CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 6 - MCQExams.com

If a variable takes the discrete values $$\alpha +4,\alpha -\cfrac{7}{2},\alpha -\cfrac{5}{2},\alpha -3,\alpha -2,\alpha +\cfrac{1}{2},\alpha -\cfrac{1}{2},\alpha +5(\alpha > 0)$$ then the median is
  • $$\alpha -\cfrac{1}{4}$$
  • $$\alpha -\cfrac{1}{2}$$
  • $$\alpha -2$$
  • $$\alpha +\cfrac{5}{4}$$
Find the mode of the following data:
$$90, 40, 68, 90, 50, 60$$
  • $$40$$
  • $$68$$
  • $$90$$
  • $$50$$
Most frequently occuring values of a set of observation
  • Mean
  • Mode
  • Median
  • none
A school has four sections of chemistry in class XII having $$40, 35, 45$$ and $$42$$ students. The mean marks obtained in Chemistry test are $$50, 60, 55$$ and $$45$$ respectively for the four sections. The overall average of marks per students is -
  • $$53$$
  • $$43$$
  • $$55.3$$
  • $$52.25$$
7 kg of tea costing Rs. 280 per kg is mixed with 9 kg of tea costing Rs. 240 per kg. The average price per kg of the mixed tea is:
  • Rs. 255.80
  • Rs. 257.50
  • Rs. 267.20
  • Rs. 267.50
Find the median of the data $$a,ar,ar^{2}$$,......$$ar^{n}$$ where $$n$$ is an odd number.
  • $$ar^{\cfrac{n-1}{2}}$$
  • $$\dfrac{a}{2}(1-r)r^{\dfrac{n+1}{2}}$$
  • $$\dfrac{a}{2}(1+r)r^{\dfrac{n-1}{2}}$$
  • $$\dfrac{a}{2}(1-r)r^{\dfrac{n-1}{2}}$$
A car owner buys petrol at Rs. $$7.50$$, Rs. $$8$$ and Rs. $$8.50$$ per litre for three consecutive years. What approximately is the average cost per litre if he spends Rs. $$4000$$ each year?
  • Rs. $$7.98$$
  • Rs. $$8$$
  • Rs. $$8.50$$
  • Rs. $$9$$
The median of the set of the observation 1,3,5,7,11,13,17 is 
  • $$1$$
  • $$7$$
  • $$9$$
  • $$17$$
The median of the observations $$3,18,6,16,12$$ and $$10$$ is
  • $$11$$
  • $$10$$
  • $$12$$
  • $$20$$
In a test in Mathematics, $$7$$ student scored $$19$$ marks, $$11$$ student scored $$15$$ marks, $$16$$ students $$13$$ marks and $$12$$ student scored $$10\ marks$$. The mode of the data is
  • $$19\ marks$$
  • $$15\ marks$$
  • $$13\ marks$$
  • $$10\ marks$$
The mean height of 25 male workers in a factory is 61 cm, and the mean height of 35 female workers in the same factory is 58 cm. The combined mean height of 60 workers in the factory is
  • 59.25
  • 59.5
  • 59.75
  • 58.75
The mean weight of 9 students is 25 kg. If one more student is joined in the group the mean is unaltered, then the weight of the 10th student is
  • 25 kg
  • 24 kg
  • 26 kg
  • 23 kg
The sum of $$15$$ observations is $$434+x.$$ If the mean of the data is $$x,$$ then find $$x.$$
  • $$25$$
  • $$27$$
  • $$31$$
  • $$33$$
The mode of the unimodular data $$7, 8, 9, 8, 9, 10, 9, 10, 11, 10, 12$$ and $$x$$ is $$10$$. The value of $$x$$ is 
  • $$10$$
  • $$9$$
  • $$8$$
  • $$11$$
Out of 5 brands of chocolates in a shop, a boy has to purchase the brand which is most liked by children . What measure of central tendency would be most appropriate if the data is provided to him?
  • Mean
  • Mode
  • Median
  • Any of the three
The mean of first ten odd natural number is
  • 5
  • 10
  • 20
  • 19
From a frequency distribution table if $$N = 100,  h = 10 ;c.f. = 38 ;f = 18 ;L = 50$$, then find the median for the distribution. Choose the correct alternative.
  • $$56.67 $$
  • $$55.76 $$
  • $$56.76 $$
  • $$ 55.87 $$
The mean of $$100$$ observations is $$50$$. If one of the observations which was $$50$$ is replaced by$$ 150$$, the resulting mean will be :
  • $$50.5$$
  • $$51$$
  • $$51.5$$
  • $$52$$
A football player scored the following number of goals in the $$10$$ matches:
$$1, 3, 2, 5, 8, 6, 1, 4, 7, 9$$
Since the number of matches is $$10$$ (an even number), therefore, the median
$$=\dfrac{5^{th} \text{observation} +6^{th} \text{observation}}{2}$$
$$=\dfrac{8+6}{2}=7$$
Is it the correct answer and why?
  • Correct
  • Incorrect
  • Ambiguous
  • Data insufficient
If the mean of variate X in distribution 2.6, then the value of k is
Variate X12345
Frequency of X45k12
  • $$8$$
  • $$10$$
  • $$12$$
  • $$18$$
If the mean of the observations:
$$x, x + 3, x + 5, x + 7, x + 10$$ is $$9$$, the mean of the last three observations is
  • $$10\dfrac{1}{3}$$
  • $$10\dfrac{2}{3}$$
  • $$11\dfrac{1}{3}$$
  • $$11\dfrac{2}{3}$$
The mean of $$25$$ observations is $$36$$. Out of these observations if the mean of first $$13$$ observations is $$32$$ and that of the last $$13$$ observations is $$40$$, the $$13$$th observation is :
  • $$23$$
  • $$36$$
  • $$38$$
  • $$40$$
The median of the data
$$78, 56, 22, 34, 45, 54, 39, 68, 54, 84$$ is
  • $$45$$
  • $$49.5$$
  • $$54$$
  • $$56$$
A total of $$25$$ patients admitted to a hospital are tested for levels of blood sugar $$(mg/dl)$$ and the results obtained were as follows:
$$87$$ $$71$$ $$83$$ $$67$$ $$85$$
$$77$$ $$69$$ $$76$$ $$65$$ $$85$$
$$85$$ $$54$$ $$70$$ $$68$$ $$80$$
$$73$$ $$78$$ $$68$$ $$85$$ $$73$$
$$81$$ $$78$$ $$81$$ $$77$$ $$75$$
Find mean, median and mode $$(mg/dl)$$ of the above data.
  • Mean $$= 75.64$$, Median $$= 77$$, Mode $$= 85$$
  • Mean $$= 75.64$$, Median $$= 76$$, Mode $$= 81$$
  • Mean $$= 75.64$$, Median $$= 77$$, Mode $$= 81$$
  • Mean $$= 73.64$$, Median $$= 76$$, Mode $$= 85$$
The points scored by a basket ball team in a series of matches are as follows:
$$17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28$$
Find the median and mode for the data.
  • Median $$= 12$$, mode $$= 10$$
  • Median $$= 11$$, mode $$= 10$$
  • Median $$= 12$$, mode $$= 18$$
  • Median $$= 10$$, mode $$= 18$$
The mean marks (out of $$100$$) of boys and girls in an examination are $$70$$ and $$73$$, respectively. If the mean marks of all the students in that examination is $$71$$, find the ratio of the number of boys to the number of girls.
  • $$1:1$$
  • $$2:1$$
  • $$1:2$$
  • $$2:3$$
Mean of $$50$$ observations was found to be $$80.4$$. But later on, it was discovered that $$96$$ was misread as$$ 69$$ at one place. Find the correct mean.
  • $$75.9$$
  • $$8.4$$
  • $$79$$
  • $$80.94$$
The median of a set of $$9$$ distinct observations is $$20.5$$. If each of the largest $$4$$ observation of the set is increased by $$2$$, then the median of the new set
  • is increased by $$2$$
  • is decreased by $$2$$
  • is two times the original median
  • remains the same as that of the original set
In a class of 100 students there are 70 boys whose average marks in a subject areIf the average marks of the complete class are 72, then the average marks of the girls :
  • $$73$$
  • $$65$$
  • $$68$$
  • $$74$$
If mode of the following data is $$7$$, then the value of $$k$$ in the $$2, 4, 6, 7, 5, 6, 10, 6, 7, 2k + 1, 9, 7, 13$$ is:
  • $$3$$
  • $$7$$
  • $$4$$
  • $$2$$
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