are $$0.2$$ and $$1.8$$ is
  • $$0.36$$
  • $$0.2$$
  • $$0.6$$
  • $$0.9$$
"An average is a value which is typical or representative of a set of data". This definition is given by.
  • Croxton and Cowden
  • Simpson and Kafka
  • Clark and Sekkade
  • Murry R. Spiegal
Choose the correct answers from the alternatives given.
Directions for question 74 and 75: Study the following pie chart and answer the questions based on it.
The following pie-chart shows the result of an examination of 360 students.
The number of students who failed is

906492_e4c0c94b13e04b58818ec54bf951de97.png
  • 30
  • 26
  • 10
  • 36
Let mean of $$100$$ data points be $$55$$ and variance be $$16$$ . Now if every data point is increased by $$2$$ units, then the sum of mean and standard deviation of new data point will be:
  • $$71$$
  • $$59$$
  • $$63$$
  • $$61$$
How many teachers are more than $$35$$ years old?
1063698_968bda6d760b46d18a5e10db1ee725ec.png
  • $$3$$
  • $$5$$
  • $$10$$
  • $$2$$
For $$X \rightarrow B (n, p), \,$$ if $$\, n = 25, E (x) = 10$$ , then S.D. $$(x) = $$
  • $$2\sqrt{6}$$
  • $$2.4$$
  • $$2 \sqrt{10}$$
  • $$\sqrt{2.4}$$
$$5$$ students of a class have an average height $$150\ cm$$ and variance $$18\ cm^{2}$$. A new student, whose height is $$156\ cm$$, joined them. The variance (in $$cm^{2})$$ of the height of these six students is
  • $$22$$
  • $$20$$
  • $$16$$
  • $$18$$
A line graph can also be a whole unbroken line.
  • True
  • False
0:0:1


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Practice Class 11 Commerce Applied Mathematics Quiz Questions and Answers