CBSE Questions for Class 11 Commerce Economics Measures Of Central Tendency Quiz 14 - MCQExams.com

Which of the following statements is true?
  • Usually mean is the best measure of central tendency
  • Usually median is the best measure of central tendency
  • Usually mode is the best measure of central tendency
  • Normally, GM is the best measure of central tendency
Extreme values have _______ effect on mode.
  • a large
  • a small
  • no
  • None of above
The following table gives the marks obtained by $$300$$ students of a management course. Find the median of the distribution.
Marks obtainedNo. of students
$$0 - 15$$$$26$$
$$15 - 30$$$$34$$
$$30 - 45$$$$64$$
$$45 - 60$$$$76$$
$$60 - 75$$$$60$$
$$75 - 90$$$$60$$
$$90 - 100$$$$10$$
  • $$62.96$$ marks
  • $$62.13$$ marks
  • $$50.13$$ marks
  • $$50.96$$ marks
$$10, 19, 22, 16, 15, 18, 20, 18, 14, 18, 23$$
The median of the observations above is _________.
  • $$17.55$$
  • $$18$$
  • $$15$$
  • $$16.5$$
Consider following frequency distribution.
Class Intervals$$0-10$$$$10-20$$$$20-30$$$$30-40$$
Frequency$$8$$$$10$$$$12$$$$15$$
Arithmetic mean $$=$$?
  • $$39.65$$
  • $$22.55$$
  • $$32.55$$
  • $$23.56$$
The average rainfall for a week, excluding Sunday, was $$10\ \text{cms}$$. Due to heavy rainfall on Sunday, the average for the week rose to $$15\ \text{cms}$$. How much rainfall was on Sunday?
  • $$25\ \text{cms}$$
  • $$35\ \text{cms}$$
  • $$45\ \text{cms}$$
  • $$55\ \text{cms}$$
What is the value of median for the following data:
MarksNo. of Students
$$5 - 14$$$$10$$
$$15 - 24$$$$18$$
$$25 - 34$$$$32$$
$$35 - 44$$$$26$$
$$45 - 54$$$$14$$
$$55 - 64$$$$10$$
  • $$28$$
  • $$30$$
  • $$32.94$$
  • $$33.18$$
The average marks of three batches of students having 70, 50 and 30 students respectively are 50, 55 andFind the average marks of all the 150 students, taken together.
  • $$50.67$$
  • $$40.67$$
  • $$50.60$$
  • $$40.60$$
What percentage of value lies between $$5th$$ and $$25th$$ percentiles?
  • $$20\%$$
  • $$30\%$$
  • $$75\%$$
  • None of the above
Which of the deciles are less than first quartile?
  • $$D_1 and D_3$$
  • $$D_1 and D_4$$
  • $$D_1 and D_2$$
  • None of the above
Consider the following observation relating to marks obtained by $$10$$ students in CS Foundation Exam: $$201, 202, 207, 222, 276, 201, 246, 212, 285, 312$$.
Arithmetic mean $$=$$?
  • $$206$$
  • $$237.3$$
  • $$217.2$$
  • $$216.1$$
Find median of the following data.
Age greater than (Years)No. of Persons
$$0$$$$230$$
$$20$$$$218$$
$$30$$$$200$$
$$40$$$$165$$
$$50$$$$123$$
$$60$$$$73$$
$$70$$$$288$$
  • $$31.5$$
  • $$41.5$$
  • $$41.6$$
  • $$31.6$$
Find the median of the given mentioned observation $$15, 20, 45, 30, 60, 36$$.
  • $$32$$
  • $$33$$
  • $$47.5$$
  • None of the above
The numerical value separating the higher half of a sample from a lower half is?
  • Median
  • Mode
  • Mean
  • Standard deviation
The average of five numbers is $$40$$ and the average of another six numbers is $$50$$. The average of all numbers taken together is _______.
  • $$44.44$$
  • $$45.00$$
  • $$45.45$$
  • $$90.00$$
The variate values which divide a series (frequency distribution) into $$100$$ equal parts are called ______.
  • quintiles
  • quartiles
  • deciles
  • percentiles
Which of the following statements about the median is NOT true?
  • It is more affected by extreme values than the mean
  • It is the middle value that separates the upper half from the lower half
  • It is equal to the mode in bell-shaped distributions
  • Both b & c
For calculation of median through interpolation formulae $$"h"$$ in the formulae is?
  • Frequency of the median
  • Lower limit of the median class
  • Width of the median class
  • Median
A measure of central tendency that attempts to describe a set of data by identifying the central position within the data is?
  • Mean
  • Mode
  • Median
  • All the above
If the two observations are $$10$$ and $$0$$, their arithmetic mean is _______.
  • $$10$$
  • $$0$$
  • $$5$$
  • none of the above
The formulae for calculating the median if individual observations are given will be.
  • $$(N+1)/2$$th if n is add
  • $$(N+1)th/2$$ if n is even
  • $$(N/2)$$th if n is even
  • Both a & c
A measure of central location which splits the data set into two equal groups is called the.
  • Mean
  • Mode
  • Median
  • Standard deviation
The mean is_____________________.
  • the statistical or arithmetic average
  • the middlemost score
  • the most frequently occurring score
  • the best representation for every set of data
Given the following data set, what is the value of median (2 4 3 6 1 8 9 2 5 7 ).
  • 2
  • 4.7
  • 4.5
  • 10
Consider the following frequency distribution.
Class Intervals$$0-10$$$$10-20$$$$20-30$$$$30-40$$
Frequency$$8$$$$10$$$$12$$$$15$$
Arithmetic mean $$=$$?
  • $$39.65$$
  • $$22.55$$
  • $$32.55$$
  • $$23.56$$
The average (arithmetic mean) of a set of seven numbers is $$8$$. When an eighth number is added to the set, the average of the eight numbers is still $$8$$. What number was added to the set?
  • $$6$$
  • $$7$$
  • $$8$$
  • $$9$$
Following is arranged in ascending order. If the median of the data is $$63$$, find the volume of x in a series $$29, 32, 48, 50, x, x+2, 72, 78, 84, 95$$.
  • $$60$$
  • $$62$$
  • $$63$$
  • $$64$$
The following is the distribution of weekly wages of workers in a factory. Calculate the arithmetic mean of the distribution.
Weekly Wages (Rs.)No. of Workers
$$240-269$$$$7$$
$$270-299$$$$19$$
$$300-329$$$$27$$
$$330-359$$$$15$$
$$360-389$$$$12$$
$$390-419$$$$12$$
$$420-449$$$$8$$
  • $$352.3$$
  • $$344.5$$
  • $$226.7$$
  • $$336.7$$
The arithmetic mean between $$\cfrac { x+a }{ x } $$ and $$\cfrac { x-a }{ x } $$ when $$x\ne 0$$, is (the symbol $$\ne$$ means "not equal to"):
  • $$2$$, if $$a\ne 0$$
  • $$1$$
  • $$1$$, only if $$a=0$$
  • $$\dfrac {a}{x}$$
  • $$x$$
Find the value of $$p$$, if the mean of the following distribution is $$20$$.
$$x$$:$$15$$$$17$$$$19$$$$20+p$$$$23$$
$$f$$:$$2$$$$3$$$$4$$$$5p$$$$6$$
  • $$1$$
  • $$2$$
  • $$3$$
  • $$4$$
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