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

How many boys attended the 1995 convention?
537597.PNG
  • 358
  • 390
  • 407
  • 540
  • 716
If the four regions shown in the graph above are the only regions in Town $$T$$, the total of which two regions accounts for exactly $$70$$ percent of all cable television subscribers in Town $$T$$?
500205.jpg
  • Regions $$M$$ and $$N$$
  • Regions $$M$$ and $$O$$
  • Regions $$N$$ and $$O$$
  • Regions $$N$$ and $$P$$
Variance of the first $$1$$ natural numbers is.
  • $$\sqrt{5}$$
  • $$\sqrt{10}$$
  • $$5\sqrt{2}$$
  • $$10$$
Examine the graph and determine which of the following is true. 
537607.PNG
  • (c) minus (b) equals (b) minus (d)
  • (a) plus (d) equals (c)
  • (c) minus (d) equals (a)
  • (a) plus (b) equals (c) plus (d)
If the variance of $$14, 18, 22, 26, 30$$ is $$32$$, then the variance of $$28, 36, 44, 52, 60$$ is.
  • $$64$$
  • $$128$$
  • $$32\sqrt{2}$$
  • $$32$$
The variance of $$10, 10, 10, 10$$ is.
  • $$10$$
  • $$\sqrt{10}$$
  • $$5$$
  • $$0$$
How many more students like Basketball than Cricket?
723204_aa09f48d9af646e0ac35b49769286f71.png
  • $$60$$
  • $$120$$
  • $$20$$
  • $$40$$
Which month maximum rainfall?
723211_39c412d9785744dca85c8908156620be.png
  • April
  • July
  • August
  • September
The chart below represents the average amount of rain falling each month in the town of Tegulpa. During which month of the year does the most rain fall?
537608_725f650ce53043b4bae199284071101a.png
  • January
  • April
  • August
  • December
Which one of the following is a false description?
  • In a moderately asymmetrical distribution, the empirical relationship between Mean, Mode and Median suggested by Karl Pearson is Mean Mode = 3 (Mean Median)
  • Coeffcient of variation is an absolute measure of dispersion
  • Measure of skewness in the distribution of numerical values in the data set
  • Kurtosis refers to the degree of flatness or peakedness in the region around the mode of a frequency curve
In _________ classification time becomes the classifying variable and data are categorized according to time.
  • spatial
  • quantitative
  • qualitative
  • temporal
Highest marks are scored in ______ .
723227_be999b28827340fc9bb2e0b1a2ec487f.png
  • English
  • Hindi
  • Maths
  • None of these
If the maximum number of marks is $$50$$ in each subject, then in how many subjects student scored more than half of maximum marks?
723227_be999b28827340fc9bb2e0b1a2ec487f.png
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
Which of the following are limitations of range?
  • It is not based on all the values.
  • As long as the minimum and maximum values remain unaltered, any change in other values does not affect range.
  • It can not be calculated for open-ended frequency distribution.
  • All of these
In a frequency distribution, Range is the difference between _________ and __________
  • upper limit of the highest class, the lower limit of the lowest class
  • lower limit of the highest class, the upper limit of the lowest class
  • A or B
  • None of the above
Which of the following is another term for quartile division?
  • Inter quartile range
  • Semi Inter Quartile Range
  • Inter Quartile Deviation
  • None of these
If the minimum marks for passing in each subject is $$14$$, then in how many subject/subjects did he fail?
723227_be999b28827340fc9bb2e0b1a2ec487f.png
  • $$1$$
  • $$2$$
  • $$0$$
  • None of these
If the mean and standard deviation of a normal distribution are $$33$$ and $$5$$ respectively, what is the Inter-quartile range?
  • $$(6.67)$$
  • $$(8)$$
  • $$(7.74)$$
  • $$(6.8)$$
Karl Pearsons Coefficient of Correlation is also known as ______.
  • simple correlation coefficient
  • product moment correlation
  • both A and B
  • none of the above
The Multiplicative Model of a time series is expressed is :
  • $$Y_{t} = T_{t} \times C_{t} \times S_{t} \times R$$
  • $$Y_{t} = T_{t} - C_{t} - S_{t} - R_{t}$$
  • $$Y_{t} = T_{t} + C_{t} + S_{t} + R_{t}$$
  • $$Y_{t} = T_{t}\cap C_{t}\cup S_{t} \cup R_{t}$$
Which of the following relations among the location parameters does not hold?
  • $$Q_2 = Median$$
  • $$P_50 = Median$$
  • $$D_5 = Median$$
  • $$D_4 = Median$$
__________  gives a precise numerical value of the degree of linear relationship between two variables X and Y.
  • Scatter diagram
  • Spearmans coefficient of correlation
  • Karl Pearsons Coefficient of Correlation
  • None
The $$P_82$$ for the following distribution is
X234567891011
Y369182014101072

  • $$6$$
  • $$5$$
  • $$8$$
  • $$9$$
Inter-Quartile Range is based upon ________.
  • First 50% of the values
  • middle 50% of the values
  • Last 50 % of the values
  • 25% of the values
Time series is an important statistical technique which is widely used by _________.
  • Scientists
  • Sociologists
  • Research workers
  • All of above
Study the following graph carefully and answer the question given.
In which of the following pairs of companies the difference between average productions for the three years is maximum?
895286_d33c0f3693db4a1090e6cef3cc4d60ad.png
  • E and F
  • D and C
  • E and C
  • A and E
Study the following graph carefully and answer the question given.
What is the percentage decline in production by company C from $$1995$$ to $$1996$$?
895282_64157a6d388e4dd4bd6c8e889fbb851e.png
  • $$5$$
  • $$20$$
  • $$15$$
  • $$12.50$$
Choose the correct answer from the alternatives given.
Directions for questions 71 to 75: Study the following bar-graph and answer the questions.
The average electric consumption by the family during these 5 months in 2013 is

908321_4027d3a0ecdb4bda9cf8173ca02d385d.png
  • 470 units
  • 440 units
  • 450 units
  • 460 units
Choose the correct answer from the alternatives given.
Directions for questions 71 to 75: Study the following bar-graph and answer the questions.
For how many months in 2012, the consumption of electric units was more than the average units consumption?

908318_bac501b7eaf344b9bd9d7a02eaacb2f4.png
  • 3
  • 2
  • 5
  • 4
In a group, $$2$$ students spend Rs$$8$$ daily, $$3$$ students spend Rs$$10$$ daily and $$5$$ students spend Rs$$6$$ daily. The average spending of all $$10$$ students is _______.
  • $$7.6$$
  • $$5.8$$
  • $$8.5$$
  • $$6.7$$
If the sum of mean and variance of $$B.D$$ for $$5$$ trials is $$1.8$$, the binomial distribution is 
  • $$ (0.8+0.2)^5$$
  • $$ (0.2+1.8)^5$$
  • $${\left( {0.8 + 0.2} \right)^{10}}$$
  • $${\left( {0.2 + 1.8} \right)^{10}}$$
Study the following graph carefully and answer the question given.
What was the difference between the number of B type tyres manufactured in $$1994$$ and $$1995$$?
895274_82bc3e8d5e024641b6dd47cd309ae386.png
  • $$1,00,000$$
  • $$20,00,000$$
  • $$10,00,000$$
  • $$12,50,000$$
If each observation of a dist. whose $$S.D$$ is $$\sigma $$, is increased by $$\lambda$$ then the variance of the new observations is
  • $$\sigma$$
  • $$\sigma+\lambda $$
  • $$\sigma^ {2} $$
  • $$\sigma^ {2}+\lambda$$
Study the following graph carefully and answer the question given.
Which of the following companies recorded the minimum percentage growth from $$1994$$ to $$1995$$?
895283_da4b25da855d4b018048f8288c9035a0.png
  • A
  • B
  • C
  • F
Study the following graph carefully and answer the question given.
The total number of all the three types of tyres manufactured was the least in which of the following years?
895275_4348dd9bc6af428fb3294391f508151c.png
  • $$1995$$
  • $$1996$$
  • $$1992$$
  • $$1994$$
Study the following graph carefully and answer the question given.
In which of the following years was the percentage production of B type of C type tyres the maximum?
895277_75edbb30d94b4b1e8180a97476aa361d.png
  • $$1994$$
  • $$1992$$
  • $$1995$$
  • $$1993$$
Standard deviation of $$3, 5, 7, 9, 11, 13$$ is?
  • $$12$$
  • $$11$$
  • $$11.66$$
  • None
The standard deviation of the data:
$$x:$$ $$1$$  $$a$$  $${a}^{2}$$........$${a}^{n}$$
$$f:$$  $${ _{  }^{ n }{ C } }_{ 0 }$$  $${ _{  }^{ n }{ C } }_{ 1 }$$.....$${ _{  }^{ n }{ C } }_{ n }$$ is
  • $${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }-{ \left( \cfrac { 1+{ a }^{ } }{ 2 } \right) }^{ n }$$
  • $${ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ 2n }-{ \left( \cfrac { 1+{ a }^{ } }{ 2 } \right) }^{ n }$$
  • $${ \left( \cfrac { 1+{ a }^{ 2 } }{2  } \right) }^{ 2n }-{ \left( \cfrac { 1+{ a }^{ 2 } }{ 2 } \right) }^{ n }$$
  • None of these
Standard deviation of the first $$2$$n + $$1$$ natural numbers is 
  • $$\sqrt{\dfrac {n(n+1)}{2}}$$
  • $$\sqrt{\dfrac {n(n+1)(2n + 1)}{3}}$$
  • $$\sqrt{\dfrac {n(n+1)}{3}}$$
  • $$\sqrt{\dfrac {n^2(n+1)}{2}}$$
For a series the information available is $$n=10$$, $$\displaystyle\sum x=60, \displaystyle\sum x^2=1000$$. The standard deviation is?
  • $$8$$
  • $$64$$
  • $$24$$
  • $$128$$
The standard deviation of $$15$$ terms is $$6$$ and each item is decreased by $$1$$. Then the standard deviation of new data is?
  • $$5$$
  • $$7$$
  • $$\dfrac{91}{15}$$
  • $$6$$
Variance of $$^{10}C_{0}, ^{10}C_{1}, ^{10}C_{2},^{10}C_{10}$$ is:
  • $$\dfrac{10.^{20}C_{10}-2^{10}}{100}$$
  • $$\dfrac{11.^{20}C_{10}-2^{10}}{11}$$
  • $$\dfrac{10.^{20}C_{10}-2^{20}}{100}$$
  • $$\dfrac{10.^{20}C_{10}-2^{10}}{121}$$
The standard deviation of $$1, 2, 3, 4, 5, 6, 7$$ is?
  • $$4$$
  • $$2$$
  • $$\sqrt{7}$$
  • None of the above
What is standard deviation of the set of observations $$32,28,29,30,31$$?
  • $$1.6$$
  • $$\sqrt { 2 }$$
  • $$2$$
  • $$none\ of\ these$$
In an experiment with $$10$$ observations on $$x,\displaystyle \sum { x=60, } \displaystyle \sum { { x }^{ 2 } } =1000$$ one observation that was $$20$$ was found to be wrong and was replaced by the correct value $$30$$ then the correct variance is 
  • $$64$$
  • $$111$$
  • $$52$$
  • $$101$$
Variance of the data given below
Size of item3.54.55.56.57.58.59.5
Frequency37226085328
  • 1
  • 1.231
  • 1.321
  • 1.312
The variance of first $$20$$- natural numbers is?
  • $$\dfrac{399}{4}$$
  • $$\dfrac{379}{12}$$
  • $$\dfrac{133}{2}$$
  • $$\dfrac{133}{4}$$
The mean and standard deviation of $$1,2,3,4,5,6$$ are 
  • $$\dfrac{7}{2},\sqrt{\dfrac{35}{12}}$$
  • $$\dfrac{7}{3} ,\sqrt{3}$$
  • $$3,3$$
  • $$3,35/12$$
For r.v. X whose p.m.f. is
X012
p(X=)x$${ b }^{ 2 }$$2ab$${ a }^{ 2 }$$
Std. deviation of $$X i.e.\sigma =$$
  • $$\sqrt { ab } $$
  • $$\sqrt { 2ab } $$
  • $$\sqrt { 3ab } $$
  • $$2\sqrt { ab } $$
The average marks of 10 students in a class is 60 with standard deviation 4 while the average marks of other 10 students is 40 with standard deviationIf all the 20 students are taken together, their standard deviation will be
  • $$\sqrt {109}$$
  • 12
  • $$\sqrt {116}$$
  • $$\sqrt {126}$$
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