CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 8 - MCQExams.com

Below is given frequency distribution of marks (out of 100) obtained by the students.
Calculate mean marks scored by a student.
Marks0 - 1010 - 2020 - 3030 - 4040 - 50 50 - 6060 - 7070 - 8080 - 9090 - 100
No. of Students35710121512628
  • $$48.75$$ marks
  • $$51.75$$ marks
  • $$54.75$$ marks
  • $$57.75$$  marks
Find the mode of the following:
$$18,14,22,23,14,18,17,28,28,14,25,14$$
  • $$12$$
  • $$13$$
  • $$14$$
  • $$15$$
If $$25$$ is the arithmetic mean of $$ X$$ and $$46,$$ then find $$X.$$
  • $$2$$
  • $$4$$
  • $$8$$
  • $$16$$
Deciles are the values dividing a given set of observations into
  • 10
  • 5
  • 6
  • 4
Following table gives age groupwise distribution of people suffering from 'Asthama' due to air pollution in certain city. Find mean age of person suffering from 'Asthama' .
Age (in years)7 - 1111 - 1515 - 1919 - 2323 - 2727 - 3131 - 3535 - 39
No. of People 5 9 13 21 16 15 12  9
  • $$23.88$$years
  • $$24.88$$ years
  • $$25.88 $$years
  • $$26.88$$ years
Following table gives frequency distribution of milk (in litres) given per week by 50 cows.
Find average (mean) amount of milk given by a cow by 'shift of origin method'.
Milk (in litres)24 - 3030 - 3636 - 4242 - 4848 - 5454 - 6060 - 6666 - 72 
72 - 7878 - 8484 - 90
No. of cows13855584623
  • $$51.12$$ litres
  • $$54.12$$ litres
  • $$57.12$$ litres
  • $$60.12$$ litres
The following observation are arranged in ascending order. If the median of the data is $$17$$, find $$x$$ if the observations are $$6, 8, 9, 15, x,x + 2, 21, 22, 25, 29.$$
  • $$x = 11$$
  • $$x = 13$$
  • $$x = 15$$
  • $$x = 16$$
Find the median of:
$$25,16,26,16,32,31,19,28$$ and $$35$$
  • $$16$$
  • $$28$$
  • $$26$$
  • $$19$$
Below is given frequency distribution of dividend in percentage declared by 120 companies.
Dividend (in %)10 - 1920 - 2930 - 3940 - 4950 - 59 60 -
69		70 - 79 
No. of Companies515284215123
Obtain mean dividend declared by a company by step deviation method.
  • $$40.42$$ %
  • $$42.42$$ %
  • $$46.42$$ %
  • $$48.42$$ %
Find the median of the following data:
$$18,19, 20, 23, 22, 20, 17, 19, 25$$ and $$21$$
  • $$20$$
  • $$21$$
  • $$22$$
  • $$23$$
What is the mean of first 8 whole numbers?
  • $$3$$
  • $$3.5$$
  • $$4$$
  • $$4.5$$
Find the median of:
$$233,173,189,208,194,204,194,185,200$$ and $$220$$
  • $$194$$
  • $$185$$
  • $$197$$
  • $$220$$
Find the median of:
$$241,243,347,350,327,299,261,292,271,258$$ and $$257$$
  • $$271$$
  • $$292$$
  • $$257$$
  • $$243$$
The median of $$63,17,50,9,25,43,21,50,14$$ and $$34$$ is 29.5
  • True
  • False
  • Can't determine
  • None of these
A study related to the time(in months) taken to settle a dispute in a lower court resulted the following data.
Time (in months)$$0 - 2$$$$2 - 4$$$$4 - 6$$$$6 - 8$$$$8 - 10$$$$10 - 12$$
No. of persons$$15$$$$90$$$$120$$$$75$$$$70$$$$50$$
Find the meantime taken to settle a dispute in a lower court.
  • $$6.9$$ months
  • $$6.16$$ months
  • $$6.66$$ months
  • None of these
Find the arithmetic mean for the following grouped frequency distribution:
Class-intervals
$$6-10$$
$$10-14$$
$$14-18$$
$$18-22$$
 $$22-26$$
 $$26-30$$
Frequency
 $$ 4$$
  $$ 6$$
  $$9$$
  $$ 12$$
   $$ 7 $$
   $$2$$
  • $$15.8$$
  • $$16.8$$
  • $$17.8$$
  • None of these
Frequency distribution of duration of $$500$$ telephone calls received at a telephone exchange on a certain day is given below :
Duration of call (in sec.)15 - 2930 - 4445 - 5960 - 7475 - 8990 - 104105 - 119120 - 134
No. of calls8126115319057109
Find mean duration of telephone call received at the telephone exchange.
  • $$74.83$$ seconds
  • $$79.83$$ seconds
  • $$83.83$$ seconds
  • $$86.83$$ seconds
Median of a data set is a number which has an equal number of observations below and above it. The median of the data $$1, 9, 4, 3, 7, 6, 8, 8, 12, 15$$ is
  • $$7.5$$
  • $$7$$
  • $$8$$
  • Any number between $$7$$ and $$8$$
Find the median of  63, 17, 50, 9, 25, 43, 21, 50, 14 $$ and\ 34$$
  • $$29.5$$
  • $$29$$
  • $$20$$
  • $$30$$
The monthly salaries (in Rs.) of $$10$$ employees of a factory are: $$12000,8500,9200,7400,11300,12700,7800,11500,10320,8100$$. The median salary is:
  • Rs. $$9670$$
  • Rs. $$9760$$
  • Rs. $$6970$$
  • Rs. $$7960$$
Frequency distribution of distance travelled in kms. per liter of petrol by different mopeds is given below.
Distance travelled (in km/lit)62 - 6565 - 6868 - 7171 - 7474 - 7777 - 8080 - 83
No.of mopeds58122835102
Find mean distance travelled per liter of petrol by a moped.
  • $$71.04$$ kms/lit
  • $$73.04$$ kms/lit
  • $$75.04$$ kms/lit
  • $$79.04$$ kms/lit
The following table shows the frequency distribution of advertisements on T.V.
Duration (in sec.)$$25 - 30$$ $$30 - 35$$ $$35 - 40$$$$40 - 45$$$$45 - 50$$$$50 - 55$$
No. of advertisements$$10$$$$32$$$$15$$$$9$$$$7$$$$2$$
Obtain mean duration of an advertisement on T.V. by assumed mean method
  • $$31.97$$ seconds
  • $$32.97$$ seconds
  • $$34.97$$ seconds
  • $$35.97$$ seconds
The following data have been arranged in ascending order of magnitude.
$$63, 66, 69, x, x + 2, 76, 89$$ and $$103$$.
If the median of the given data is $$71$$, find the value of $$x$$.
  • $$60$$
  • $$69$$
  • $$70$$
  • None of these
The data is $$17, 26, 60, 45, 33, 32,29, 34$$ and $$56$$. If $$26$$ is replaced by $$62$$, then the new median is
  • $$17$$
  • $$29$$
  • $$33$$
  • $$34$$
The mean, the median, the mode and the range of the following data:
$$84, 56, 39, 45, 54, 39, 56, 54, 84, 21, 77, 56$$
  • Median $$=55$$
  • Mode$$ = 56$$
  • Mean $$ =58$$
  • Range $$=63$$
Number of calories (in' 00) consumed daily by a sample of 15 years old boys are given below.
Calories1000 - 15001500 - 20002000 - 25002500 - 30003000 - 35003500 - 40004000 - 4500
No. of boys513161827104
Obtain mean calories consumed daily by a boy by step deviation method.
  • $$2222$$ calories
  • $$2548$$ calories
  • $$2563$$ calories
  • $$2761$$ calories
The A.M. of the first ten odd numbers is
  • $$10$$
  • $$100$$
  • $$1000$$
  • $$1$$
A sample of $$25$$ scores has a mean $$75$$, median $$79$$ and standard deviation of $$8$$. If you increase every score by $$10$$, which of the following is true?
$$I$$. The new mean is $$85$$
$$II$$. The new median is $$89$$
$$III$$. The new standard deviation is $$18$$
  • $$I$$ only
  • $$II$$ only
  • $$I$$ and $$II$$ only
  • none
  • $$I, II$$ and $$III$$
Number of plants
0-2
2-4
4-6
6-8
8-10
10-12
12-14
Number of houses
1
2
1
5
6
2
3
mean is $$8.4$$
Is it true or false?
  • True
  • False
  • Ambiguous
  • Data insuffcient


Class Interval
Frequency
100-12
12
120-140
14
140-160
8
160-180
6
180-200
10
mean is 145.20
If true then enter $$1$$ and if false then enter $$0$$
  • non of thease
  • 0
  • 1
  • can not det
0:0:1


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Practice Class 11 Commerce Economics Quiz Questions and Answers