CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 7 - MCQExams.com

If in a data, $$10$$ numbers arranged in increasing order. If the $$7$$th entry is increased by $$4,$$ then the median increases by
  • zero
  • $$4$$
  • $$6$$
  • $$5$$
The numbers $$3, 5, 7$$ and $$9$$  have their respective frequencies $$ x-2, x+2, x-3 $$  and $$ x+3$$. If the arithmetic mean is $$6.5$$, then the value of $$ x$$ is
  • $$3$$
  • $$4$$
  • $$5$$
  • $$6$$
Mode of the data
$$15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15$$ is
  • $$14$$
  • $$15$$
  • $$16$$
  • $$17$$
The mean is
  • $$70$$
  • $$68$$
  • $$71$$
  • $$69$$
Median of the following numbers:
$$4, 4, 5, 7, 6, 7, 7, 12, 3$$ is
  • $$4$$
  • $$5$$
  • $$6$$
  • $$7$$
The number of observations in a group is $$40$$ . If the average of first  $$10$$  is  $$4.5$$  and that of the remaining  $$30$$  is  $$3.5$$, then the average of the whole group is
  • $$\displaystyle \frac{1}{5}$$
  • $$\displaystyle \frac{15}{4}$$
  • $$4$$
  • $$8$$
The mean weight of $$20$$  students is $$25$$ kg and the mean weight of another $$10$$ students is $$40$$ kg. Find the mean weight of the $$30$$ students.
  • $$20$$
  • $$30$$
  • $$40$$
  • $$50$$
If three sets of data had means of $$15, 22.5$$ and  $$24$$  based on $$6, 4,$$ and $$5$$ observations respectively, then the mean of these three sets combined is
  • $$20.0$$
  • $$20.5$$
  • $$22.5$$
  • $$24.0$$
  • Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  • Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  • Assertion is correct but Reason is incorrect
  • Assertion is incorrect but Reason is correct
The mean of the following distribution is
class
Frequency
0-5
4
5-10
5
10-15
7
15-20
12
20-25
7
25-30
5
  • $$15$$
  • $$16$$
  • $$17$$
  • $$18$$
The numbers $$ 4, 6\  and\  8$$  are the frequencies of $$(x +  2), x \ and\  (x - 1) $$ respectively . If their arithmetic mean is $$8,$$  the value of  $$x$$  is
  • $$5$$
  • $$6$$
  • $$7$$
  • $$8$$
A contractor employed $$18$$  labourers at Rs. $$12$$ per day, $$ 10$$ labourers at Rs.$$ 13.50 $$ per  day,$$ 5$$ labourers at Rs.$$ 25 $$ per  day and $$2$$ labourers at Rs.$$ 42$$ per day. The average  wage of a labourer per day is 
  • Rs. $$16$$
  • Rs. $$20$$
  • Rs.$$ 24$$
  • Rs. $$28$$
In a class test in English $$10$$ students scored $$75$$ marks, $$12$$ students scored $$60$$ marks, $$8$$ scored $$40$$ marks and $$3$$ scored $$30$$ marks, the mode  for their score is
  • $$75$$
  • $$30$$
  • $$60$$
  • $$25$$
The median of the following numbers $$25, 27, 21, 23, 24$$ is ___________.
  • $$21$$
  • $$23$$
  • $$25$$
  • $$24$$
The examination marks of $$250$$ pupils are recorded below. Find the mean.
Class interval
0-9
10-19
20-29
30-39
40-49
Frequency
0
2
6
24
36
Class interval
50-59
60-69
70-79
80-89
90-99
Frequency
47
55
40
27
13
  • $$50.12$$
  • $$90.31$$
  • $$60.82$$
  • $$75.12$$
The marks of $$20$$ students in a test were as follows:
$$5, 6, 8, 9, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 18, 19, 20$$
The median is
  • $$13.5$$
  • $$12.5$$
  • $$14.5$$
  • $$15.5$$
The median of variables 5, 8, 10, 13, 17, 21, 27, 30, 33, 42 is
  • 21
  • 17
  • 38
  • 19
Arithmetic mean for the given data is
Marks
No. of students
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
5
10
25
30
20
10
  • $$55$$
  • $$35$$
  • $$2$$
  • $$33$$
The average weight of $$10$$ men is decreased by $$ 3 \space kg$$  when one of them whose weight is $$80 kg $$  is replaced by a new person. The weight of the new person is
  • $$70$$
  • $$60$$
  • $$50$$
  • $$73$$
In a family, there are $$8$$ men, $$7$$ women and $$5$$ children whose mean ages separately are respectively $$24,20$$ and $$6$$ years. The mean age of the family is
  • $$17.1$$ years
  • $$18.1$$ years
  • $$19.1$$ years
  • none of these
Marks obtained by 60 students of a class are shown as 
Marks30-40 40-50 50-6060-7070-8080-9090-100
Number
of students
8 7$$f_1$$155$$f_2$$7
the mean marks are 64, then $$f_1$$ : $$f_2$$ is
  • $$7 : 4$$
  • $$4 : 5$$
  • $$5 : 4$$
  • None of these
A group of $$10$$ items has arithmetic mean $$6$$. If the arithmetic mean of $$4$$ of these items is $$7.5$$, then the mean of the remaining items is
  • $$6.5$$
  • $$5.5$$
  • $$4.5$$
  • $$5.0$$
The daily wages (in Rs.) of ten workers are $$20,25,17,18,8,15,22,11,9,14$$. The median of wages is
  • $$15$$
  • $$16$$
  • $$17$$
  • $$14$$
The number of observations in a group is $$40$$. If the average of first $$10$$ is $$4.5$$ and that of the remaining $$30$$ is $$3.5$$, then the average of the whole group is:
  • $$\displaystyle\frac{15}{4}$$
  • $$\displaystyle\frac{1}{5}$$
  • $$8$$
  • $$4$$
Obtain the median for the following frequency distribution
x:
1
2
3
4
5
6
7
8
9
f :
8
10
11
16
20
25
15
9
6
  • $$6$$
  • $$4$$
  • $$3$$
  • $$5$$
If $$x_i$$'s are the mid points of the class intervals of grouped data, $$f_1$$'s are the corresponding frequencies and $$\bar x$$ is the mean, then $$\sum (f_i x_i - \bar x)$$ is equal to
  • $$0$$
  • $$-1$$
  • $$1$$
  • $$2$$
If $$u_i \displaystyle = \frac{x_i - 25}{10} , \sum f_i u_i=20$$ and $$\sum f_i =100$$, then $$\overline {x}$$ is equal to
  • $$27$$
  • $$25$$
  • $$30$$
  • $$35$$
A firm of readymade garments make both men's and women's shirt. Its profit average is $$6$$% of sales. Its profits in men's shirt average $$8$$% of sales and women's shirts comprise $$60$$% of output. The average profit per sales rupee in women's shirts is :
  • $$0.0466$$
  • $$0.0166$$
  • $$0.0666$$
  • None of these
Following table gives frequency distribution of trees planted by different housing societies in a particular locality.
Find mean number of trees planted by housing society by using 'step deviation method'.
No. of tress10 - 1515 - 2020 - 2525 - 3030 - 3535 - 40
No. of Societies279864
  • $$25.42$$ trees
  • $$27.42$$ trees
  • $$29.42$$ trees
  • $$31.42$$  trees
The results of two colleges are as follows: then
M.AM.Sc.B.A.B.Sc.Total
AAppeared

10060120200480
passed904575150360
BAppeared

240200160200800
Passed200160100140600
  • A is better than B
  • None is better than the other
  • A is inferior to B
  • can not say
0:0:1


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